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Lychagin, Valentin V.

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 Author ID: lychagin.valentin-v Published as: Lychagin, V. V.; Lychagin, Valentin; Lychagin, Valentin V.; Lychagin, V. External Links: ORCID
 Documents Indexed: 163 Publications since 1975, including 5 Books Biographic References: 3 Publications
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Co-Authors

 34 single-authored 15 Kruglikov, Boris S. 14 Yumaguzhin, Valeriy A. 13 Tychkov, Sergey N. 12 Duyunova, Anna Andreevna 11 Kushner, Alexei G. 10 Goldberg, Vladislav V. 10 Konovenko, Nadiya G. 10 Zilbergleit, Lev V. 9 Bibikov, Pavel Vitalievich 9 Rubtsov, Vladimir Nikolaevich 7 Jakobsen, Per Kristen 7 Roop, Mikhail D. 5 Akhmetzyanov, Atlas V. 4 Huru, Hilja Lisa 4 Krasil’shchik, Iosif Semënovich 4 Vinogradov, Aleksandr Mikhaĭlovich 2 Gurevich, Dmitrii 2 Verbovetsky, Alexander Moiseevich 1 Akhmetzianov, A. V. 1 Akivis, Maks A. 1 Alekseev, D. V. 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 Astashov, A. M. 1 Astashova, Irina Viktorovna 1 Bocharov, Alexei V. 1 Bukhshtaber, Viktor Matveevich 1 Chekalov, Igor V. 1 Chetverikov, Vladimir N. 1 Duzhin, Sergeĭ Vasil’evich 1 Fomenko, Anatoliĭ Timofeevich 1 Fuchs, Dmitry Borisovich 1 Gorinov, Anton A. 1 Helemskii, Alexander Ya. 1 Kac, Victor G. 1 Khor’kova, Nina Grigor’evna 1 Kirichenko, Vadim Fëdorovich 1 Kononenko, N. G. 1 Kosmann-Schwarzbach, Yvette 1 Krichever, Igor’ Moiseevich 1 Krishchenko, Alexander P. 1 Lando, Sergei K. 1 Lychagina, Olga 1 Marvan, Michal 1 Maslov, Viktor Pavlovich 1 Mishchenko, Aleksandr Sergeevich 1 Novikov, Sergeĭ Petrovich 1 Prasolov, Andrei V. 1 Prástaro, Agostino 1 Romanovskij, Yu. R. 1 Roubtsov, Volodya 1 Samokhin, Alexey V. 1 Schwarz, Albert S. 1 Shelekhov, Alexander M. 1 Slovák, Jan 1 Sosinskiĭ, Alekseĭ Bronislavovich 1 Stasheff, James D. 1 Sternin, Boris Yur’evich 1 Straume, Eldar J. 1 Vasil’ev, Viktor Anatol’evich 1 Vershik, Anatoliĭ Moiseevich 1 Veselov, Alexander Petrovich 1 Vinogradov, Michael M. 1 Vitagliano, Luca 1 Vitolo, Raffaele F. 1 Voronov, Theodore
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Serials

 19 Journal of Geometry and Physics 18 Lobachevskii Journal of Mathematics 14 Acta Applicandae Mathematicae 12 Doklady Mathematics 9 Analysis and Mathematical Physics 6 Soviet Mathematics. Doklady 5 Mathematical Notes 5 Russian Mathematics 4 Russian Mathematical Surveys 4 Differential Geometry and its Applications 3 Automation and Remote Control 3 Journal of Generalized Lie Theory and Applications 3 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Mathematics of the USSR, Sbornik 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Selecta Mathematica. New Series 2 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Global and Stochastic Analysis 1 Doklady Akademii Nauk BSSR 1 Matematicheskie Zametki 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Soviet Mathematics 1 Mathematics of the USSR. Izvestiya 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Soviet Mathematics 1 The Journal of Geometric Analysis 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Russian Academy of Sciences. Doklady. Mathematics 1 Nonlinear Dynamics 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 International Journal of Geometric Methods in Modern Physics 1 Kibernetika i Vychislitel’naya Tekhnika 1 Encyclopedia of Mathematics and Its Applications 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Abel Symposia 1 Uchenye Zapiski Kazanskogo Gosudarstvennogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Matematychnyĭ Visnyk Naukovogo Tovarystva Im. Shevchenka 1 Journal of Geometric Mechanics 1 Translations. Series 2. American Mathematical Society
