Filippov Aleksei Fedorovich

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Total publications: 47
Scientific articles: 42

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Full texts:12768
Doctor of physico-mathematical sciences
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Publications in Math-Net.Ru
1. Estimates for the Eigenvalues of Matrices
R. I. Alidema, A. F. Filippov
Mat. Zametki, 79:2 (2006),  169–177
2. Uniqueness of the solution of a system of differential equations unsolved for the derivatives
A. F. Filippov
Differ. Uravn., 41:1 (2005),  87–92
3. Estimates of local and global errors of the Störmer method for systems of equations
A. F. Philippov, N. D. Zolotarëva
Zh. Vychisl. Mat. Mat. Fiz., 44:1 (2004),  111–122
4. A Lyapunov-Type Function for Generalized Dynamical Systems Without Uniqueness
A. F. Filippov
Differ. Uravn., 39:6 (2003),  852–854
5. The infinitesimal order of perturbations preserving the instability of a singular point
A. F. Filippov
Differ. Uravn., 36:8 (2000),  1037–1044
6. Stability and instability by the first approximation
A. F. Filippov
Differ. Uravn., 36:4 (2000),  475–485
7. Application of the axiomatic method for studying differential equations with singularities
A. F. Filippov
Differ. Uravn., 32:2 (1996),  205–215
8. Classification of compact invariant sets of dynamical systems
A. F. Filippov
Izv. RAN. Ser. Mat., 57:6 (1993),  130–140
9. Using a computer to obtain strict bounds on solutions of differential equations
A. F. Filippov
Zh. Vychisl. Mat. Mat. Fiz., 31:7 (1991),  994–1005
10. Perturbations of linear systems with quasiperiodic coefficients
A. F. Filippov
Differ. Uravn., 26:8 (1990),  1343–1348
11. Properties of the solutions of a linear system with quasiperiodic coefficients
A. F. Filippov
Mat. Zametki, 47:2 (1990),  124–129
12. Some unsolved problems in the theory of differential equations and mathematical physics
V. I. Arnol'd, M. I. Vishik, Yu. S. Ilyashenko, A. S. Kalashnikov, V. A. Kondrat'ev, S. N. Kruzhkov, E. M. Landis, V. M. Millionshchikov, O. A. Oleinik, A. F. Filippov, M. A. Shubin
Uspekhi Mat. Nauk, 44:4(268) (1989),  191–202
13. Determination of characteristic exponents of linear systems with quasiperiodic coefficients
A. F. Filippov
Mat. Zametki, 44:2 (1988),  231–243
14. Structural instability of three-dimensional systems in an open domain of the parameter space
A. F. Philippov
Differ. Uravn., 23:3 (1987),  538–539
15. Differential inclusions and optimal control
V. I. Blagodatskikh, A. F. Filippov
Trudy Mat. Inst. Steklov., 169 (1985),  194–252
16. Stability conditions of homogeneous systems with arbitrary switches of the operating modes
A. F. Filippov
Avtomat. i Telemekh., 1980, no. 8,  48–55
17. A system of differential equations with some discontinuous functions
A. F. Filippov
Mat. Zametki, 27:2 (1980),  255–266
18. Singularities on wave fronts arising at diffraction on a polyhedron
A. F. Filippov
Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980),  471–481
19. Differential equations whose right-hand side is discontinuous on intersecting surfaces
A. F. Filippov
Differ. Uravn., 15:10 (1979),  1814–1823
20. Stability for differential equations with discontinuous and multivalued right-hand sides
A. F. Filippov
Differ. Uravn., 15:6 (1979),  1018–1027
21. A boundary value problem for the wave equation
A. F. Filippov
Differ. Uravn., 13:11 (1977),  2043–2050
22. Conditions for the existence of solutions of multivalued differential equations
A. F. Filippov
Differ. Uravn., 13:6 (1977),  1070–1078
23. Integral representations of the solutions of the two-dimensional wave equation, and diffraction problems
A. F. Philippov
Zh. Vychisl. Mat. Mat. Fiz., 17:3 (1977),  718–728
24. Diffraction by a polyhedral angle of a spherical wave glancing along an edge
A. F. Philippov
Zh. Vychisl. Mat. Mat. Fiz., 14:1 (1974),  157–165
25. Smoothness of generalized solutions near the vertex of a polyhedral angle
A. F. Filippov
Differ. Uravn., 9:10 (1973),  1889–1903
26. Analytic continuation of functions of several variables
A. F. Filippov
Mat. Zametki, 14:1 (1973),  49–54
27. The existence of solutions of generalized differential equations
A. F. Filippov
Mat. Zametki, 10:3 (1971),  307–313
28. The character of the spectrum of a selfadjoint extension of the Laplace operator in a bounded region (fundamental systems of functions with an arbitrary preassigned subsequence of fundamental numbers)
V. A. Il'in, A. F. Filippov
Dokl. Akad. Nauk SSSR, 191:2 (1970),  267–269
29. On the first boundary problem for a hyperbolic equation in an arbitrary cylinder
A. F. Filippov
Mat. Zametki, 4:2 (1968),  181–189
30. Dissipativity and periodic solutions of second order nonsymmetric systems
A. F. Filippov
Differ. Uravn., 3:10 (1967),  1634–1642
31. Study of the solution of the nonstationary problem of plane wave diffraction at an impedance wedge
A. F. Philippov
Zh. Vychisl. Mat. Mat. Fiz., 7:4 (1967),  825–835
32. The solution of a non-stationary problem of diffraction at an impedance wedge using tabulated functions
M. P. Sakharova, A. F. Philippov
Zh. Vychisl. Mat. Mat. Fiz., 7:3 (1967),  568–579
33. Diffraction on dihedral and polyhedral angles
A. F. Filippov
Mat. Sb. (N.S.), 70(112):4 (1966),  562–590
34. Differential equations with multi-valued discontinuous right-hand side
A. F. Filippov
Dokl. Akad. Nauk SSSR, 151:1 (1963),  65–68
35. Conditions for the existence of a solution of a quasi-linear parabolic equation
A. F. Filippov
Dokl. Akad. Nauk SSSR, 141:3 (1961),  568–570
36. Über das Verteilungsgesetz der Grössen der Teilchen bei Zerstückelung
A. F. Filippov
Teor. Veroyatnost. i Primenen., 6:3 (1961),  299–318
37. Differential equations with discontinuous right-hand side
A. F. Filippov
Mat. Sb. (N.S.), 51(93):1 (1960),  99–128
38. On continuous dependence of a solution on the initial conditions
A. F. Filippov
Uspekhi Mat. Nauk, 14:6(90) (1959),  197–201
39. On the application of the method of finite differences to the solution of the problem of Tricomi
A. F. Filippov
Izv. Akad. Nauk SSSR Ser. Mat., 21:1 (1957),  73–88
40. On the well-posedness and convergence of difference equations
A. F. Filippov
Uspekhi Mat. Nauk, 12:1(73) (1957),  245
41. A sufficient condition for the existence of a stable limit cycle for an equation of the second order
A. F. Filippov
Mat. Sb. (N.S.), 30(72):1 (1952),  171–180
42. An elementary proof of Jordan's theorem
A. F. Filippov
Uspekhi Mat. Nauk, 5:5(39) (1950),  173–176

