1. Unit startpage
  2. Employees
  3. Valentin Lychagin
Prof.-Valentin-Lychagin
Prof.-Valentin-Lychagin
Department of Mathematics and Statistics vly000@post.uit.no 77644021 Tromsø REALF A 219

Lychagin, Valentin

Professor

  • Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey. Symmetries and Differential Invariants for Inviscid Flows on a Curve. Lobachevskii Journal of Mathematics 2021; Volum 41 (12). ISSN 1995-0802.s 2435 - 2447.s doi: 10.1134/S1995080220120100.
  • Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey. Continuum mechanics of media with inner structures. Differential geometry and its applications 2021; Volum 74. ISSN 0926-2245.s 1 - 10.s doi: 10.1016/j.difgeo.2020.101703.
  • Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey. Symmetry classification of viscid flows on space curves. Journal of Geometry and Physics 2021; Volum 160. ISSN 0393-0440.s 1 - 15.s doi: 10.1016/j.geomphys.2020.103997.
  • Lychagin, Valentin; Yumaguzhin, Valeriy. On structure of linear differential operators, acting on line bundles. Journal of Geometry and Physics 2020; Volum 148 (3). ISSN 0393-0440.s doi: 10.1016/j.geomphys.2019.103549.
  • Lychagin, Valentin; Roop, Mikhail. Real gas flows issued from a source. Analysis and Mathematical Physics 2020; Volum 10 (1). ISSN 1664-2368.s doi: 10.1007/s13324-019-00349-z.
  • Bibikov, Pavel; Lychagin, Valentin. Invariants of algebraic group actions from differential point of view. Journal of Geometry and Physics 2019; Volum 136. ISSN 0393-0440.s 89 - 96.s doi: 10.1016/j.geomphys.2018.09.001.
  • Lychagin, Valentin; Yumaguzhin, Valeriy. On equivalence of third order linear differential operators on two-dimensional manifolds. Journal of Geometry and Physics 2019; Volum 146. ISSN 0393-0440.s doi: 10.1016/j.geomphys.2019.103507.
  • Lychagin, Valentin; Roop, Mikhail. Steady filtration of Peng-Robinson gases in a porous medium. Global and Stochastic Analysis (GSA) 2019; Volum 6 (2). ISSN 2248-9444.
  • Lychagin, Valentin; Roop, Mikhail. Phase transitions in filtration of Redlich-Kwong gases. Journal of Geometry and Physics 2019; Volum 143. ISSN 0393-0440.s 33 - 40.s doi: 10.1016/j.geomphys.2019.05.002.
  • Lychagin, Valentin. Adiabatic filtration of an ideal gas in a homogeneous and isotropic porous medium. Global and Stochastic Analysis (GSA) 2019; Volum 6 (1). ISSN 2248-9444.
  • Konovenko, Nadiia; Lychagin, Valentin. Projective classication of rational CP1-mappings. Analysis and Mathematical Physics 2019; Volum 9 (4). ISSN 1664-2368.s 1865 - 1876.s doi: 10.1007/s13324-019-00281-2.
  • Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey. Differential invariants for spherical layer flows of inviscid fluids. Analysis and Mathematical Physics 2019; Volum 9 (4). ISSN 1664-2368.s 1819 - 1829.s doi: 10.1007/s13324-018-0274-0.
  • Duyunova, Anna; Lychagin, Valentin; Tychkov, Serjei. Differential invariants for spherical flows of a viscid fluid. Journal of Geometry and Physics 2018; Volum 124. ISSN 0393-0440.s 436 - 441.s doi: 10.1016/j.geomphys.2017.11.014.
  • Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin. Thermodynamics and Optimal Control of Porous Media Flows in Oil Field Development. Doklady. Mathematics 2018; Volum 97 (2). ISSN 1064-5624.s 131 - 136.s doi: 10.1134/S1064562418020084.
  • Duyunova, AA; Lychagin, Valentin; Tychkov, SN. Differential Invariants for Spherical Flows of Inviscid Fluid. Lobachevskii Journal of Mathematics 2018; Volum 39 (5). ISSN 1995-0802.s 655 - 663.s doi: 10.1134/S1995080218050062.
  • Akhmetzianov, Atlas; Kushner, Alexei G.; Lychagin, Valentin. Two-dimensional non-isothermal filtration and optimal control of oil field development *. IFAC-PapersOnLine 2018; Volum 51 (11). ISSN 2405-8963.s 888 - 890.s doi: 10.1016/j.ifacol.2018.08.453.
  • Konovenko, Nadiia; Lychagin, Valentin. Invariants for primary visual cortex. Differential geometry and its applications 2018; Volum 60. ISSN 0926-2245.s 156 - 173.s doi: 10.1016/j.difgeo.2018.04.009.
  • Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey. Differential invariants for spherical layer flows of viscid fluids. Journal of Geometry and Physics 2018; Volum 130. ISSN 0393-0440.s 288 - 292.s doi: 10.1016/j.geomphys.2018.04.005.
  • Lychagin, Valentin; Yumaguzhin, Valeriy. Classification of the second order linear differential operators and differential equations. Journal of Geometry and Physics 2018; Volum 130. ISSN 0393-0440.s 213 - 228.s doi: 10.1016/j.geomphys.2018.03.025.