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Fields

 75 Global analysis, analysis on manifolds (58-XX) 74 Partial differential equations (35-XX) 69 Differential geometry (53-XX) 25 Fluid mechanics (76-XX) 15 Category theory; homological algebra (18-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Nonassociative rings and algebras (17-XX) 8 Ordinary differential equations (34-XX) 8 Relativity and gravitational theory (83-XX) 7 Algebraic topology (55-XX) 7 Quantum theory (81-XX) 6 Associative rings and algebras (16-XX) 6 Topological groups, Lie groups (22-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Systems theory; control (93-XX) 4 Commutative algebra (13-XX) 4 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Group theory and generalizations (20-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 $$K$$-theory (19-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH Open

106 Publications have been cited 773 times in 415 Documents Cited by Year
Geometry of jet spaces and nonlinear partial differential equations. Transl. from the Russian by A. B. Sosinskij. Zbl 0722.35001
Krasil’shchik, I. S.; Lychagin, V. V.; Vinogradov, A. M.
1986
Contact geometry and nonlinear differential equations. Zbl 1122.53044
Kushner, Alexei; Lychagin, Valentin; Rubtsov, Vladimir
2007
Global Lie-Tresse theorem. Zbl 1347.53015
Kruglikov, Boris; Lychagin, Valentin
2016
Geometry of differential equations. Zbl 1236.58039
Kruglikov, Boris; Lychagin, Valentin
2008
Contact geometry and non-linear second-order differential equations. Zbl 0427.58002
Lychagin, V. V.
1979
Introduction to the geometry of nonlinear differential equations. (Vvedenie v geometriyu nelinejnykh differentsial’nykh uravnenij). Zbl 0592.35002
Vinogradov, A. M.; Krasil’shchik, I. S.; Lychagin, V. V.
1986
A classification of Monge-Ampère equations. Zbl 0789.58078
Lychagin, V. V.; Rubtsov, V. N.; Chekalov, I. V.
1993
Invariants of pseudogroup actions: homological methods and finiteness theorem. Zbl 1125.53011
Kruglikov, Boris; Lychagin, Valentin
2006
Basic ideas and concepts of differential geometry. Zbl 0735.53001
Alekseev, D. V.; Vinogradov, A. M.; Lychagin, V. V.
1988
Singularities of multivalued solutions of nonlinear differential equations, and nonlinear phenomena. Zbl 0562.35008
Lychagin, V. V.
1985
Mayer brackets and solvability of PDEs. I. Zbl 1026.35004
Kruglikov, Boris; Lychagin, Valentin
2002
Basic ideas and notions from differential geometry. Zbl 0675.53001
Alekseevskij, D. V.; Vinogradov, A. M.; Lychagin, V. V.
1988
$$\mathrm{GL}_2(\mathbb C)$$-orbits of binary rational forms. Zbl 1258.13011
Bibikov, P.; Lychagin, V.
2011
Mayer brackets and solvability of PDEs. II. Zbl 1093.35053
Kruglikov, Boris; Lychagin, Valentin
2006
Singularities of Cauchy data, characteristics, cocharacteristics and integral cobordism. Zbl 0808.58039
Lychagin, V.; Prástaro, A.
1994
Feedback differential invariants. Zbl 1189.93035
Lychagin, Valentin
2010
Symmetries of distributions and quadrature of ordinary differential equations. Zbl 0739.34001
Duzhin, S. V.; Lychagin, V. V.
1991
On the Blaschke conjecture for 3-webs. Zbl 1104.53011
Goldberg, Vladislav V.; Lychagin, Valentin V.
2006
Colour calculus and colour quantizations. Zbl 0846.18006
Lychagin, V.
1995
Geometric theory of singularities of solutions of nonlinear differential equations. Zbl 1267.35056
Lychagin, V. V.
