Мэтр качественной теории и теории устойчивости динамических систем (к 100-летию со дня рождения Александра Андреевича Шестакова)

16. Druzhinina O.V, Shestakov A.A. On strength in the sense of Zhukovsky of almost periodic trajectories and properties of the limiting motions of dynamical systems, Doklady of RAS, 2004, Vol. 398, No. 5, pp. 614-619. (in Russian)

17. Druzhinina O.V, Shestakov A.A. On the extension of the concept of orbital stability of trajectories of a dynamical system, Doklady of RAS, 2001, Vol. 377, No. 5, pp. 621-625. (in Russian)

18. Druzhinina O.V, Shestakov A.A. On the limit properties of Lyapunov asymptotically stable and Zhukovsky asymptotically stable trajectories of dynamical systems, Doklady of RAS, 2006, Vol. 409, No. 2, pp. 185-190. (in Russian)

19. Druzhinina O.V, Shestakov A.A. On the structure of a attractor stable in the sense of Lyapunov, Doklady of RAS, 2000, Vol. 371, No. 6, pp. 770-772. (in Russian)

20. Druzhinina O.V, Shestakov A.A. The generalized direct Lyapunov method for studying stability and attraction in general time systems, Matematicheskij sbornik, 2002, Vol. 193, No. 10, pp. 17-48. (in Russian)

21. Druzhinina O.V, Shestakov A.A., Merenkov Yu.N. Stability of motion of fuzzy dynamic systems of railway transport, Transport: Science, Technology, Control, 2004, No. 2, pp. 6-9. (in Russian)

22. “Shestakov A.A. Curriculum Vitae”, in: Electronic library "Scientific Heritage of Russia”. http://e-heritage.ru/ras/view/person/history.html?id =47401527 (accessed: 11.04.2020).

23. Erugin N.P., Samarsky A.A. Alexander Andreevich Shestakov (on the occasion of his 60-th birthday), Differential Equations, 1980. Vol. 16, No. 3, pp. 564-570. (in Russian)

24. Furtat I.B. Divergent stability conditions of dynamical systems, Automation and Remote Control, 2020, No. 2, pp. 62-65. (in Russian)

25. Galiullin A.S., Shestakov A.A. Stability of motion and variational principles of dynamics, Bulletin of RUDN University. Seriya "Applied Mathematics and Computer Science", 1996, No. 2, pp. 2028. (in Russian)

26. Golechkov Yu.I., Shestakov A.A. Mathematical modeling. Part I. Moscow, VZIIT, 1993, 68 p.; Part II. Moscow, VZIIT, 1993, 90 p. (in Russian)

27. Ilyin V.A., Rumyantsev V.V, Samarsky A.A. Alexander Andreevich Shestakov (on the occasion of his 80-th birthday), Differential Equations, 2000. Vol. 36, No. 1, pp. 12-17. (in Russian)

28. Ilyin V.A., Samarsky A.A. Alexander Andreevich Shestakov (on the occasion of his 70-th birthday), Differential Equations, 1990, Vol. 26, No. 7, pp. 1280-1283. (in Russian)

29. Kato J., Martynyuk A.A., Shestakov A.A. Stability of motion of nonau-tonomous systems (method of limiting equations). Stability & Control: Theory, Methods & Applications Series. Vol. 3. Amsterdam, Gordon and Breach Publishers, 1996, 255 p.

30. Lebedev Yu.A., Lebedeva I.Yu. Happy birthday, dear fellow countryman, Shuyskie Izvestia, No. 4 (19304), 18.01.2011. (in Russian)

31. Lisovsky E.V. The stability issues of the programmed motion of nonlinear dynamical systems, Nonlinear World, 2015, Vol. 13, No. 5, pp. 54-58. (in Russian)

32. Martynyuk A.A., Kato D., Shestakov A.A. Stability of motion: the method of limit equations. Kiev. Naukova Dumka, 1990, 256 p. (in Russian)

33. Masina O.N., Druzhinina O.V. Modeling and stability analysis of some classes of control systems. Moscow, Dorodnitsyn Computing Center of RAS, 2011. (in Russian)

34. Masina O.N., Shestakov A.A. “On hybrid modeling of fuzzy systems”, in: Abstracts of the All- Russian Conference with international participation "Information and telecommunication technologies and mathematical modeling of high-tech systems". Moscow, RUDN, 2011, pp. 262-264. (in Russian)

35. Merenkov Yu.N. A systematic approach to the study of the stability of evolutionary equations, Bulletin of RUDN. Seriya "Applied Mathematics and Computer Science", 2002. (in Russian)

36. Merenkov Yu.N. Stability-like properties of differential inclusions, fuzzy and stochastic differential equations. Moscow, RUDN, 2000. (in Russian)

37. Pkhakadze A.V., Shestakov A.A. On the classification of singular points of a first-order differential equation that is not resolved with respect to the derivative, Matematicheskij Sbornik, 1959, Vol. 49 (91), No. 1, pp. 3-12. (in Russian)

38. Shestakov A.A. A criterion for uniform asymptotic stability in a non-autonomous approximation of order m> 1, Differential Equations, 1971, Vol. 7, No. 5, pp. 937-940. (in Russian)

39. Shestakov A.A. “A survey on the theory of localization of limit sets in dynamical processes by using Lyapunov functionals”, in: Colloquia Math. Soc. Janos Bolyai, Issue 47, Differential Equations: Qualitative theory, Szeged (Hungary), 1984, pp. 997-1028.