  • Atlas, Ahmetzyanov; Kushner, Alexei; Lychagin, Valentin. Optimal Management of Oil Field Development in the Buckley–Leverett Model. Automation and remote control 2018; Volum 79 (4). ISSN 0005-1179.s 641 - 654.s doi: 10.1134/S0005117918040069.
  • Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin. Mass and heat transport in the two-phase Buckley-Leverett model. Journal of Geometry and Physics 2017; Volum 113. ISSN 0393-0440.s 2 - 9.s doi: 10.1016/j.geomphys.2016.06.010.
  • Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin. Finite dimensional dynamics for nonlinear filtration equation. Procedia Computer Science 2017; Volum 112. ISSN 1877-0509.s 1361 - 1368.s doi: 10.1016/j.procs.2017.08.038.
  • Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey. Differential invariants for flows of viscid fluids. Journal of Geometry and Physics 2017; Volum 121. ISSN 0393-0440.s 309 - 316.s doi: 10.1016/j.geomphys.2017.07.021.
  • Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey. Classification of equations of state for viscous fluids. Doklady. Mathematics 2017; Volum 95 (2). ISSN 1064-5624.s 172 - 175.s doi: 10.1134/S1064562417020211.
  • Duyunova, Anna; Lychagin, Valentin; Tychkov, Serjei. Differential invariants for plane flows of viscid fluids. Lobachevskii Journal of Mathematics 2017; Volum 38 (4). ISSN 1995-0802.s 644 - 652.s doi: 10.1134/S1995080217040084.
  • Nadiia, Konovenko; Lychagin, Valentin. Mobius invariants in image recognition. Journal of Geometric Mechanics (JGM) 2017; Volum 9 (2). ISSN 1941-4889.s 191 - 206.s doi: 10.3934/jgm.2017008.
  • Akhmetzyanov, A.V.; Kushner, Alexei G.; Lychagin, Valentin. Attractors in models of porous media flow. Doklady. Mathematics 2017; Volum 95 (1). ISSN 1064-5624.s 72 - 75.s doi: 10.1134/S1064562417010239.
  • Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey. Differential invariants for plane flows of inviscid fluids. Analysis and Mathematical Physics 2017; Volum 8 (1). ISSN 1664-2368.s 135 - 154.s doi: 10.1007/s13324-017-0169-5.
  • Konovenko, Nadiia; Lychagin, Valentin. Invariants of projective actions and their applications to recognition of fingerprints. Analysis and Mathematical Physics 2016; Volum 6 (1). ISSN 1664-2368.s 95 - 107.s doi: 10.1007/s13324-015-0113-5.
  • Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin. Shock waves in initial boundary value problem for filtration in two-phase 2-dimensional porous media. Global and Stochastic Analysis (GSA) 2016; Volum 3 (2). ISSN 2248-9444.s 41 - 46.
  • Kruglikov, Boris; Lychagin, Valentin. Global Lie-Tresse theorem. Selecta Mathematica, New Series 2016; Volum 22 (3). ISSN 1022-1824.s 1357 - 1411.s doi: 10.1007/s00029-015-0220-z.
  • Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin. Control of displacement front in a model of immiscible two-phase flow in porous media. Doklady. Mathematics 2016; Volum 94 (1). ISSN 1064-5624.s 378 - 381.s doi: 10.1134/S1064562416040074.
  • Lychagin, Valentin; Bibikov, Pavel. Differential contra algebraic invariants: Applications to classical algebraic problems. Lobachevskii Journal of Mathematics 2016; Volum 37 (1). ISSN 1995-0802.s 36 - 49.
  • Lychagin, Valentin; Yumaguzhin, Valeriy. Natural spinor structures over Lorentzian manifolds. Journal of Geometry and Physics 2016; Volum 106. ISSN 0393-0440.s 1 - 5.s doi: 10.1016/j.geomphys.2016.03.004.
  • Lychagin, Valentin; Yumaguzhin, Valeriy. Differential invariants and exact solutions of the Einstein-Maxwell equation. Analysis and Mathematical Physics 2016; Volum 7 (1). ISSN 1664-2368.s 19 - 29.s doi: 10.1007/s13324-016-0127-7.
  • Lychagin, Valentin; Yumaguzhin, Valeriy. Differential invariants and exact solutions of the Einstein equation. Analysis and Mathematical Physics 2016; Volum 7 (2). ISSN 1664-2368.s 107 - 115.s doi: 10.1007/s13324-016-0130-z.
  • Kushner, Alexei G.; Lychagin, Valentin. Petrov invariants for 1-D control Hamiltonian systems. Global and Stochastic Analysis (GSA) 2015; Volum 2 (1). ISSN 2248-9444.s 89 - 100.
  • Lychagin, Valentin; Yumaguzhin, Valeriy. Invariants in relativity theory. Lobachevskii Journal of Mathematics 2015; Volum 36 (3). ISSN 1995-0802.s 298 - 312.s doi: 10.1134/S1995080215030099.