1990
On Sophus Lie’s theorems for the Monge-Ampère equations. Zbl 0526.58002
Lychagin, V. V.; Rubtsov, V. N.
1983
Homogeneous geometric structures and homogeneous differential equations. Zbl 0843.58002
Lychagin, V.
1995
Classification of linear actions of algebraic groups on spaces of homogeneous forms. Zbl 1242.53013
Bibikov, P. V.; Lychagin, V. V.
2012
Linearizability of $$d$$-webs, $$d \geq 4$$, on two-dimensional manifolds. Zbl 1073.53021
Akivis, Maks A.; Goldberg, Vladislav V.; Lychagin, Valentin V.
2004
On sufficient orbits of a group of contact diffeomorphisms. Zbl 0412.58019
Lychagin, V. V.
1977
Invariants in relativity theory. Zbl 1332.83034
Lychagin, V.; Yumaguzhin, V.
2015
Finite-dimensional dynamics for evolutionary equations. Zbl 1181.35244
Lychagin, Valentin; Lychagina, Olga
2007
Calculus and quantizations over Hopf algebras. Zbl 0914.18007
Lychagin, V.
1998
Projective classification of binary and ternary forms. Zbl 1230.22011
Bibikov, Pavel; Lychagin, Valentin
2011
Classification of equations of state for viscous fluids. Zbl 1375.35370
Duyunova, A. A.; Lychagin, V. V.; Tychkov, S. N.
2017
Geometric singularities of solutions of nonlinear differential equations. Zbl 0546.35014
Lychagin, V. V.
1981
The geometry and topology of shock waves. Zbl 0549.58015
Lychagin, V. V.
1982
Braided differential operators and quantizations in $$ABC$$-categories. Zbl 0803.18005
Lychagin, Valentin
1994
On differential invariants of actions of semisimple Lie groups. Zbl 1298.22011
Bibikov, Pavel; Lychagin, Valentin
2014
$$GL_{3}(\mathbb C)$$-orbits of ternary rational forms. Zbl 1237.53011
Bibikov, P. V.; Lychagin, V. V.
2011
Dimension of the solutions space of PDEs. Zbl 1200.35194
Kruglikov, Boris; Lychagin, Valentin
2006
Contact geometry, measurement, and thermodynamics. Zbl 1428.53111
Lychagin, Valentin V.
2019
Quantum mechanics on manifolds. Zbl 0930.35149
Lychagin, V.
1999
Quantizations of differential equations. Zbl 1042.18500
Lychagin, Valentin
2001
Classification of the second order linear differential operators and differential equations. Zbl 1394.35017
Lychagin, Valentin; Yumaguzhin, Valeriy
2018
Feedback equivalence of 1-dimensional control systems of the 1-st order. Zbl 1199.53033
Lychagin, V. V.
2009
Compatibility, multi-brackets and integrability of systems of PDEs. Zbl 1191.35187
Kruglikov, Boris; Lychagin, Valentin
2010
Attractors in models of porous media flow. Zbl 1368.35038
Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V.
2017
Differential invariants for plane flows of viscid fluids. Zbl 1373.37184
Duyunova, A.; Lychagin, Valentin; Tychkov, Sergey
2017
Petrov invariants for 1-D control Hamiltonian systems. Zbl 1296.37046
Kushner, Alexei G.; Lychagin, Valentin V.
2012
Differential contra algebraic invariants: applications to classical algebraic problems. Zbl 1339.22011
Bibikov, P.; Lychagin, Valentin
2016
Singularities of solutions, spectral sequences and normal forms of Lie algebras of vector fields. Zbl 0643.58039
Lychagin, V. V.
1987
Local classification of Monge-Ampère differential equations. Zbl 0555.35016
Lychagin, V. V.; Rubtsov, V. N.
1983
On equivalence of differential equations. Zbl 1122.35302
Kruglikov, Boris; Lychagin, Valentin
1999
Multi-brackets of differential operators and compatibility of PDE systems. Zbl 1096.35094
Kruglikov, Boris; Lychagin, Valentin
2006
Petrov invariants of Hamiltonian systems with a control parameter. Zbl 1282.93080
Kushner, A. G.; Lychagin, V. V.
