Lychagin Valentin Vasil'evich

Publications in Math-Net.Ru

1. Contact geometry in optimal control of thermodynamic processes for gases
   
   Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020),  99–103
2. Optimal management of oil field development in the Buckley–Leverett model
   
   Avtomat. i Telemekh., 2018, no. 4,  75–91
3. Geometric theory of special modes in the distributed-parameter control systems. I
   
   Avtomat. i Telemekh., 2013, no. 11,  20–38
4. Petrov invariants of Hamiltonian systems with a control parameter
   
   Avtomat. i Telemekh., 2013, no. 3,  83–102
5. On Metric Equivalence of Functions on the Lobachevski Plane
   
   Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151:4 (2009),  54–59
6. Abelian equations and rank problems for planar webs
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 10,  40–75
7. Maximum Entropy Wave functions
   
   Lobachevskii J. Math., 23 (2006),  29–56
8. Universal semigroups
   
   Lobachevskii J. Math., 18 (2005),  107–125
9. Quantizations in a category of relations
   
   Lobachevskii J. Math., 17 (2005),  61–148
10. Transitive and transversal actions of pseudogroups on submanifolds
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 11,  30–44
11. Operator valued probability theory
    
    Lobachevskii J. Math., 16 (2004),  17–56
12. Realization of spinors in Minkowski space
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 5,  29–38
13. Spencer cohomologies and symmetries
    
    Mat. Zametki, 56:4 (1994),  79–94
14. Spencer cohomology of invariant systems of differential equations on homogeneous spaces
    
    Dokl. Akad. Nauk, 328:5 (1993),  544–546
15. Differential equations on two-dimensional manifolds
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 5,  43–57
16. Connections and singularities
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 5,  25–35
17. Nonholonomic filtration of cohomologies of Lie algebras and “large brackets”
    
    Mat. Zametki, 52:1 (1992),  36–41
18. Homogeneous structures on manifolds: Differential geometry from the point of view of differential equations
    
    Mat. Zametki, 51:4 (1992),  54–68
19. Solvability of Fuchsian equations depending on a parameter
    
    Mat. Zametki, 50:6 (1991),  71–84
20. Spectral sequences of stable Spencer cohomology of systems of differential equations over characteristic fiber bundles
    
    Dokl. Akad. Nauk SSSR, 310:5 (1990),  1039–1042
21. Classification of the intransitive actions of Lie algebras
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 5,  18–26
22. Topological indices of spencer complexes associated with geometric structures
    
    Mat. Zametki, 45:4 (1989),  59–68
23. Basic ideas and concepts of differential geometry
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 28 (1988),  5–289
24. Geometric theory of singularities of solutions of nonlinear differential equations
    
    Itogi Nauki i Tekhniki. Ser. Probl. Geom., 20 (1988),  207–247
25. 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
26. Differential operators on fiber spaces
    
    Uspekhi Mat. Nauk, 40:2(242) (1985),  187–188
27. On the microlocal structure of pseudodifferential operators
    
    Mat. Sb. (N.S.), 128(170):4(12) (1985),  516–529
28. Local classification of Monge–Ampère differential equations
    
    Dokl. Akad. Nauk SSSR, 272:1 (1983),  34–38
29. Characteristic classes of solutions of differential equations
    
    Dokl. Akad. Nauk SSSR, 271:6 (1983),  1320–1324
30. Spectral sequences and normal forms of Lie algebras of vector fields
    
    Uspekhi Mat. Nauk, 38:5(233) (1983),  199–200
31. The geometry and topology of shock waves
    
    Dokl. Akad. Nauk SSSR, 264:3 (1982),  551–555
32. Geometric singularities of solutions of nonlinear differential equations
    
    Dokl. Akad. Nauk SSSR, 261:6 (1981),  1299–1303
33. On the singularities of solutions of differential equations
    
    Dokl. Akad. Nauk SSSR, 251:4 (1980),  794–799
34. Contact geometry and non-linear second-order differential equations
    
    Uspekhi Mat. Nauk, 34:1(205) (1979),  137–165
35. Nonlinear differential equations and contact geometry
    
    Dokl. Akad. Nauk SSSR, 238:2 (1978),  273–276
36. On sufficient orbits of a group of contact diffeomorphisms
    
    Mat. Sb. (N.S.), 104(146):2(10) (1977),  248–270
37. Lokal classification of non-lineral first order partial differential equations
    
    Uspekhi Mat. Nauk, 30:1(181) (1975),  101–171
38. Local classification of first-order nonlinear partial differential equations
    
    Dokl. Akad. Nauk SSSR, 210:3 (1973),  525–528


39. Alexandre Mikhailovich Vinogradov (obituary)
    
    Uspekhi Mat. Nauk, 75:2(452) (2020),  185–190