  • Konovenko, Nadiia; Lychagin, Valentin. Lobachevskian geometry in image recognition. Lobachevskii Journal of Mathematics 2015; Volum 36 (3). ISSN 1995-0802.s 286 - 291.s doi: 10.1134/S1995080215030075.
  • Kushner, Alexei G.; Lychagin, Valentin. Feedback Invariants of Control Hamiltonian Systems. IFAC-PapersOnLine 2015; Volum 48 (3). ISSN 2405-8963.s 1273 - 1275.s doi: 10.1016/j.ifacol.2015.06.260.
  • Akhmetzianov, Atlas; Kushner, Alexei; Lychagin, Valentin. Integrable Models of Oil Displacement. IFAC-PapersOnLine 2015; Volum 48 (3). ISSN 2405-8963.s 1264 - 1267.s doi: 10.1016/j.ifacol.2015.06.258.
  • Lychagin, Valentin; Yumaguzhin, V.A.. On the cauchy problem for the Einstein-Maxwell equation. Doklady. Mathematics 2014; Volum 89 (2). ISSN 1064-5624.s 222 - 224.s doi: 10.1134/S1064562414020288.
  • Lychagin, Valentin; Bibikov, Pavel. On differential invariants of actions of semisimple Lie groups. Journal of Geometry and Physics 2014; Volum 85. ISSN 0393-0440.s 99 - 105.s doi: 10.1016/j.geomphys.2014.05.018.
  • Lychagin, Valentin; Yumaguzhin, Valeriy. Cohomological uniqueness of the Cauchy problem solutions for the Einstein–Maxwell equation. Journal of Geometry and Physics 2014; Volum 85. ISSN 0393-0440.s 206 - 229.s doi: 10.1016/j.geomphys.2014.05.003.
  • Lychagin, Valentin; Huru, Hilja Lisa. Quantizations of compact Lie group actions. Journal of Geometry and Physics 2014; Volum 80. ISSN 0393-0440.s 26 - 36.s doi: 10.1016/j.geomphys.2014.01.015.
  • Huru, Hilja Lisa; Lychagin, Valentin. On abelian group actions and Galois quantizations. Journal of Geometry and Physics 2013; Volum 70. ISSN 0393-0440.s 81 - 97.s doi: 10.1016/j.geomphys.2013.03.011.
  • Lychagin, Valentin; Konovenko, N. G.. On projective classification of algebraic curves. Mathematical Bulletin Shevchenko scientific society 2013; Volum 10. ISSN 1812-6774.s 51 - 64.
  • Akhmetzyanov, A.V.; Kushner, A. G.; Lychagin, Valentin. Geometric theory of special modes in the distributed-parameter control systems. Automation and remote control 2013; Volum 74 (11). ISSN 0005-1179.s 1786 - 1801.s doi: 10.1134/S0005117913110027.
  • Kushner, Alexei G.; Lychagin, Valentin. Petrov invariants of Hamiltonian systems with a control parameter. Automation and remote control 2013; Volum 74 (3). ISSN 0005-1179.s 385 - 400.s doi: 10.1134/S0005117913030053.
  • Bibikov, Pavel; Lychagin, Valentin. Classification of Linear Actions of Algebraic Groups on Spaces of Homogeneous Forms. Doklady. Mathematics 2012; Volum 85 (1). ISSN 1064-5624.s 109 - 112.s doi: 10.1134/S1064562412010383.
  • Huru, Hilja Lisa; Lychagin, Valentin. Quantizations of Group Actions. Journal of Generalized Lie Theory and Applications 2012; Volum 6. ISSN 1736-5279.s doi: 10.4303/jglta/G120403.
  • Lychagin, Valentin; Yumaguzhin, Valeriy. On the Cauchy Problem for the Einstein Equation. Doklady. Mathematics 2012; Volum 86 (3). ISSN 1064-5624.s 781 - 783.s doi: 10.1134/S1064562412060166.
  • Lychagin, Valentin; Yumaguzhin, Valeriy. Cohomological uniuqeness of the Cauchy problem for the Einstein equation. Journal of Geometry and Physics 2012; Volum 62 (10). ISSN 0393-0440.s 2099 - 2120.s doi: 10.1016/j.geomphys.2012.06.001.
  • Lychagin, Valentin; Kushner, Alexei. Petrov Invariants for 1-D Control Hamiltonian Systems. Global and Stochastic Analysis (GSA) 2012; Volum 2 (1). ISSN 2248-9444.s 89 - 100.
  • Lychagin, Valentin; Konovenko, N. G.. Integrable systems and projective quantities. Izvestia PGPU 2011; Volum 26. ISSN 1999-7116.s 105 - 110.
  • Lychagin, Valentin; Konovenko, N. G.. On projective classification of plane curves. Global and Stochastic Analysis (GSA) 2011; Volum 1 (2). ISSN 2248-9444.s 241 - 264.
  • Lychagin, Valentin; Bibikov, Pavel. GL2(C)-Orbits of Binary Rational Forms. Lobachevskii Journal of Mathematics 2011; Volum 32 (1). ISSN 1995-0802.s 95 - 102.s doi: 10.1134/S1995080211010069.
  • Lychagin, Valentin; Bibikov, Pavel. GL3(C)-orbits of ternary rational forms. Doklady. Mathematics 2011; Volum 84 (1). ISSN 1064-5624.s 482 - 484.s doi: 10.1134/S1064562411030264.
