Filippov, Aleksei Fedorovich

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Total publications: 51
Scientific articles: 45

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Doctor of physico-mathematical sciences
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Publications in Math-Net.Ru
1. R. I. Alidema, A. F. Filippov, “Estimates for the Eigenvalues of Matrices”, Mat. Zametki, 79:2 (2006),  169–177  mathnet  mathscinet  zmath  elib; Math. Notes, 79:2 (2006), 157–164  isi  scopus
2. A. F. Filippov, “Uniqueness of the solution of a system of differential equations unsolved for the derivatives”, Differ. Uravn., 41:1 (2005),  87–92  mathnet  mathscinet; Differ. Equ., 41:1 (2005), 90–95
3. A. F. Philippov, N. D. Zolotarëva, “Estimates of local and global errors of the Störmer method for systems of equations”, Zh. Vychisl. Mat. Mat. Fiz., 44:1 (2004),  111–122  mathnet  zmath; Comput. Math. Math. Phys., 44:1 (2004), 100–111
4. A. F. Filippov, “A Lyapunov-Type Function for Generalized Dynamical Systems Without Uniqueness”, Differ. Uravn., 39:6 (2003),  852–854  mathnet  mathscinet; Differ. Equ., 39:6 (2003), 901–903
5. A. F. Filippov, “The infinitesimal order of perturbations preserving the instability of a singular point”, Differ. Uravn., 36:8 (2000),  1037–1044  mathnet  mathscinet; Differ. Equ., 36:8 (2000), 1146–1154
6. A. F. Filippov, “Stability and instability by the first approximation”, Differ. Uravn., 36:4 (2000),  475–485  mathnet  mathscinet; Differ. Equ., 36:4 (2000), 529–539
7. A. F. Filippov, “Application of the axiomatic method for studying differential equations with singularities”, Differ. Uravn., 32:2 (1996),  205–215  mathnet  mathscinet; Differ. Equ., 32:2 (1996), 208–218
8. A. F. Filippov, “Classification of compact invariant sets of dynamical systems”, Izv. RAN. Ser. Mat., 57:6 (1993),  130–140  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 43:3 (1994), 517–526  isi
9. A. F. Filippov, “Using a computer to obtain strict bounds on solutions of differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 31:7 (1991),  994–1005  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 31:7 (1991), 37–45  isi
10. A. F. Filippov, “Perturbations of linear systems with quasiperiodic coefficients”, Differ. Uravn., 26:8 (1990),  1343–1348  mathnet  mathscinet  zmath; Differ. Equ., 26:8 (1990), 984–988
11. A. F. Filippov, “Properties of the solutions of a linear system with quasiperiodic coefficients”, Mat. Zametki, 47:2 (1990),  124–129  mathnet  mathscinet  zmath; Math. Notes, 47:2 (1990), 207–212  isi
12. 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, “Some unsolved problems in the theory of differential equations and mathematical physics”, Uspekhi Mat. Nauk, 44:4(268) (1989),  191–202  mathnet  mathscinet  zmath; Russian Math. Surveys, 44:4 (1989), 157–171  isi
13. A. F. Filippov, “Determination of characteristic exponents of linear systems with quasiperiodic coefficients”, Mat. Zametki, 44:2 (1988),  231–243  mathnet  mathscinet  zmath; Math. Notes, 44:2 (1988), 609–616  isi
14. A. F. Philippov, “Structural instability of three-dimensional systems in an open domain of the parameter space”, Differ. Uravn., 23:3 (1987),  538–539  mathnet  zmath
15. V. I. Blagodatskikh, A. F. Filippov, “Differential inclusions and optimal control”, Trudy Mat. Inst. Steklov., 169 (1985),  194–252  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 169 (1986), 199–259