40. Shestakov A.A. Criteria for the stability of sets with respect to a non-autonomous differential system, Differential Equations, 1977, Vol. 13, No. 6, pp. 1079-1090. (in Russian)

41. Shestakov A.A. Generalized direct Lyapunov method for abstract semi-dynamic processes. III. Localization of the limit set of compact dispersed semi-dynamic processes. Applications to evolution equations, Differential Equations, 1987, Vol. 23, No. 6, pp. 923-936. (in Russian)

42. Shestakov A.A. Generalized direct Lyapunov method for systems with distributed parameters. Moscow, Nauka, 1990, 318 p. (in Russian)

43. Shestakov A.A. Generalized direct Lyapunov method for systems with distributed parameters. Moscow, URSS, 2007, 2nd ed., 320 p. (in Russian)

44. Shestakov A.A. On periodic continued fractions, Scientific Notes of Kazan State University, 1949, Vol. 109, No. 3, pp. 87-98. (in Russian)

45. Shestakov A.A. On power asymptotics of a nonautonomous homogeneous and quasihomogeneous system, Differential Equations, 1975, Vol. 11, No. 8, pp. 1427-1436. (in Russian)

46. Shestakov A.A. “On the asymptotic behavior of multidimensional systems of differential equations”, in: Scientific Notes, Vol. 7. Proceedings of the departments of higher mathematics and theoretical mechanics. Moscow, VZIIT, 1961, pp. 1-103. (in Russian)

47. Shestakov A.A. On the asymptotic behavior of solutions of a multidimensional system of differential equations having a singular point of higher order, Siberian Math. Journal, 1961, Vol. 11, No. 5, pp. 767-788. (in Russian)

48. Shestakov A.A. On the asymptotic behavior of solutions of multidimensional systems of ordinary differential equations having a singular point of higher order, DAN USSR, 1960, Vol. 121, No. 5, pp. 1038-1041. (in Russian)

49. Shestakov A.A. On the behavior of integral curves of a system of n differential equations (n > 3) near a singular point of higher order, DAN USSR, 1951, Vol. 79, No. 2, pp. 205-208. (in Russian)

50. Shestakov A.A. On the extension of the Bendixon method for a two-dimensional system to multidimensional analytical systems, Differential Equations, 1970, Vol. 6, No. 9, pp. 1708-1712. (in Russian)

51. Shestakov A.A. “On the H-extendability of polynomials: Thesis under the direction of N.G. Che- botarev”, in: Collection of student works of Kazan University named after V.I. Ulyanov-Lenin, 1941, pp. 15-24. (in Russian)

52. Shestakov A.A. On the localization of limit sets of a nonautonomous system using Lyapunov functions, Differential Equations, 1979, Vol. 15, No. 10, pp. 1909-1912. (in Russian)

53. Shestakov A.A. On the localization of the limit set of solutions of the evolution equation using Lyapunov functionals, Differential Equations, 1987, Vol. 23, No. 2, pp. 368-381. (in Russian)

54. Shestakov A.A. Power asymptotic behavior of order p <0 of solutions of a nonautonomous differential system with a singular point of higher order, Differential Equations, 1970, Vol. 6, No. 11, pp. 210-2104. (in Russian)

55. Shestakov A.A. Some theorems on instability in the sense of Lyapunov, DAN USSR, 1951, Vol. 79, No. 1, pp. 25-28. (in Russian)

56. Shestakov A.A. “Stability conditions and stabilization algorithms of intelligent controlled systems with delay”, in: Proc. of Distributed Intelligent Systems and Technologies Workshop DIST'2013, July 1-4, 2013. Saint-Petersburg, St. Petersburg State Polytechnical University, 2013, pp. 99-100.

57. Shestakov A.A. “The direct Lyapunov method as a method of localizing the Lyapunov functions of the limit sets of nonautonomous dynamic processes”, in: Lyapunov Functions and Their Application. Novosibirsk, Nauka, 1986, P. 13-48. (in Russian)

58. Shestakov A.A. Theorems on the existence of integral and critical lines of a homogeneous system of n differential equations (n > 3), UspekhiMatem. Nauk, 1959, Vol. 14, No. 1 (85), pp. 245-248. (in Russian)

59. Shestakov A.A. Theory and applications of the generalized direct Lyapunov method for abstract dynamical systems (a review of the current state of the geometric direction in the direct Lyapunov method), Differential Equations, 1982, Vol. 18, No. 12, pp. 2069-2097. (in Russian)

60. Shestakov A.A. Variational properties of solutions of linear equations in a Banach space, Vestnik RUDN, Ser. Mathematics, 1995, No. 2, pp. 90-95. (in Russian)