  • Lychagin, Valentin; Bibikov, Pavel. Projective classification of binary and ternary forms. Journal of Geometry and Physics 2011; Volum 61 (10). ISSN 0393-0440.s 1914 - 1927.s doi: 10.1016/j.geomphys.2011.05.001.
  • Bibikov, P. V.; Lychagin, Valentin. GL(2)(C)-Orbits of Binary Forms. Doklady. Mathematics 2010; Volum 82 (3). ISSN 1064-5624.s 915 - 916.s doi: 10.1134/S1064562410060207.
  • Lychagin, Valentin; Konovenko, Nadiia. Differential Invariants algebras for Lobachevskii and de Sitter geometry. Natsional'na Akademiya Nauk Ukrainy. Dopovidi: naukovyi zhurnal 2010 (1). ISSN 1025-6415.s 13 - 16.
  • Goldberg, Vladislav; Lychagin, Valentin. Samuelson's webs. Doklady. Mathematics 2010; Volum 81 (1). ISSN 1064-5624.s 43 - 46.s doi: 10.1134/S1064562410010138.
  • Lychagin, Valentin. Feedback Differential Invariants. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications 2010; Volum 109 (1). ISSN 0167-8019.s 211 - 222.s doi: 10.1007/s10440-009-9448-y.
  • Goldberg, Vladislav; Lychagin, Valentin. Geodesic Webs on a Two-Dimensional Manifold and Euler Equations. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications 2010; Volum 109 (1). ISSN 0167-8019.s 5 - 17.s doi: 10.1007/s10440-009-9437-1.
  • Kruglikov, Boris; Lychagin, Valentin. Compatibility, Multi-brackets and Integrability of Systems of PDEs. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications 2010; Volum 109 (1). ISSN 0167-8019.s 151 - 196.s doi: 10.1007/s10440-009-9446-0.
  • Lychagin, Valentin; Konovenko, N. G.. On metric equivalence for functions on Lobachevskii plane. Uch. Zap. Kazan. Gos. Univ., Ser. Fiz.-Mat. Nauki 2009; Volum 151 (4). ISSN 1815-6088.s 54 - 59.
  • Goldberg, Vladislav; Lychagin, Valentin. Geodesic webs of hypersurfaces. Doklady. Mathematics 2009; Volum 79 (2). ISSN 1064-5624.s 284 - 286.s doi: 10.1134/S1064562409020355.
  • Lychagin, Valentin; Yumaguzhin, V. A.. On geometric structures of 2-dimensional gas dynamics equations. Lobachevskii Journal of Mathematics 2009; Volum 30 (4). ISSN 1995-0802.s 327 - 332.
  • Lychagin, Valentin; Yumaguzhin, V. A.. Minkowski metrics on solutions of the Khokhlov-Zabolotskaya equation. Lobachevskii Journal of Mathematics 2009; Volum 30 (4). ISSN 1995-0802.s 333 - 336.
  • Lychagin, Valentin; Goldberg, Vladislav. Hyperplanar Webs and Euler Equations. Proceedings of the Institute of Mathematics of NAS of Ukraine 2009; Volum 6 (2). ISSN 1815-2910.s 276 - 287.
  • Lychagin, Valentin. Feedback Equivalence of 1-dimentional Control Systems of the 1-st Oder. Proceedings of the Institute of Mathematics of NAS of Ukraine 2009; Volum 6 (2). ISSN 1815-2910.s 288 - 302.
  • Lychagin, Valentin; Yumaguzhin, V.A.. Minkowski metrics on solutions of the equation of nonstationary transonic gas flow. Proceedings of the International Geometry Center 2009; Volum 2 (1). ISSN 2072-9812.s 27 - 34.
  • Kruglikov, Boris; Lychagin, Valentin. Differential invariants of the motion group actions. Nova Science Publishers, Inc. 2009 ISBN 978-1-60456-920-9.s 237 - 251.
  • Goldberg, Vladislav; Lychagin, Valentin. On Rank Problems for Planar Webs and Projective Structures. Springer Publishing Company 2009 ISBN 978-3-642-00872-6.s 75 - 106.
  • Huru, Hilja Lisa; Lychagin, Valentin. Quantization and classical non-commutative and non-associative algebras. Journal of Generalized Lie Theory and Applications 2008; Volum 2 (1). ISSN 1736-5279.s 24 - 33.
  • Jakobsen, Per; Lychagin, Valentin. Stochastic relations and the problem of prior in the principle of maximum entropy. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications 2008; Volum 101. ISSN 0167-8019.s 133 - 143.s doi: 10.1007/s10440-008-9196-4.
  • Lychagin, Valentin; Huru, Hilja Lisa. Quantizations and classical non-commutative non-associative algebras. Journal of Generalized Lie Theory and Applications 2008 (1). ISSN 1736-5279.s 35 - 44.
  • Lychagin, Valentin; Konovenko, N. G.. Differential invariants of nonstandard projective structures. Natsional'na Akademiya Nauk Ukrainy. Dopovidi: naukovyi zhurnal 2008 (11). ISSN 1025-6415.s 10 - 13.
