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Lychagin, Valentin Vasil'evich
Statistics Math-Net.Ru
Total publications: 38
Scientific articles: 37
Presentations: 5

Number of views:
This page:2190
Abstract pages:11253
Full texts:4897
References:679
Professor
Doctor of physico-mathematical sciences (1990)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 01.04.1947
E-mail: ,
Keywords: differntial equations.
   
Main publications:
  • Local classification of nonlinear partial differential equations of the first order // Uspeshi Mat. Nauk, 1975, 30, 1, 101–171.
  • Contact geometry and nonlinear partial differential equations of the second order // Uspeshi Math.Nauk, 1979, 34, 1, 137–165.
  • Singularities of solutions, spectral sequences and normal forms of Lie algebras of vector fields // Proc. of Acad. Sci. USSR, 1987, 51, 3, 484–511.
  • Braided differential operators and quantizations in ABC-categories // Competes Rendus Acad. Sci. Paris, Ser. 1, 1994, 318, 857–862.
  • Homogeneous geometric structures and homogeneous differential equations // AMS Translations, Advances in Math. Sci., Ser. 2, 1995, 167, 143–164.

http://www.mathnet.ru/eng/person17674
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/197621

Publications in Math-Net.Ru
2018
1. A. V. Akhmetzianov, A. G. Kushner, V. V. Lychagin, “Optimal management of oil field development in the Buckley–Leverett model”, Avtomat. i Telemekh., 2018, 4,  75–91  mathnet  elib; Autom. Remote Control, 79:4 (2018), 641–654  isi  scopus
2013
2. A. V. Akhmetzyanov, A. G. Kushner, V. V. Lychagin, “Geometric theory of special modes in the distributed-parameter control systems. I”, Avtomat. i Telemekh., 2013, 11,  20–38  mathnet; Autom. Remote Control, 74:11 (2013), 1786–1801  isi  scopus
3. A. G. Kushner, V. V. Lychagin, “Petrov invariants of Hamiltonian systems with a control parameter”, Avtomat. i Telemekh., 2013, 3,  83–102  mathnet  zmath; Autom. Remote Control, 74:3 (2013), 385–400  isi  scopus
2009
4. N. G. Konovenko, V. V. Lychagin, “On Metric Equivalence of Functions on the Lobachevski Plane”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151:4 (2009),  54–59  mathnet
2007
5. V. V. Goldberg, V. V. Lychagin, “Abelian equations and rank problems for planar webs”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, 10,  40–75  mathnet  mathscinet; Russian Math. (Iz. VUZ), 51:10 (2007), 39–75
2006
6. P. K. Jakobsen, V. V. Lychagin, “Maximum Entropy Wave functions”, Lobachevskii J. Math., 23 (2006),  29–56  mathnet  mathscinet  zmath
2005
7. P. K. Jakobsen, V. V. Lychagin, “Universal semigroups”, Lobachevskii J. Math., 18 (2005),  107–125  mathnet  mathscinet  zmath
8. P. K. Jakobsen, V. V. Lychagin, “Quantizations in a category of relations”, Lobachevskii J. Math., 17 (2005),  61–148  mathnet  mathscinet  zmath
2004
9. B. S. Kruglikov, V. V. Lychagin, “Transitive and transversal actions of pseudogroups on submanifolds”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, 11,  30–44  mathnet  mathscinet; Russian Math. (Iz. VUZ), 48:11 (2004), 27–40
10. P. K. Jakobsen, V. V. Lychagin, “Operator valued probability theory”, Lobachevskii J. Math., 16 (2004),  17–56  mathnet  mathscinet  zmath
1995
11. L. V. Zilbergleĭt, V. V. Lychagin, “Realization of spinors in Minkowski space”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, 5,  29–38  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 39:5 (1995), 26–34