43. Vladimir Alexandrovich Kondratiev on the 70th anniversary of his birth
I. V. Astashova, L. A. Bagirov, A. V. Borovskikh, V. V. Bykov, A. N. Vetokhin, A. Yu. Goritskii, G. V. Grishina, N. V. Denisova, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, I. V. Matrosov, V. M. Millionshchikov, V. A. Nikishkin, E. V. Radkevich, O. S. Rozanova, È. R. Rozendorn, N. Kh. Rozov, V. A. Sadovnichii, V. S. Samovol, I. N. Sergeev, I. V. Filimonova, A. V. Filinovskii, A. F. Filippov, T. S. Khachlaev, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova
Tr. Semim. im. I. G. Petrovskogo, 26 (2007),  5–28
44. Vladimir Mikhaǐlovich Millionshchikov (on the occasion of his sixtieth birthday)
D. V. Anosov, V. S. Vladimirov, I. V. Gaishun, N. A. Izobov, V. A. Il'in, I. T. Kiguradze, V. A. Kondratiev, L. D. Kudryavtsev, Yu. A. Mitropol'skii, E. F. Mishchenko, O. A. Oleinik, V. A. Pliss, M. I. Rakhimberdiev, N. Kh. Rozov, A. M. Samoilenko, A. F. Filippov, T. K. Shemjakina
Differ. Uravn., 35:10 (1999),  1299–1312
45. Boris Fedorovich Bylov
O. A. Oleinik, È. A. Tikhonova, I. V. Gaishun, D. M. Grobman, N. A. Izobov, E. M. Landis, V. M. Millionshchikov, A. F. Filippov
Differ. Uravn., 30:3 (1994),  542–546
46. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
V. Ya. Ivrii, A. B. Givental', V. I. Arnol'd, V. A. Kondrat'ev, O. A. Oleinik, V. M. Millionshchikov, N. Kh. Rozov, A. F. Filippov, A. A. Il'yushin, V. G. Vil'ke, A. M. Dykhne
Uspekhi Mat. Nauk, 39:5(239) (1984),  253–260
47. N. M. Matveev, Methods of integration of ordinary differential equations (review)
S. A. Gal'pern, R. S. Gusarova, A. F. Filippov
Uspekhi Mat. Nauk, 12:3(75) (1957),  279–283

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