  • Lychagin, Valentin. On compatibility of systems of PDEs. Acta Academiae Aboensis Ser B Mathematica et physica 2008 (2). ISSN 0001-5105.s 87 - 95.
  • Lychagin, Valentin; Goldberg, Vladislav. On a class of linearizable planar geodesic webs. Proceedings of the International Geometry Center 2008; Volum 1 (1-2). ISSN 2072-9812.s 5 - 11.
  • Kruglikov, Boris Serafimovich; Lychagin, Valentin. Spencer delta-cohomology, restrictions, characteristics and involutive symbolic PDEs. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications 2007; Volum 95. ISSN 0167-8019.s 31 - 50.s doi: 10.1007/s10440-006-9080-z.
  • Lychagin, Valentin; Lychagina, Olga. Finite dimensional dynamics for evolutionary equations. Nonlinear dynamics 2007; Volum 48. ISSN 0924-090X.s 29 - 48.s doi: 10.1007/s11071-006-9049-5.
  • Kruglikov, Boris Serafimovich; Lychagin, Valentin. Mayer brackets and solvability of PDES - II. Transactions of the American Mathematical Society 2006; Volum 358. ISSN 0002-9947.
  • Lychagin, Valentin; Goldberg, Vladislav. On the Blaschke conjecture for 3-webs. Journal of Geometric Analysis 2006; Volum 16 (1). ISSN 1050-6926.s 69 - 115.
  • Kruglikov, Boris Serafimovich; Lychagin, Valentin. Invariants of pseudogruop actions: Homological methods and Finiteness theorem. International Journal of Geometric Methods in Modern Physics (IJGMMP) 2006; Volum 3. ISSN 0219-8878.
  • Jakobsen, Per; Lychagin, Valentin. Maximum Entropy Wavefunctions. Lobachevskii Journal of Mathematics 2006; Volum 23. ISSN 1995-0802.s 29 - 56.
  • Kruglikov, Boris Serafimovich; Lychagin, Valentin. Multi-brackets of differential operators and compatibility of PDE systems. Comptes rendus. Mathematique 2006; Volum 342. ISSN 1631-073X.
  • Jakobsen, Per; Lychagin, Valentin. Quantizations in a category of relations. Lobachevskii Journal of Mathematics 2005; Volum 17. ISSN 1995-0802.s 61 - 145.
  • Jakobsen, Per; Lychagin, Valentin. Universal Semigroups. Lobachevskii Journal of Mathematics 2005; Volum 18. ISSN 1995-0802.s 107 - 125.
  • Goldberg, VV; Lychagin, Valentin. On linearization of planar three-webs and Blaschke' conjecture. Comptes rendus. Mathematique 2005; Volum 341. ISSN 1631-073X.
  • Jakobsen, Per; Lychagin, Valentin. Relations and quantizations in the category of probabilistic bundles. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications 2004; Volum 82. ISSN 0167-8019.s 269 - 308.
  • Jakobsen, Per; Lychagin, Valentin. Operator valued probability theory. Lobachevskii Journal of Mathematics 2004; Volum 16. ISSN 1995-0802.s 17 - 56.
  • Kruglikov, Boris Serafimovich; Lychagin, Valentin. Transitive and transversal actions of pseudogroups on submanifolds. Izvestiia vysshikh uchebnykh zavedenii. Matematika 2004; Volum 10. ISSN 1066-369X.
  • Kruglikov, Boris Serafimovich; Lychagin, Valentin. A compatibility criterion for systems of PDEs and generalized Lagrange-Charpit method. (prosjekt) AIP Conference Proceedings 2004; Volum 729. ISSN 0094-243X.s 39 - 53.
  • Huru, Hilja Lisa; Lychagin, Valentin. Quantizations and classical non-commutative and non-associative algebras. Report - Institut Mittag-Leffler 2004; Volum 34. ISSN 1103-467X.
  • Lychagin, Valentin. linearizability of d-webs on 2-dimensional manifolds. Selecta Mathematica, New Series 2004 (4). ISSN 1022-1824.s 431 - 451.
  • Kruglikov, Boris Serafimovich; Lychagin, Valentin. Mayer brackets and solvability of PDEs. I. Differential geometry and its applications 2002; Volum 17 (2-3). ISSN 0926-2245.s 251 - 272.
  • Lychagin, Valentin. On quantum mechanic on manifolds. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications 1999; Volum 56. ISSN 0167-8019.s 231 - 251.
  • Kruglikov, Boris Serafimovich; Lychagin, Valentin. On equivalence of differential equations. Acta et Commentationes Universitatis Tartuensis de Mathematica 1999; Volum 3. ISSN 1406-2283.s 7 - 29.
  • Lychagin, Valentin; Prasolov, A.. Products and quantizations in K-theory. Proc. ICTP 1999.s 450 - 489.
  • Jakobsen, Per; Lychagin, Valentin. The theory of G-difference Equations. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications 1999; Volum 57. ISSN 0167-8019.s 165 - 204.
  • Lychagin, Valentin. Calculus and Quantizations over Hopt Algebras. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications 1998; Volum 51. ISSN 0167-8019.s 303 - 352.