2013
On linearization of planar three-webs and Blaschke’s conjecture. Zbl 1102.53051
Goldberg, Vladislav V.; Lychagin, Valentin V.
2005
$$\text{GL}_{2}(\mathbb C)$$-orbits of binary forms. Zbl 1215.13005
Bibikov, P. V.; Lychagin, V. V.
2010
Control of displacement front in a model of immiscible two-phase flow in porous media. Zbl 1349.76801
Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V.
2016
Critical phenomena in filtration processes of real gases. Zbl 1453.80004
Lychagin, V. V.; Roop, M. D.
2020
On equivalence of third order linear differential operators on two-dimensional manifolds. Zbl 1428.58027
Lychagin, Valentin; Yumaguzhin, Valeriy
2019
On structure of linear differential operators, acting on line bundles. Zbl 07174298
Lychagin, Valentin; Yumaguzhin, Valeriy
2020
Spencer cohomology of invariant systems of differential equations on homogeneous spaces. Zbl 0818.58051
Zil’berglejt, L. V.; Lychagin, V. V.
1993
Spencer $$\delta$$-cohomology, restrictions, characteristics and involutive symbolic PDEs. Zbl 1109.35366
Kruglikov, Boris; Lychagin, Valentin
2007
Cohomological uniqueness of the Cauchy problem solutions for the Einstein equation. Zbl 1245.83003
Lychagin, Valentin; Yumaguzhin, Valeriy
2012
On geometric structures of 2-dimensional gas dynamics equations. Zbl 1225.35010
Lychagin, V.; Yumaguzhin, V.
2009
Quantizations of group actions. Zbl 1256.81067
Huru, Hilja L.; Lychagin, Valentin V.
2012
A compatibility criterion for systems of PDEs and generalized Lagrange-Charpit method. Zbl 1121.58004
Kruglikov, Boris; Lychagin, Valentin
2004
Gas flow with phase transitions: thermodynamics and the Navier-Stokes equations. Zbl 1428.35290
Gorinov, Anton A.; Lychagin, Valentin V.; Roop, Mikhail D.; Tychkov, Sergey N.
2019
Phase transitions in filtration of Redlich-Kwong gases. Zbl 1420.35253
Lychagin, Valentin; Roop, Mikhail
2019
Singularities of solutions, spectral sequences, and normal forms of Lie algebras of vector fields. Zbl 0675.58044
Lychagin, V. V.
1988
Non-holonomic filtration: Algebraic and geometric aspects of non-integrability. Zbl 0889.58071
1994
Quantizations and classical non-commutative non-associative algebras. Zbl 1188.17012
Huru, Hilja Lisa; Lychagin, Valentin
2008
Differential invariants and exact solutions of the Einstein-Maxwell equation. Zbl 1364.83006
Lychagin, Valentin; Yumaguzhin, Valeriy
2017
Real gas flows issued from a source. Zbl 1428.76185
Lychagin, Valentin; Roop, Mikhail
2020
Characteristic classes of solutions of differential equations. Zbl 0541.58006
Lychagin, V. V.
1983
On projective classification of plane curves. Zbl 1296.53031
2011
Differential invariants for flows of viscid fluids. Zbl 1394.76038
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey
2017
Invariants of projective actions and their application to recognition of fingerprints. Zbl 1342.58007
2016
Mass and heat transport in the two-phase Buckley-Leverett model. Zbl 1360.80006
Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin V.
2017
Differential operators on fiber spaces. Zbl 0555.58029
Lychagin, V. V.
1985
On the singularities of solutions of differential equations. Zbl 0475.58026
Lychagin, V. V.
1980
On the Cauchy problem for the Einstein equation. Zbl 1260.35228
Lychagin, V. V.; Yumaguzhin, V. A.
2012
Geodesic webs on a two-dimensional manifold and Euler equations. Zbl 1207.53014
Goldberg, Vladislav V.; Lychagin, Valentin V.
2010
Geometric theory of special modes in the distributed-parameter control systems. Zbl 1297.93051
Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, V. V.