1994
12. L. V. Zilbergleit, V. V. Lychagin, “Spencer cohomologies and symmetries”, Mat. Zametki, 56:4 (1994),  79–94  mathnet  mathscinet  zmath; Math. Notes, 56:4 (1994), 1043–1054  isi
1993
13. L. V. Zilbergleit, V. V. Lychagin, “Spencer cohomology of invariant systems of differential equations on homogeneous spaces”, Dokl. Akad. Nauk, 328:5 (1993),  544–546  mathnet  mathscinet  zmath; Dokl. Math., 47:1 (1993), 122–125
1992
14. V. V. Lychagin, “Differential equations on two-dimensional manifolds”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, 5,  43–57  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 36:5 (1992), 38–51
15. L. V. Zilbergleit, V. V. Lychagin, “Connections and singularities”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, 5,  25–35  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 36:5 (1992), 21–30
16. D. I. Gurevich, V. V. Lychagin, V. N. Rubtsov, “Nonholonomic filtration of cohomologies of Lie algebras and “large brackets””, Mat. Zametki, 52:1 (1992),  36–41  mathnet  mathscinet  zmath; Math. Notes, 52:1 (1992), 657–661  isi
17. V. V. Lychagin, “Homogeneous structures on manifolds: Differential geometry from the point of view of differential equations”, Mat. Zametki, 51:4 (1992),  54–68  mathnet  mathscinet  zmath; Math. Notes, 51:4 (1992), 363–373  isi
1991
18. V. V. Lychagin, “Solvability of Fuchsian equations depending on a parameter”, Mat. Zametki, 50:6 (1991),  71–84  mathnet  mathscinet  zmath; Math. Notes, 50:6 (1991), 1263–1273  isi
1990
19. L. V. Zilbergleit, V. V. Lychagin, “Spectral sequences of stable Spencer cohomology of systems of differential equations over characteristic fiber bundles”, Dokl. Akad. Nauk SSSR, 310:5 (1990),  1039–1042  mathnet  mathscinet  zmath; Dokl. Math., 41:1 (1990), 148–151
1989
20. V. V. Lychagin, “Classification of the intransitive actions of Lie algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, 5,  18–26  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:5 (1989), 25–38
21. V. V. Lychagin, V. N. Rubtsov, “Topological indices of spencer complexes associated with geometric structures”, Mat. Zametki, 45:4 (1989),  59–68  mathnet  mathscinet  zmath; Math. Notes, 45:4 (1989), 305–312  isi
1988
22. D. V. Alekseevskii, A. M. Vinogradov, V. V. Lychagin, “Basic ideas and concepts of differential geometry”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 28 (1988),  5–289  mathnet  mathscinet  zmath
23. V. V. Lychagin, “Geometric theory of singularities of solutions of nonlinear differential equations”, Itogi Nauki i Tekhniki. Ser. Probl. Geom., 20 (1988),  207–247  mathnet  mathscinet; J. Soviet Math., 51:6 (1990), 2735–2757
1987
24. V. V. Lychagin, “Singularities of solutions, spectral sequences, and normal forms of Lie algebras of vector fields”, Izv. Akad. Nauk SSSR Ser. Mat., 51:3 (1987),  584–612  mathnet  mathscinet  zmath; Math. USSR-Izv., 30:3 (1988), 549–575
1985
25. V. V. Lychagin, “Differential operators on fiber spaces”, Uspekhi Mat. Nauk, 40:2(242) (1985),  187–188  mathnet  mathscinet  zmath; Russian Math. Surveys, 40:2 (1985), 221–222  isi
26. V. V. Lychagin, B. Yu. Sternin, “On the microlocal structure of pseudodifferential operators”, Mat. Sb. (N.S.), 128(170):4(12) (1985),  516–529  mathnet  mathscinet  zmath; Math. USSR-Sb., 56:2 (1987), 515–527
1983