  • Lychagin, Valentin. On Local Solvability and Spencer Conjecture for Differential Operator Complexes. Comptes rendus. Biologies 1997. ISSN 1631-0691.
  • Lychagin, Valentin. Color calculus and color quantizations. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications 1995; Volum 41. ISSN 0167-8019.s 193 - 226.
  • Lychagin, Valentin. Spencer cohomology and symmetry group. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications 1995; Volum 41. ISSN 0167-8019.s 227 - 245.
  • Lychagin, Valentin. Braided differential operators and quantizations in ABC-categories. Comptes rendus. Biologies 1994; Volum 318. ISSN 1631-0691.s 857 - 862.
  • Lychagin, Valentin. Singularities of Cauchy data, characteristics and integral cobordism. Differential geometry and its applications 1994; Volum 4. ISSN 0926-2245.s 283 - 300.
  • Lychagin, Valentin. A local classification of Monge-Ampere equations. Annales Scientifiques de l'Ecole Normale Supérieure 1993; Volum 26 (3). ISSN 0012-9593.s 281 - 308.
  • Kruglikov, Boris; Lychagin, Valentin; Straume, Eldar. Differential Equations: Geometry, Symmetries and Integrability. Springer Publishing Company 2009 ISBN 978-3-642-00872-6.s 75 - 106.
  • Krupka, Demeter; Saunders, David; Kruglikov, Boris; Lychagin, Valentin; et al, .... Handbook of global analysis. Elsevier 2008 ISBN 978-0-444-52833-9.
  • Lychagin, Valentin; Kushner, Alexei; Rubtsov, Vladimir. Contact geometry and nonelinear differential equations. Cambridge University Press 2007 ISBN 978-0-521-82476-7.
  • Lychagin, Valentin. The Interplay between differential geometry and differential equations. 1995.
  • Lychagin, Valentin. Lectures on geometry of differential equations-2. 1992.
  • Lychagin, Valentin. Lectures on differential equations-1. 1992.
  • Lychagin, Valentin. Geometry 1: Basic Ideas and concepts of differential geometry. 1991.
  • Lychagin, Valentin. Introduction into geometry of nonlinear differential equations. 1986.
  • Lychagin, Valentin. Geometry of jet-spaces and nonlinear differential geometry. 1986.
  • Lychagin, Valentin; Roop, Mikhail; Tychkov, Sergey; Gorinov, Anton. Gas Flow with Phase Transitions: Thermodynamics and the Navier–Stokes Equations. Springer Nature 2019 (1) ISBN 978-3-030-17030-1. ISSN 2522-0969.s 209 - 222.s doi: 10.1007/978-3-030-17031-8.
  • Lychagin, Valentin; Roubtsov, Vladimir. Monge–Ampère Grassmannians, Characteristic Classes and All That. Springer Nature 2019 (1) ISBN 978-3-030-17030-1. ISSN 2522-0969.s 233 - 257.s doi: 10.1007/978-3-030-17031-8.
  • Lychagin, Valentin; Kushner, Alexei; Slovak, Jan. Lectures on Geometry of Monge–Ampère Equations with Maple. Springer Nature 2019 (1) ISBN 978-3-030-17030-1. ISSN 2522-0969.s 53 - 94.s doi: 10.1007/978-3-030-17031-8.
  • Lychagin, Valentin. Contact Geometry, Measurement, and Thermodynamics. Springer Nature 2019 (1) ISBN 978-3-030-17030-1. ISSN 2522-0969.s 3 - 52.s doi: 10.1007/978-3-030-17031-8.
  • Huru, Hilja Lisa; Lychagin, Valentin. Quantizations of unitary representations of compact connected Lie groups. DIFFERENTIAL GEOMETRY, GEOMETRIC INVARIANTS, AND VISION THEORY 2015-04-23 - 2015-04-25 2015.
  • Huru, Hilja Lisa; Lychagin, Valentin. (Fun stuff with) Categorical Quantizations. Winter Geometrical School 2015-02-01 - 2015-02-07 2015.
  • Lychagin, Valentin. Conformal differential invariants in neurogeometry and image recognition. Winter Geometrical School 2014-02-07 - 2014-02-16 2014.
  • Lychagin, Valentin. Differential invariants. Summer school on Geometry Differential Equations 2014-09-08 - 2014-09-12 2014.
  • Lychagin, Valentin. Differential Invariants and their applications. Workshop on Global analysis 2014-08-25 - 2014-08-29 2014.
  • Huru, Hilja Lisa; Lychagin, Valentin. On quantizations of finite and compact group actions. Delta-Geometry 2014-05-01 - 2014-05-09 2014.
  • Lychagin, Valentin; Konovenko, Nadiia. Differential invariants in image recognition. XV INTERNATIONAL SCIENTIFIC MYKHAILO KRAVCHUK CONFERENCE 2014-05-15 - 2014-05-17 2014.
  • Lychagin, Valentin; Konovenko, Nadiia. LObachevsky Geometry in Image Recognition. Workshop on Delta-Geometry 2014-05-02 - 2014-05-09 2014.