2013
On geometrical structures, associated with linear differential operators of the 1st order. Zbl 07264819
Lychagin, Valentin
2020
Nonholonomic intermediate integrals of partial differential equations. Zbl 0788.35093
Lychagin, V. V.; Romanovskij, Yu. R.
1990
Solvability of Fuchsian equations depending on a parameter. Zbl 0778.34005
Lychagin, V. V.
1991
Homogeneous structures on manifolds: Differential geometry from the point of view of differential equations. Zbl 0801.58043
Lychagin, V. V.
1992
Lobachevskian geometry in image recognition. Zbl 1332.53017
Konovenko, N.; Lychagin, V.
2015
On abelian group actions and Galois quantizations. Zbl 1283.53080
Huru, H. L.; Lychagin, V. V.
2013
On projective classification of algebraic curves. Zbl 1289.53022
2013
Möbius invariants in image recognition. Zbl 1365.53014
2017
Differential invariants and exact solutions of the Einstein equations. Zbl 1371.35290
Lychagin, Valentin; Yumaguzhin, Valeriy
2017
Abelian equations and rank problems for planar webs. Zbl 1298.53016
Goldberg, V. V.; Lychagin, V. V.
2007
Differential equations on two-dimensional manifolds. Zbl 0899.58062
Lychagin, V. V.
1992
Topological aspects of geometrical theory of differential equations. Zbl 0603.58057
Lychagin, V. V.
1986
Topological aspects of the geometric theory of differential equations. Zbl 0583.58030
Lychagin, V. V.
1985
Differential invariants for spherical flows of inviscid fluid. Zbl 1397.37094
Duyunova, A. A.; Lychagin, V. V.; Tychkov, S. N.
2018
Differential invariants for spherical flows of a viscid fluid. Zbl 1388.53014
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey
2018
Maximum entropy wave functions. Zbl 1111.82025
Jakobsen, Per K.; Lychagin, Valentin V.
2006
Geodesic webs of hypersurfaces. Zbl 1183.53013
Goldberg, V. V.; Lychagin, V. V.
2009
Differential equations – Geometry, symmetries and integrability. The Abel symposium 2008. Proceedings of the fifth Abel symposium, Tromsø, Norway, June 17–22, 2008. Zbl 1170.34002
Kruglikov, Boris (ed.); Lychagin, Valentin (ed.); Straume, Eldar (ed.)
2009
Samuelson’s webs. Zbl 1202.53020
Gol’dberg, V. V.; Lychagin, V. V.
2010
Differential invariants for spherical layer flows of viscid fluids. Zbl 1472.53020
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey
2018
Symmetry classification of viscid flows on space curves. Zbl 1456.53079
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey
2021
Critical phenomena in filtration processes of real gases. Zbl 1453.80004
Lychagin, V. V.; Roop, M. D.
2020
On structure of linear differential operators, acting on line bundles. Zbl 07174298
Lychagin, Valentin; Yumaguzhin, Valeriy
2020
Real gas flows issued from a source. Zbl 1428.76185
Lychagin, Valentin; Roop, Mikhail
2020
On geometrical structures, associated with linear differential operators of the 1st order. Zbl 07264819
Lychagin, Valentin
2020
Symmetries and differential invariants for inviscid flows on a curve. Zbl 07309043
Duyunova, A.; Lychagin, V.; Tychkov, S.
2020
Shock waves in Euler flows of gases. Zbl 1458.35316
Lychagin, V. V.; Roop, M. D.
2020
Contact geometry, measurement, and thermodynamics. Zbl 1428.53111
Lychagin, Valentin V.
2019
On equivalence of third order linear differential operators on two-dimensional manifolds. Zbl 1428.58027
Lychagin, Valentin; Yumaguzhin, Valeriy
2019
Gas flow with phase transitions: thermodynamics and the Navier-Stokes equations. Zbl 1428.35290
Gorinov, Anton A.; Lychagin, Valentin V.; Roop, Mikhail D.; Tychkov, Sergey N.
