Filippov Aleksei Fedorovich

Publications in Math-Net.Ru

1. Estimates for the Eigenvalues of Matrices
   
   Mat. Zametki, 79:2 (2006),  169–177
2. Uniqueness of the solution of a system of differential equations unsolved for the derivatives
   
   Differ. Uravn., 41:1 (2005),  87–92
3. Estimates of local and global errors of the Störmer method for systems of equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 44:1 (2004),  111–122
4. A Lyapunov-Type Function for Generalized Dynamical Systems Without Uniqueness
   
   Differ. Uravn., 39:6 (2003),  852–854
5. The infinitesimal order of perturbations preserving the instability of a singular point
   
   Differ. Uravn., 36:8 (2000),  1037–1044
6. Stability and instability by the first approximation
   
   Differ. Uravn., 36:4 (2000),  475–485
7. Application of the axiomatic method for studying differential equations with singularities
   
   Differ. Uravn., 32:2 (1996),  205–215
8. Classification of compact invariant sets of dynamical systems
   
   Izv. RAN. Ser. Mat., 57:6 (1993),  130–140
9. Using a computer to obtain strict bounds on solutions of differential equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 31:7 (1991),  994–1005
10. Perturbations of linear systems with quasiperiodic coefficients
    
    Differ. Uravn., 26:8 (1990),  1343–1348
11. Properties of the solutions of a linear system with quasiperiodic coefficients
    
    Mat. Zametki, 47:2 (1990),  124–129
12. Some unsolved problems in the theory of differential equations and mathematical physics
    
    Uspekhi Mat. Nauk, 44:4(268) (1989),  191–202
13. Determination of characteristic exponents of linear systems with quasiperiodic coefficients
    
    Mat. Zametki, 44:2 (1988),  231–243
14. Structural instability of three-dimensional systems in an open domain of the parameter space
    
    Differ. Uravn., 23:3 (1987),  538–539
15. Differential inclusions and optimal control
    
    Trudy Mat. Inst. Steklov., 169 (1985),  194–252
16. Singular points of differential inclusions in the plane
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 6,  46–52
17. Stability conditions of homogeneous systems with arbitrary switches of the operating modes
    
    Avtomat. i Telemekh., 1980, no. 8,  48–55
18. A system of differential equations with some discontinuous functions
    
    Mat. Zametki, 27:2 (1980),  255–266
19. Singularities on wave fronts arising at diffraction on a polyhedron
    
    Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980),  471–481
20. Differential equations whose right-hand side is discontinuous on intersecting surfaces
    
    Differ. Uravn., 15:10 (1979),  1814–1823
21. Stability for differential equations with discontinuous and multivalued right-hand sides
    
    Differ. Uravn., 15:6 (1979),  1018–1027
22. A boundary value problem for the wave equation
    
    Differ. Uravn., 13:11 (1977),  2043–2050
23. Conditions for the existence of solutions of multivalued differential equations
    
    Differ. Uravn., 13:6 (1977),  1070–1078
24. Integral representations of the solutions of the two-dimensional wave equation, and diffraction problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 17:3 (1977),  718–728
25. Diffraction by a polyhedral angle of a spherical wave glancing along an edge
    
    Zh. Vychisl. Mat. Mat. Fiz., 14:1 (1974),  157–165
26. Smoothness of generalized solutions near the vertex of a polyhedral angle
    
    Differ. Uravn., 9:10 (1973),  1889–1903
27. Analytic continuation of functions of several variables
    
    Mat. Zametki, 14:1 (1973),  49–54
28. The existence of solutions of generalized differential equations
    
    Mat. Zametki, 10:3 (1971),  307–313
29. 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
30. The foundations of high frequency asymptotics in a three-dimensional diffraction problem
    
    Sibirsk. Mat. Zh., 10:6 (1969),  1406–1421
31. The uniqueness of generalized solutions
    
    Sibirsk. Mat. Zh., 10:1 (1969),  217–222
32. On the first boundary problem for a hyperbolic equation in an arbitrary cylinder
    
    Mat. Zametki, 4:2 (1968),  181–189
33. Dissipativity and periodic solutions of second order nonsymmetric systems
    
    Differ. Uravn., 3:10 (1967),  1634–1642
34. 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
35. 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
36. Diffraction on dihedral and polyhedral angles
    
    Mat. Sb. (N.S.), 70(112):4 (1966),  562–590
37. Differential equations with multi-valued discontinuous right-hand side
    
    Dokl. Akad. Nauk SSSR, 151:1 (1963),  65–68
38. Conditions for the existence of a solution of a quasi-linear parabolic equation
    
    Dokl. Akad. Nauk SSSR, 141:3 (1961),  568–570
39. Über das Verteilungsgesetz der Grössen der Teilchen bei Zerstückelung
    
    Teor. Veroyatnost. i Primenen., 6:3 (1961),  299–318
40. Differential equations with discontinuous right-hand side
    
    Mat. Sb. (N.S.), 51(93):1 (1960),  99–128
41. On continuous dependence of a solution on the initial conditions
    
    Uspekhi Mat. Nauk, 14:6(90) (1959),  197–201
42. 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
43. On the well-posedness and convergence of difference equations
    
    Uspekhi Mat. Nauk, 12:1(73) (1957),  245
44. 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
45. An elementary proof of Jordan's theorem
    
    Uspekhi Mat. Nauk, 5:5(39) (1950),  173–176


46. Vladimir Alexandrovich Kondratiev on the 70th anniversary of his birth
    
    Tr. Semim. im. I. G. Petrovskogo, 26 (2007),  5–28
47. Vladimir Aleksandrovich Kondrat'ev
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 5,  77–79
48. Vladimir Mikhaǐlovich Millionshchikov (on the occasion of his sixtieth birthday)
    
    Differ. Uravn., 35:10 (1999),  1299–1312
49. Boris Fedorovich Bylov
    
    Differ. Uravn., 30:3 (1994),  542–546
50. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
    
    Uspekhi Mat. Nauk, 39:5(239) (1984),  253–260
51. N. M. Matveev, Methods of integration of ordinary differential equations (review)
    
    Uspekhi Mat. Nauk, 12:3(75) (1957),  279–283