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Bobylev Nikolai Antonovich

Publications in Math-Net.Ru

  1. An approximation scheme for defining the Conley index of isolated critical points

    Differ. Uravn., 40:11 (2004),  1462–1467
  2. On piecewise-smooth homeomorphic mappings of bounded domains and its applications to the theory of grids

    Zh. Vychisl. Mat. Mat. Fiz., 43:6 (2003),  808–817
  3. Forced Oscillations in Systems with $Arg\min$ Type Operators

    Avtomat. i Telemekh., 2002, no. 11,  13–23
  4. Large-Dimensional Mathematical Programming Problems: A Solution Approach

    Avtomat. i Telemekh., 2002, no. 2,  174–178
  5. On the Stability of Families of Dynamical Systems

    Differ. Uravn., 38:4 (2002),  447–452
  6. Estimates of the Real Structured Radius of Stability of Linear Dynamic Systems

    Avtomat. i Telemekh., 2001, no. 4,  3–10
  7. An Approach to Variational Problems

    Differ. Uravn., 37:11 (2001),  1453–1461
  8. On the positive-definiteness of interval families of symmetric matrices

    Avtomat. i Telemekh., 2000, no. 8,  5–10
  9. Estimation of the real stability radius of linear infinite-dimensional discrete systems

    Avtomat. i Telemekh., 1999, no. 7,  3–10
  10. Robust stability of linear infinite-dimensional systems

    Avtomat. i Telemekh., 1999, no. 5,  32–44
  11. Attractors of an ensemble of dynamical systems

    Avtomat. i Telemekh., 1999, no. 2,  3–11
  12. Attractors of controlled systems

    Differ. Uravn., 35:5 (1999),  617–622
  13. The Helly theorem for star-shaped sets

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 68 (1999),  16–26
  14. Some remarks on star-shaped sets

    Mat. Zametki, 65:4 (1999),  511–519
  15. On the robust stability of linear discrete systems

    Avtomat. i Telemekh., 1998, no. 8,  138–145
  16. Estimates for perturbations of stable matrices

    Avtomat. i Telemekh., 1998, no. 4,  15–24
  17. Gradient methods in problems with continua of extremals

    Differ. Uravn., 34:3 (1998),  342–347
  18. On Certain Properties of Mathematical Model of Neural Networks

    Avtomat. i Telemekh., 1997, no. 3,  179–189
  19. Gradient procedures in problems with nonisolated extremals

    Dokl. Akad. Nauk, 354:1 (1997),  11–13
  20. On a property of stable systems

    Differ. Uravn., 33:11 (1997),  1470–1473
  21. A Homotopic Method of Studying Multivalued Problems

    Avtomat. i Telemekh., 1996, no. 10,  168–178
  22. Limit cycles of autonomous systems

    Dokl. Akad. Nauk, 348:5 (1996),  583–586
  23. An iterative algorithm for the approximate construction of cycles of autonomous systems

    Differ. Uravn., 32:3 (1996),  301–306
  24. On a scheme for studying cycles of nonlinear systems

    Differ. Uravn., 32:1 (1996),  3–8
  25. Several remarks on homeomorphic mappings

    Mat. Zametki, 60:4 (1996),  593–596
  26. The method of projection of the gradient in problems of infinite-dimensional optimization

    Avtomat. i Telemekh., 1995, no. 5,  19–33
  27. Gradient methods in infinite-dimensional problems

    Differ. Uravn., 31:10 (1995),  1701–1707
  28. On a theorem of Helly

    Mat. Zametki, 58:6 (1995),  818–827
  29. Approximate procedures for constructing oscillatory regimes

    Avtomat. i Telemekh., 1994, no. 9,  23–33
  30. Poincaré's index in problems of control and optimization

    Avtomat. i Telemekh., 1994, no. 2,  32–38
  31. Investigation Scheme for Extremals of Multidimensional Variational Problems

    Funktsional. Anal. i Prilozhen., 28:4 (1994),  1–15
  32. On the stability of integral manifolds of dynamical systems

    Avtomat. i Telemekh., 1993, no. 10,  59–67
  33. Error estimation for the harmonic balance method

    Avtomat. i Telemekh., 1992, no. 6,  3–12
  34. Control algorithms with a minimal number of switchings

    Avtomat. i Telemekh., 1992, no. 5,  3–10
  35. A deformation method for studying nonsmooth optimization problems

    Avtomat. i Telemekh., 1991, no. 5,  46–57
  36. Error estimates for the harmonic balance method

    Dokl. Akad. Nauk SSSR, 320:3 (1991),  572–576
  37. Morse lemmas for integral functionals

    Dokl. Akad. Nauk SSSR, 317:2 (1991),  267–270
  38. Morse lemma for functionals of variational calculus

    Funktsional. Anal. i Prilozhen., 25:3 (1991),  1–11
  39. The Helly intersection theorem