2019
Phase transitions in filtration of Redlich-Kwong gases. Zbl 1420.35253
Lychagin, Valentin; Roop, Mikhail
2019
Classification of the second order linear differential operators and differential equations. Zbl 1394.35017
Lychagin, Valentin; Yumaguzhin, Valeriy
2018
Differential invariants for spherical flows of inviscid fluid. Zbl 1397.37094
Duyunova, A. A.; Lychagin, V. V.; Tychkov, S. N.
2018
Differential invariants for spherical flows of a viscid fluid. Zbl 1388.53014
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey
2018
Differential invariants for spherical layer flows of viscid fluids. Zbl 1472.53020
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey
2018
Classification of equations of state for viscous fluids. Zbl 1375.35370
Duyunova, A. A.; Lychagin, V. V.; Tychkov, S. N.
2017
Attractors in models of porous media flow. Zbl 1368.35038
Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V.
2017
Differential invariants for plane flows of viscid fluids. Zbl 1373.37184
Duyunova, A.; Lychagin, Valentin; Tychkov, Sergey
2017
Differential invariants and exact solutions of the Einstein-Maxwell equation. Zbl 1364.83006
Lychagin, Valentin; Yumaguzhin, Valeriy
2017
Differential invariants for flows of viscid fluids. Zbl 1394.76038
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey
2017
Mass and heat transport in the two-phase Buckley-Leverett model. Zbl 1360.80006
Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin V.
2017
Möbius invariants in image recognition. Zbl 1365.53014
2017
Differential invariants and exact solutions of the Einstein equations. Zbl 1371.35290
Lychagin, Valentin; Yumaguzhin, Valeriy
2017
Global Lie-Tresse theorem. Zbl 1347.53015
Kruglikov, Boris; Lychagin, Valentin
2016
Differential contra algebraic invariants: applications to classical algebraic problems. Zbl 1339.22011
Bibikov, P.; Lychagin, Valentin
2016
Control of displacement front in a model of immiscible two-phase flow in porous media. Zbl 1349.76801
Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V.
2016
Invariants of projective actions and their application to recognition of fingerprints. Zbl 1342.58007
2016
Invariants in relativity theory. Zbl 1332.83034
Lychagin, V.; Yumaguzhin, V.
2015
Lobachevskian geometry in image recognition. Zbl 1332.53017
Konovenko, N.; Lychagin, V.
2015
On differential invariants of actions of semisimple Lie groups. Zbl 1298.22011
Bibikov, Pavel; Lychagin, Valentin
2014
Petrov invariants of Hamiltonian systems with a control parameter. Zbl 1282.93080
Kushner, A. G.; Lychagin, V. V.
2013
Geometric theory of special modes in the distributed-parameter control systems. Zbl 1297.93051
Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, V. V.
2013
On abelian group actions and Galois quantizations. Zbl 1283.53080
Huru, H. L.; Lychagin, V. V.
2013
On projective classification of algebraic curves. Zbl 1289.53022
2013
Classification of linear actions of algebraic groups on spaces of homogeneous forms. Zbl 1242.53013
Bibikov, P. V.; Lychagin, V. V.
2012
Petrov invariants for 1-D control Hamiltonian systems. Zbl 1296.37046
Kushner, Alexei G.; Lychagin, Valentin V.
2012
Cohomological uniqueness of the Cauchy problem solutions for the Einstein equation. Zbl 1245.83003
Lychagin, Valentin; Yumaguzhin, Valeriy
2012
Quantizations of group actions. Zbl 1256.81067
Huru, Hilja L.; Lychagin, Valentin V.
2012
On the Cauchy problem for the Einstein equation. Zbl 1260.35228
Lychagin, V. V.; Yumaguzhin, V. A.
2012
$$\mathrm{GL}_2(\mathbb C)$$-orbits of binary rational forms. Zbl 1258.13011
Bibikov, P.; Lychagin, V.
2011
Projective classification of binary and ternary forms. Zbl 1230.22011
Bibikov, Pavel; Lychagin, Valentin
2011
$$GL_{3}(\mathbb C)$$-orbits of ternary rational forms. Zbl 1237.53011
Bibikov, P. V.; Lychagin, V. V.