  • Lychagin, Valentin; Huru, Hilja Lisa. Om quantizations of finte and compact group actions. Amega and ECI workshop 2014-04-11 - 2014-04-13 2014.
  • Lychagin, Valentin. Two faces of sl_2. AmeGA workshop on neurogeometry 2014-04-02 - 2014-04-06 2014.
  • Lychagin, Valentin. Applications of differential invariants to classical algebraic problems. Workshop on Geometry of PDEs and Integrability 2013-10-14 - 2013-10-18 2013.
  • Lychagin, Valentin; Konovenko, Nadiia. Studies of shape space by projective differential invariants. Differential geometry and application 2013-08-19 - 2013-08-23 2013.
  • Lychagin, Valentin. Differential invariants algebras of Lie pseudo groups actions and their applications. Differential geometry and applications 2013-08-19 - 2013-08-23 2013.
  • Lychagin, Valentin. Differential invariants and their application. Conference on nonlinear mathematical physics 2013-06-04 - 2013-06-14 2013.
  • Lychagin, Valentin; Huru, Hilja Lisa. Quantization of representations of compact connected Lie groups and applications to Hilbert-Schmidt operators. Sophus Lie seminar 2013-11-08 - 2013-11-08 2013.
  • Huru, Hilja Lisa; Lychagin, Valentin. A Summary of Quantizations of Group Actions. PDEs-2013 - Pseudogroups and Differential Equations 2013-03-13 - 2013-03-16 2013.
  • Lychagin, Valentin; Yumaguzhin, Valeriy. Metrics on solutions of short-wave equation. Modeling and Mechanics 2012-10-22 - 2012-10-27 2012.
  • Lychagin, Valentin. Conformal differential invariants in electromagnetism and neurogeometry. Geometry. Invariants. Control. 2012-12-17 - 2012-12-21 2012.
  • Lychagin, Valentin. Conformal differential invariants in neurogeometry. Workshop on neurogeometry in Telc 2012-11-15 - 2012-11-17 2012.
  • Lychagin, Valentin. On equivalence problems. Geometria de ecuaciones differenciales 2012-10-01 - 2012-10-05 2012.
  • Lychagin, Valentin. Geometrical constructions and Galois theory. Mathematical summer school 2012-07-15 - 2012-07-25 2012.
  • Lychagin, Valentin. From Monge-Ampere equations to Spencer cohomology. Geometry, Integrability, Quantization 2012-07-09 - 2012-07-12 2012.
  • Lychagin, Valentin; Yumaguzhin, V. A.. The Cauchy problem for the Einstein equation. Cohomological uniqueness of formal solutions. Geometry and Algebra of PDEs 2012-08-27 - 2012-08-31 2012.
  • Lychagin, Valentin; Huru, Hilja Lisa. Non-commutative Galois extensions. Geometry and Algebra of PDEs 2012-08-27 - 2012-08-31 2012.
  • Lychagin, Valentin; Kushner, Alexei. Feedback Classification of Hamiltonian Systems. Geometry and Algebra of PDEs 2012-08-27 - 2012-08-31 2012.
  • Lychagin, Valentin; Bibikov, Pavel. Differential invariants and classification of linear actions on homogeneous forms. Geometry and Algebra of PDEs 2012-08-27 - 2012-08-31 2012.
  • Huru, Hilja Lisa; Lychagin, Valentin. Quantizations of representations of symmetric groups. QTS7 2011-08-08 - 2011-08-12 2011.
  • Lychagin, Valentin; Yumaguzhin, V.A.. On Cauchy problem for the Einstein Equation. Conference Geometry.Control.Economics 2011-08-15 - 2011-08-26 2011.
  • Lychagin, Valentin; Kushner, Alexei. Petrov invariants of Hamiltonian systems. Conference Geometry.Control.Economics 2011-08-15 - 2011-08-26 2011.
  • Lychagin, Valentin; Bibikov, Pavel. Differential invariants of affine group actions. Conference Geometry.Control.Economics 2011-08-15 - 2011-08-26 2011.
  • Huru, Hilja Lisa; Lychagin, Valentin. Quantizers and symmetric groups. Journee Non-commutative Franco-Norvegienne 2011-11-08 - 2011-11-08 2011.
  • Lychagin, Valentin. Cohomology with coefficents in sheaves of PDEs solutions (Spencer cohomology). plenary lecture 2010-02-22 - 2010-02-28 2010.
  • Kruglikov, Boris; Lychagin, Valentin; Alexander, Verbovetsky. Joseph Krasil'shchik-Dedication. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications 2010; Volum 109 (1). ISSN 0167-8019.s 1 - 3.s doi: 10.1007/s10440-009-9453-1.
  • Lychagin, Valentin; Yumaguzhin, V. A.. Geometric structures on PDEs solutions. International Geom. Conference 2009-08-25 - 2009-08-29 2009.
  • Lychagin, Valentin; Kushner, A. G.. Geometry of shock waves. International Geom. Conference 2009-08-25 - 2009-08-29 2009.
  • Lychagin, Valentin; Yumaguzhin, V. A.. Geometric structures on solutions of mathematical physics. International Geom. Conference in Odessa 2009-05-25 - 2009-05-30 2009.