    Mat. Zametki, 50:4 (1991),  28–32
  40. Bifurcation of extremals of variational problems

    Dokl. Akad. Nauk SSSR, 314:2 (1990),  265–268
  41. The continuation method in the problem of the approximate construction of solutions of infinite-dimensional optimization problems

    Dokl. Akad. Nauk SSSR, 312:3 (1990),  550–554
  42. A deformational approach то investigation of nonlinear programming problems. II

    Avtomat. i Telemekh., 1989, no. 8,  24–33
  43. A deformational method of studying nonlinear programming problems. I

    Avtomat. i Telemekh., 1989, no. 7,  82–90
  44. Stability of periodic oscillations and the possibility of obtaining them by the method of harmonic balance

    Avtomat. i Telemekh., 1989, no. 5,  179–181
  45. Normal deformations of variational problems

    Dokl. Akad. Nauk SSSR, 307:4 (1989),  785–788
  46. A characteristic of extremals of variational problems

    Dokl. Akad. Nauk SSSR, 292:3 (1987),  521–524
  47. Topological index of extremals of multidimensional variational problems

    Funktsional. Anal. i Prilozhen., 20:2 (1986),  8–13
  48. The gradient method in problems of infinite-dimensional optimization

    Avtomat. i Telemekh., 1985, no. 12,  34–42
  49. Topological characteristics of optimal controls

    Avtomat. i Telemekh., 1985, no. 7,  64–72
  50. Stability of classical solutions of variational problems of mathematical physics

    Sibirsk. Mat. Zh., 26:4 (1985),  11–21
  51. On the method of harmonic balance in the autooscillation problem

    Avtomat. i Telemekh., 1984, no. 9,  44–51
  52. On the approximate construction of self-oscillatory regimes in automatic control systems

    Dokl. Akad. Nauk SSSR, 272:2 (1983),  267–271
  53. Deformation of functionals having a unique critical point

    Mat. Zametki, 34:3 (1983),  387–398
  54. On the deformation method for studies of performance functionals in systems with an infinite number of degrees of freedom

    Avtomat. i Telemekh., 1981, no. 7,  11–18
  55. On one tool to study the stability of gradient systems

    Avtomat. i Telemekh., 1980, no. 8,  33–35
  56. On a problem of Ulam

    Dokl. Akad. Nauk SSSR, 255:6 (1980),  1292–1295
  57. On Lyapunov functions and global extremum problems

    Avtomat. i Telemekh., 1979, no. 11,  5–9
  58. On a scheme for studying degenerate extremals of functionals in the classical calculus of variations

    Dokl. Akad. Nauk SSSR, 240:3 (1978),  530–533
  59. Generalized Ljapunov systems

    Dokl. Akad. Nauk SSSR, 239:5 (1978),  1021–1024
  60. A priori estimates of the solutions of a two-point boundary value problem

    Differ. Uravn., 13:3 (1977),  398–405
  61. On the necessary extremum condition for variation calculus functionals

    Avtomat. i Telemekh., 1976, no. 2,  186–187
  62. The two-point boundary value problem

    Differ. Uravn., 11:12 (1975),  2121–2133
  63. A certain boundary value problem

    Differ. Uravn., 10:7 (1974),  1155–1159
  64. Operators with continua of fixed points

    Dokl. Akad. Nauk SSSR, 205:5 (1972),  1015–1018
  65. The method of mechanical quadratures in the problem of periodic solutions

    Uspekhi Mat. Nauk, 27:4(166) (1972),  203–204
  66. On the theory of factormethods for approximate solution of nonlinear problems

    Dokl. Akad. Nauk SSSR, 199:1 (1971),  9–12
  67. A functionalization of the parameter and a theorem of relatedness for autonomous systems

    Differ. Uravn., 6:11 (1970),  1946–1952
  68. The construction of regular direction functions

    Dokl. Akad. Nauk SSSR, 183:2 (1968),  265–266

  69. Stanislav Vasil'evich Emel'yanov (on the occasion of his seventieth birthday)

    Differ. Uravn., 35:5 (1999),  579–589
  70. Memory of M. A. Krasnosel'skii

    Avtomat. i Telemekh., 1998, no. 2,  179–184
  71. Mark Aleksandrovich Krasnosel'skii (obituary)

    Uspekhi Mat. Nauk, 53:1(319) (1998),  199–201
  72. Mark Aleksandrovich Krasnosel'skij (on the occasion of his seventy-fifth birthday)

    Avtomat. i Telemekh., 1995, no. 11,  4–6
  73. Mark Alexandrovich Krasnosel'skii (on his seventieth birthday)

    Uspekhi Mat. Nauk, 45:2(272) (1990),  225–227
  74. Mark Aleksandrovich Krasnosel'skii (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 36:2(218) (1981),  215–220


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