2011
On projective classification of plane curves. Zbl 1296.53031
2011
Feedback differential invariants. Zbl 1189.93035
Lychagin, Valentin
2010
Compatibility, multi-brackets and integrability of systems of PDEs. Zbl 1191.35187
Kruglikov, Boris; Lychagin, Valentin
2010
$$\text{GL}_{2}(\mathbb C)$$-orbits of binary forms. Zbl 1215.13005
Bibikov, P. V.; Lychagin, V. V.
2010
Geodesic webs on a two-dimensional manifold and Euler equations. Zbl 1207.53014
Goldberg, Vladislav V.; Lychagin, Valentin V.
2010
Samuelson’s webs. Zbl 1202.53020
Gol&rsquo;dberg, V. V.; Lychagin, V. V.
2010
On conformal equivalence of functions. Zbl 1240.53022
Lychagin, V. V.; Konovenko, N. G.
2010
Feedback equivalence of 1-dimensional control systems of the 1-st order. Zbl 1199.53033
Lychagin, V. V.
2009
On geometric structures of 2-dimensional gas dynamics equations. Zbl 1225.35010
Lychagin, V.; Yumaguzhin, V.
2009
Geodesic webs of hypersurfaces. Zbl 1183.53013
Goldberg, V. V.; Lychagin, V. V.
2009
Differential equations – Geometry, symmetries and integrability. The Abel symposium 2008. Proceedings of the fifth Abel symposium, Tromsø, Norway, June 17–22, 2008. Zbl 1170.34002
Kruglikov, Boris; Lychagin, Valentin; Straume, Eldar
2009
Minkowski metrics on solutions of the Khokhlov-Zabolotskaya equation. Zbl 1225.35011
Lychagin, V.; Yumaguzhin, V.
2009
On rank problems for planar webs and projective structures. Zbl 1186.53017
Goldberg, Vladislav V.; Lychagin, Valentin V.
2009
Geometry of differential equations. Zbl 1236.58039
Kruglikov, Boris; Lychagin, Valentin
2008
Quantizations and classical non-commutative non-associative algebras. Zbl 1188.17012
Huru, Hilja Lisa; Lychagin, Valentin
2008
Contact geometry and nonlinear differential equations. Zbl 1122.53044
Kushner, Alexei; Lychagin, Valentin; Rubtsov, Vladimir
2007
Finite-dimensional dynamics for evolutionary equations. Zbl 1181.35244
Lychagin, Valentin; Lychagina, Olga
2007
Spencer $$\delta$$-cohomology, restrictions, characteristics and involutive symbolic PDEs. Zbl 1109.35366
Kruglikov, Boris; Lychagin, Valentin
2007
Abelian equations and rank problems for planar webs. Zbl 1298.53016
Goldberg, V. V.; Lychagin, V. V.
2007
Invariants of pseudogroup actions: homological methods and finiteness theorem. Zbl 1125.53011
Kruglikov, Boris; Lychagin, Valentin
2006
Mayer brackets and solvability of PDEs. II. Zbl 1093.35053
Kruglikov, Boris; Lychagin, Valentin
2006
On the Blaschke conjecture for 3-webs. Zbl 1104.53011
Goldberg, Vladislav V.; Lychagin, Valentin V.
2006
Dimension of the solutions space of PDEs. Zbl 1200.35194
Kruglikov, Boris; Lychagin, Valentin
2006
Multi-brackets of differential operators and compatibility of PDE systems. Zbl 1096.35094
Kruglikov, Boris; Lychagin, Valentin
2006
Maximum entropy wave functions. Zbl 1111.82025
Jakobsen, Per K.; Lychagin, Valentin V.
2006
On linearization of planar three-webs and Blaschke’s conjecture. Zbl 1102.53051
Goldberg, Vladislav V.; Lychagin, Valentin V.
2005
Linearizability of $$d$$-webs, $$d \geq 4$$, on two-dimensional manifolds. Zbl 1073.53021
Akivis, Maks A.; Goldberg, Vladislav V.; Lychagin, Valentin V.
2004
A compatibility criterion for systems of PDEs and generalized Lagrange-Charpit method. Zbl 1121.58004
Kruglikov, Boris; Lychagin, Valentin
2004
Mayer brackets and solvability of PDEs. I. Zbl 1026.35004
Kruglikov, Boris; Lychagin, Valentin
2002
Quantizations of differential equations. Zbl 1042.18500
Lychagin, Valentin
2001
Quantum mechanics on manifolds. Zbl 0930.35149
Lychagin, V.