27. V. V. Lychagin, V. N. Rubtsov, “Local classification of Monge–Ampère differential equations”, Dokl. Akad. Nauk SSSR, 272:1 (1983),  34–38  mathnet  mathscinet  zmath
28. V. V. Lychagin, “Characteristic classes of solutions of differential equations”, Dokl. Akad. Nauk SSSR, 271:6 (1983),  1320–1324  mathnet  mathscinet  zmath
29. V. V. Lychagin, “Spectral sequences and normal forms of Lie algebras of vector fields”, Uspekhi Mat. Nauk, 38:5(233) (1983),  199–200  mathnet  mathscinet  zmath; Russian Math. Surveys, 38:5 (1983), 152–153  isi
1982
30. V. V. Lychagin, “The geometry and topology of shock waves”, Dokl. Akad. Nauk SSSR, 264:3 (1982),  551–555  mathnet  mathscinet  zmath
1981
31. V. V. Lychagin, “Geometric singularities of solutions of nonlinear differential equations”, Dokl. Akad. Nauk SSSR, 261:6 (1981),  1299–1303  mathnet  mathscinet  zmath
1980
32. V. V. Lychagin, “On the singularities of solutions of differential equations”, Dokl. Akad. Nauk SSSR, 251:4 (1980),  794–799  mathnet  mathscinet  zmath
1979
33. V. V. Lychagin, “Contact geometry and non-linear second-order differential equations”, Uspekhi Mat. Nauk, 34:1(205) (1979),  137–165  mathnet  mathscinet  zmath; Russian Math. Surveys, 34:1 (1979), 149–180
1978
34. V. V. Lychagin, “Nonlinear differential equations and contact geometry”, Dokl. Akad. Nauk SSSR, 238:2 (1978),  273–276  mathnet  mathscinet  zmath
1977
35. V. V. Lychagin, “On sufficient orbits of a group of contact diffeomorphisms”, Mat. Sb. (N.S.), 104(146):2(10) (1977),  248–270  mathnet  mathscinet  zmath; Math. USSR-Sb., 33:2 (1977), 223–242  isi
1975
36. V. V. Lychagin, “Lokal classification of non-lineral first order partial differential equations”, Uspekhi Mat. Nauk, 30:1(181) (1975),  101–171  mathnet  mathscinet  zmath; Russian Math. Surveys, 30:1 (1975), 105–175
1973
37. V. V. Lychagin, “Local classification of first-order nonlinear partial differential equations”, Dokl. Akad. Nauk SSSR, 210:3 (1973),  525–528  mathnet  mathscinet  zmath
2020
38. A. M. Astashov, I. V. Astashova, A. V. Bocharov, V. M. Buchstaber, V. A. Vassiliev, A. Verbovetsky, A. M. Vershik, A. P. Veselov, M. M. Vinogradov, L. Vitagliano, R. F. Vitolo, Th. Th. Voronov, V. G. Kac, Y. Kosmann-Schwarzbach, I. S. Krasil'shchik, I. M. Krichever, A. P. Krishchenko, S. K. Lando, V. V. Lychagin, M. Marvan, V. P. Maslov, A. S. Mishchenko, S. P. Novikov, V. N. Rubtsov, A. V. Samokhin, A. B. Sossinsky, J. Stasheff, D. B. Fuchs, A. Ya. Khelemsky, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Uspekhi Mat. Nauk, 75:2(452) (2020),  185–190  mathnet; Russian Math. Surveys, 75:2 (2020), 369–375  isi

Presentations in Math-Net.Ru
1. On dynamics of molecular media and generalization of Navier-Stokes equations
V. V. Lychagin
Cohomological geometry of differential equations
April 7, 2021 19:20
2. Differential equations, their symmetries, invariants and quotients
V. V. Lychagin
Cohomological geometry of differential equations
November 25, 2020 19:20   
3. On structure of linear differential operators of the first order
V. V. Lychagin
Cohomological geometry of differential equations
May 4, 2020 15:00
4. On equivalence of linear differential operators, acting in line bundles
V. V. Lychagin
Cohomological geometry of differential equations
September 25, 2019 19:20
5. On filtration of gas in porous media
V. V. Lychagin
Cohomological geometry of differential equations
September 19, 2018 19:20

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