  • Lychagin, Valentin; Goldberg, Vladislav. Projective and affine structures associated with geodesics webs of hypersurfaces. International Geom. Conference in Odessa 2009-05-25 - 2009-05-30 2009.
  • Lychagin, Valentin. On feedback invariance of Hamiltonian systems. 25th Nordic and 1st British-Nordic congress of Mathematicians 2009-06-08 - 2009-06-11 2009.
  • Lychagin, Valentin; Goldberg, Vladislav. Geodesic Planar Webs and Euler Equations. International Geom. Conference in Odessa 2008-05-19 - 2008-05-24 2008.
  • Lychagin, Valentin. Differential invariants for control systems. International Geom. Conference in Odessa 2008-05-19 - 2008-05-24 2008.
  • Lychagin, Valentin. Various approaches for compatibility of PDEs systems. Åbo Akademi 2007-02-20 - 2007-02-23 2007.
  • Lychagin, Valentin; Kruglikov, Boris Serafimovich. Multi-brackets of differential operators and compatibility. University of Joensuu 2006-04-02 - 2006-04-09 2006.
  • Lychagin, Valentin; Goldberg, Vladislav. Abelian Equations and Rank Problems for Planar Webs. 2006.
  • Lychagin, Valentin; Kruglikov, Boris Serafimovich. Compatibility, multi-brackets and integrability of systems of PDEs. 2006.
  • Lychagin, Valentin; Kruglikov, Boris Serafimovich. Dimension of the solutions space of PDEs. 2006.
  • Lychagin, Valentin. Compatibility of PDEs via multibrackets. University of Madrid 2006-08-31 - 2006-09-02 2006.
  • Lychagin, Valentin. PDEs compatibility via multibrackets. Cockcroft Institute 2006-10-31 - 2006-11-04 2006.
  • Lychagin, Valentin; Goldberg, Vladislav. Planar webs of maximal rank. University of Tromso 2006-05-23 - 2006-05-29 2006.
  • Lychagin, Valentin; Goldberg, Vladislav. Abelian equations and differential invariants of webs. University of Joensuu 2006-04-02 - 2006-04-09 2006.
  • Lychagin, Valentin. Linearizability criterion for 3-webs in the plane and Blaschke's conjecture. Dofferential Geometry and Applications 2005-05-23 - 2005-05-29 2005.
  • Lychagin, Valentin; Kruglikov, Boris Serafimovich. Spencer delta-cohomology, restrictions, characteristics and involutive symbolic PDEs. 2005.
  • Lychagin, Valentin. The Blaschke problem of linearizability of d-webs, for d>3. Differential Geometry and Applications 2004-05-17 - 2004-05-29 2004.
  • Lychagin, Valentin. On the Blaschke conjecture for 3-webs. 2004.
  • Lychagin, Valentin. Geometrical and analytical methods forPDEs solution. International workshop on global analysis 2004-04-15 - 2004-04-17 2004.
  • Lychagin, Valentin. Mayer brackets and PDEs solvability. Differential geometry and Applications 2004-05-17 - 2004-05-29 2004.
  • Lychagin, Valentin. Linearizability criterion for d-web in the plane with applications. Kolmogorov and contemporary mathematics 2003-06-16 - 2003-06-21 2003.
  • Lychagin, Valentin. Linearizability of d-webs, d>=4, on two-dimensional manifolds. 2002.
  • Lychagin, Valentin; Kruglikov, Boris Serafimovich. Mayer brackets and PDEs solvability. 2001.
  • Prasolov, Andrei; Lychagin, Valentin. Products and quantizations in K-theory of braiding-commutative algebras. 1999 ISBN 981-02-3491-0.s 450 - 488.
  • Lychagin, Valentin; Kruglikov, Boris Serafimovich. On equivalence of differential equations. 1999.
  • Prasalov, A.; Lychagin, Valentin. Products and quantigations in K-theory of braiding- commutative algebras. Ukjent 1999-01-01 - 1999.
  • Prasolov, Andrei; Lychagin, Valentin. Products and quantizations in K-theory of braiding-commutative algrebras. 1998; Volum 98 (31).
  • Jakobsen, Per; Romanovsky, Y.; Lychagin, Valentin. Symmetries and Nonlinear Phenomena 2. Applications to Non-linear Acoustics. 1998.
  • Lychagin, Valentin; Prasolov, A.. Products and quantizations in K-theory of Braiding commentative algebras. 1998; Volum 98 (31).
  • Lychagin, Valentin; Prasolov, A.. Products and Quantizations in K-theory. Trieste Conference 1998-01-01 - 1997.
  • Lychagin, Valentin. Symmetries and Non-Linear Phenomena. 1997 (0).
  • Lychagin, Valentin. The Theory of Linear G-Difference Equations. 1997 (0).
  • Lychagin, Valentin; Jakobsen, Per. Symmetry and nonlinear phenomena, I. 1997.
  • Lychagin, Valentin. What do we need to build up quantum mechanics on mechanics?. 1996.
  • Lychagin, Valentin. Color calculus and color quantizations. 1995.
  • Lychagin, Valentin. A realization of spinors in the Minkowski space. 1995.
  • Lychagin, Valentin. Calculus and quantizations over Hopf algebras. 1994.
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