1999
On equivalence of differential equations. Zbl 1122.35302
Kruglikov, Boris; Lychagin, Valentin
1999
Calculus and quantizations over Hopf algebras. Zbl 0914.18007
Lychagin, V.
1998
Colour calculus and colour quantizations. Zbl 0846.18006
Lychagin, V.
1995
Homogeneous geometric structures and homogeneous differential equations. Zbl 0843.58002
Lychagin, V.
1995
Singularities of Cauchy data, characteristics, cocharacteristics and integral cobordism. Zbl 0808.58039
Lychagin, V.; Prástaro, A.
1994
Braided differential operators and quantizations in $$ABC$$-categories. Zbl 0803.18005
Lychagin, Valentin
1994
Non-holonomic filtration: Algebraic and geometric aspects of non-integrability. Zbl 0889.58071
1994
A classification of Monge-Ampère equations. Zbl 0789.58078
Lychagin, V. V.; Rubtsov, V. N.; Chekalov, I. V.
1993
Spencer cohomology of invariant systems of differential equations on homogeneous spaces. Zbl 0818.58051
Zil&rsquo;berglejt, L. V.; Lychagin, V. V.
1993
Homogeneous structures on manifolds: Differential geometry from the point of view of differential equations. Zbl 0801.58043
Lychagin, V. V.
1992
Differential equations on two-dimensional manifolds. Zbl 0899.58062
Lychagin, V. V.
1992
Symmetries of distributions and quadrature of ordinary differential equations. Zbl 0739.34001
Duzhin, S. V.; Lychagin, V. V.
1991
Solvability of Fuchsian equations depending on a parameter. Zbl 0778.34005
Lychagin, V. V.
1991
Geometric theory of singularities of solutions of nonlinear differential equations. Zbl 1267.35056
Lychagin, V. V.
1990
Nonholonomic intermediate integrals of partial differential equations. Zbl 0788.35093
Lychagin, V. V.; Romanovskij, Yu. R.
1990
Basic ideas and concepts of differential geometry. Zbl 0735.53001
Alekseev, D. V.; Vinogradov, A. M.; Lychagin, V. V.
1988
Basic ideas and notions from differential geometry. Zbl 0675.53001
Alekseevskij, D. V.; Vinogradov, A. M.; Lychagin, V. V.
1988
Singularities of solutions, spectral sequences, and normal forms of Lie algebras of vector fields. Zbl 0675.58044
Lychagin, V. V.
1988
Singularities of solutions, spectral sequences and normal forms of Lie algebras of vector fields. Zbl 0643.58039
Lychagin, V. V.
1987
Geometry of jet spaces and nonlinear partial differential equations. Transl. from the Russian by A. B. Sosinskij. Zbl 0722.35001
Krasil&rsquo;shchik, I. S.; Lychagin, V. V.; Vinogradov, A. M.
1986
Introduction to the geometry of nonlinear differential equations. (Vvedenie v geometriyu nelinejnykh differentsial’nykh uravnenij). Zbl 0592.35002
Vinogradov, A. M.; Krasil&rsquo;shchik, I. S.; Lychagin, V. V.
1986
Topological aspects of geometrical theory of differential equations. Zbl 0603.58057
Lychagin, V. V.
1986
Singularities of multivalued solutions of nonlinear differential equations, and nonlinear phenomena. Zbl 0562.35008
Lychagin, V. V.
1985
Differential operators on fiber spaces. Zbl 0555.58029
Lychagin, V. V.
1985
Topological aspects of the geometric theory of differential equations. Zbl 0583.58030
Lychagin, V. V.
1985
On Sophus Lie’s theorems for the Monge-Ampère equations. Zbl 0526.58002
Lychagin, V. V.; Rubtsov, V. N.
1983
Local classification of Monge-Ampère differential equations. Zbl 0555.35016
Lychagin, V. V.; Rubtsov, V. N.
1983
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