61. Shestakov A.A., Cherkashin Yu.M., Druzhinina O.V. Stability and durability of the movement of deterministic dynamic systems of railway transport, Transport: Science, Technology, Control, 2003, №. 12, pp. 10-15. (in Russian)

62. Shestakov A.A., Druzhinina O.V On the conditions of stability according to Zhukovsky, Bulletin of the Russian Academy of Natural Sciences. Differential Equations, 2013, Vol. 13, No. 4, pp. 8488. (in Russian)

63. Shestakov A.A., Druzhinina O.V. On the stability and strength of the trajectories of systems of autonomous differential equations, Bulletin of the Russian Academy of Natural Sciences. Differential Equations, 2011, No. 16, pp. 36-43. (in Russian)

64. Shestakov A.A., Druzhinina O.V., Masina O.N. “Development of the direct Lyapunov method for studying the stability of predicate control systems”, in: Proceedings of the X International Chetaev Conference "AnalyticalMechanics, Stability and Control". Kazan, Kazan State Technical University, 2012, Vol. 2, pp. 589-600. (in Russian)

65. Shestakov A.A., Druzhinina O.V., Masina O.N. Safety assessment of rail crews based on generalized technical and Zhukovsky stability, Transport: science, technology, control, 2014, No. 2, pp. 3-8. (in Russian)

66. Shestakov A.A., Druzhinina O.V., Romankov V.V., Petunin A.P. Discrete Mathematics. Moscow, RGOTUPS, 2004, 180 p. (in Russian)

67. Shestakov A.A., Druzhinina O.V., Schennikova E.V. On the conditions of stability of movement of a railway wheelset, NTT - Science and Technology of Transport, 2004, No. 2. pp. 68-72. (in Russian)

68. Shestakov A.A., Lisovsky E.V. “A semigroup approach to the study of the stability of certain classes of partial differential equations”, in: Problems of the dynamics of rolling stock and the stability of motion of dynamical systems. Collection of scientific papers. Moscow: VZIIT, 1990, pp. 120-125. (in Russian)

69. Shestakov A.A., Lisovsky E.V. “On the stability of linear differential equations with an unbounded operator in a Hilbert space”, in: Modern problems of control, stability and oscillations of nonlinear mechanical systems of railway transport. Interuniversity collection of scientific papers. Moscow: VZIIT, 1991, Part 1, pp. 49-54. (in Russian)

70. Shestakov A.A., Malysheva I.A., Polozkov D.P. Course of higher mathematics. Integral calculus. Differential equations Vector analysis. Textbook for students of higher technical educational institutions. Moscow, Vysshaya shkola, 1987, 320 p. (in Russian)

71. Shestakov A.A., Masina O.N., Druzhinina O.V. Analysis of asymptotic stability and stabilization of some classes of control systems with delay, Information-measuring and control systems, 2011, Vol. 9, No. 12, pp. 104-110.

72. Shestakov A.A., Merenkov Yu.N. About mathematical modeling of mathematical objects // Qualitative research and stability of mathematical models of transport dynamic systems. Interuniversity collection of scientific papers. Moscow, RGOTUPS, 2004, pp. 49-53. (in Russian)

73. Shestakov A.A., Merenkov Yu.N. Lyapunov stability and attracting sets with respect to a nonauto- nomous differential system, Differential Equations, 1979, Vol. 15, No. 5, pp. 815-827. (in Russian)

74. Shestakov A.A., Merenkov Yu.N. On the asymptotic properties of solutions of nonautonomous functional differential equations, Differential Equations, 1990, Vol. 26, No. 8, pp. 1351-1358. (in Russian)

75. Shestakov A.A., Merenkov Yu.N. On the character of a continuous dynamic flow near an invariant compact, Differential Equations, 1982, Vol. 18, No. 5, pp. 845-865. (in Russian)

76. Shestakov A.A., Polozkov D.P., Gmurman V.E. Higher mathematics. Study guide for economic specialties. Moscow, Vysshaya shkola, 1st ed., 1962, 2nd ed., 1963, 3rd ed., 1964. (in Russian)

77. Shestakov A.A., Schennikov V.N. On the asymptotic properties of a non-homogeneous linear differential equation with an unbounded operator in a Banach space, Bulletin of the University of Mordovia, 1993, No. 1, pp. 54-55. (in Russian)

78. Shestakov A.A., Stepanov A.N. Index and divergent conditions of stability of a singular point of an autonomous system of differential equations, Differential Equations, 1979, Vol. 15, No. 4, pp. 650-661. (in Russian)

79. Stepanov A.N., Shestakov A.A. “On divergent criteria for distinguishing types of singular points”, in: Some questions of the qualitative theory of differential equations. Collection of scientific papers. Saransk, Mordovian State University, 1974, pp. 10-17. (in Russian)

80. Svirina Z.S., Teryokhin M.T. “Shestakov Alexander Andreevich”, in: Encyclopedia "Mathematics of the Ryazan Land”. Materials and research on the Ryazan regional studies. Vol. 69, Bibliography, Under the general editorship of candidate of pedagogical sciences A.A. Kashaev, compiled by the author of the preface Z.S. Svirina, pp. 349-360. (in Russian)

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