16. A. F. Filippov, “Singular points of differential inclusions in the plane”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, 6,  46–52  mathnet  mathscinet  zmath
17. A. F. Filippov, “Stability conditions of homogeneous systems with arbitrary switches of the operating modes”, Avtomat. i Telemekh., 1980, 8,  48–55  mathnet  zmath; Autom. Remote Control, 41:8 (1981), 1078–1085
18. A. F. Filippov, “A system of differential equations with some discontinuous functions”, Mat. Zametki, 27:2 (1980),  255–266  mathnet  mathscinet  zmath; Math. Notes, 27:2 (1980), 125–131  isi
19. A. F. Filippov, “Singularities on wave fronts arising at diffraction on a polyhedron”, Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980),  471–481  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 20:2 (1980), 202–212
20. A. F. Filippov, “Differential equations whose right-hand side is discontinuous on intersecting surfaces”, Differ. Uravn., 15:10 (1979),  1814–1823  mathnet  mathscinet  zmath
21. A. F. Filippov, “Stability for differential equations with discontinuous and multivalued right-hand sides”, Differ. Uravn., 15:6 (1979),  1018–1027  mathnet  mathscinet  zmath
22. A. F. Filippov, “A boundary value problem for the wave equation”, Differ. Uravn., 13:11 (1977),  2043–2050  mathnet  mathscinet  zmath
23. A. F. Filippov, “Conditions for the existence of solutions of multivalued differential equations”, Differ. Uravn., 13:6 (1977),  1070–1078  mathnet  mathscinet
24. A. F. Philippov, “Integral representations of the solutions of the two-dimensional wave equation, and diffraction problems”, Zh. Vychisl. Mat. Mat. Fiz., 17:3 (1977),  718–728  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 17:3 (1977), 153–163
25. A. F. Philippov, “Diffraction by a polyhedral angle of a spherical wave glancing along an edge”, Zh. Vychisl. Mat. Mat. Fiz., 14:1 (1974),  157–165  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 14:1 (1974), 156–164
26. A. F. Filippov, “Smoothness of generalized solutions near the vertex of a polyhedral angle”, Differ. Uravn., 9:10 (1973),  1889–1903  mathnet  mathscinet  zmath
27. A. F. Filippov, “Analytic continuation of functions of several variables”, Mat. Zametki, 14:1 (1973),  49–54  mathnet  mathscinet  zmath; Math. Notes, 14:1 (1973), 582–585
28. A. F. Filippov, “The existence of solutions of generalized differential equations”, Mat. Zametki, 10:3 (1971),  307–313  mathnet  mathscinet  zmath; Math. Notes, 10:3 (1971), 608–611
29. V. A. Il'in, A. F. Filippov, “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)”, Dokl. Akad. Nauk SSSR, 191:2 (1970),  267–269  mathnet  mathscinet  zmath
30. A. F. Filippov, “The foundations of high frequency asymptotics in a three-dimensional diffraction problem”, Sibirsk. Mat. Zh., 10:6 (1969),  1406–1421  mathnet  mathscinet  zmath; Siberian Math. J., 10:6 (1969), 1043–1055
31. A. F. Filippov, “The uniqueness of generalized solutions”, Sibirsk. Mat. Zh., 10:1 (1969),  217–222  mathnet  mathscinet  zmath; Siberian Math. J., 10:1 (1969), 152–155
32. A. F. Filippov, “On the first boundary problem for a hyperbolic equation in an arbitrary cylinder”, Mat. Zametki, 4:2 (1968),  181–189  mathnet  mathscinet  zmath; Math. Notes, 4:2 (1968), 601–605
33. A. F. Filippov, “Dissipativity and periodic solutions of second order nonsymmetric systems”, Differ. Uravn., 3:10 (1967),  1634–1642  mathnet  mathscinet  zmath
34. A. F. Philippov, “Study of the solution of the nonstationary problem of plane wave diffraction at an impedance wedge”, Zh. Vychisl. Mat. Mat. Fiz., 7:4 (1967),  825–835  mathnet  zmath; U.S.S.R. Comput. Math. Math. Phys., 7:4 (1967), 143–156
35. M. P. Sakharova, A. F. Philippov, “The solution of a non-stationary problem of diffraction at an impedance wedge using tabulated functions”, Zh. Vychisl. Mat. Mat. Fiz., 7:3 (1967),  568–579  mathnet  zmath; U.S.S.R. Comput. Math. Math. Phys., 7:3 (1967), 128–144
36. A. F. Filippov, “Diffraction on dihedral and polyhedral angles”, Mat. Sb. (N.S.), 70(112):4 (1966),  562–590  mathnet  mathscinet  zmath
37. A. F. Filippov, “Differential equations with multi-valued discontinuous right-hand side”, Dokl. Akad. Nauk SSSR, 151:1 (1963),  65–68  mathnet  mathscinet  zmath
38. A. F. Filippov, “Conditions for the existence of a solution of a quasi-linear parabolic equation”, Dokl. Akad. Nauk SSSR, 141:3 (1961),  568–570  mathnet  mathscinet  zmath
39. A. F. Filippov, “Über das Verteilungsgesetz der Grössen der Teilchen bei Zerstückelung”, Teor. Veroyatnost. i Primenen., 6:3 (1961),  299–318  mathnet; Theory Probab. Appl., 6:3 (1961), 275–294
40. A. F. Filippov, “Differential equations with discontinuous right-hand side”, Mat. Sb. (N.S.), 51(93):1 (1960),  99–128  mathnet  mathscinet  zmath
41. A. F. Filippov, “On continuous dependence of a solution on the initial conditions”, Uspekhi Mat. Nauk, 14:6(90) (1959),  197–201  mathnet  mathscinet  zmath
42. A. F. Filippov, “On the application of the method of finite differences to the solution of the problem of Tricomi”, Izv. Akad. Nauk SSSR Ser. Mat., 21:1 (1957),  73–88  mathnet  mathscinet  zmath
43. A. F. Filippov, “On the well-posedness and convergence of difference equations”, Uspekhi Mat. Nauk, 12:1(73) (1957),  245  mathnet
44. A. F. Filippov, “A sufficient condition for the existence of a stable limit cycle for an equation of the second order”, Mat. Sb. (N.S.), 30(72):1 (1952),  171–180  mathnet  mathscinet  zmath
45. A. F. Filippov, “An elementary proof of Jordan's theorem”, Uspekhi Mat. Nauk, 5:5(39) (1950),  173–176  mathnet  mathscinet  zmath

46. 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, “Vladimir Alexandrovich Kondratiev on the 70th anniversary of his birth”, Tr. Semim. im. I. G. Petrovskogo, 26 (2007),  5–28  mathnet  mathscinet; J. Math. Sci. (N. Y.), 143:4 (2007), 3183–3197
47. I. V. Astashova, L. A. Bagirov, V. V. Bykov, A. N. Vetokhin, A. Yu. Goritskii, G. V. Grishina, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, O. B. Lupanov, 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, A. A. Shkalikov, “Vladimir Aleksandrovich Kondrat'ev”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, 5,  77–79  mathnet
48. 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, “Vladimir Mikhaǐlovich Millionshchikov (on the occasion of his sixtieth birthday)”, Differ. Uravn., 35:10 (1999),  1299–1312  mathnet  mathscinet; Differ. Equ., 35:10 (1999), 1311–1327
49. O. A. Oleinik, È. A. Tikhonova, I. V. Gaishun, D. M. Grobman, N. A. Izobov, E. M. Landis, V. M. Millionshchikov, A. F. Filippov, “Boris Fedorovich Bylov”, Differ. Uravn., 30:3 (1994),  542–546  mathnet  mathscinet; Differ. Equ., 30:3 (1994), 505–508
50. 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, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 39:5(239) (1984),  253–260  mathnet
51. S. A. Gal'pern, R. S. Gusarova, A. F. Filippov, “N. M. Matveev, Methods of integration of ordinary differential equations (review)”, Uspekhi Mat. Nauk, 12:3(75) (1957),  279–283  mathnet  mathscinet  zmath

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