Anatoly A. Martynyuk

Articles in Scholarly Journals [Incomplete List]

  1. Stability of a set of trajectories of nonlinear dynamics
    Doklady Mathematics, vol. 75, no. 3, pp. 385–389, 2007
  2. On the polydynamics of nonlinear systems on a time scale
    Doklady Mathematics, vol. 75, no. 3, pp. 411–414, 2007
  3. On the global existence of solutions of fuzzy differential equations
    Differential Equations, vol. 42, no. 10, pp. 1391–1403, 2006
  4. On the theory of Lyapunov’s direct method
    Doklady Mathematics, vol. 73, no. 3, pp. 376–379, 2006
  5. On oscillations of a frictional pendulum
    International Applied Mechanics, vol. 42, no. 2, pp. 214–220, 2006
  6. Complex Oscillations Revisited
    International Applied Mechanics, vol. 41, no. 2, pp. 179–186, 2005
  7. Complex Behavior of a Trajectory in Single- and Double-Frequency Systems
    International Applied Mechanics, vol. 41, no. 3, pp. 315–323, 2005
  8. Nonlinear Oscillations in a System with Dry Friction
    International Applied Mechanics, vol. 41, no. 4, pp. 435–440, 2005
  9. On the boundedness of motions of mechanical systems described by fuzzy ordinary differential equations
    International Applied Mechanics, vol. 41, no. 12, pp. 1407–1412, 2005
  10. Stability analysis by comparison technique
    Nonlinear Analysis, vol. 62, no. 4, pp. 629–641, 2005
  11. Matrix-valued functionals approach for stability analysis of functional differential equations
    Nonlinear Analysis, vol. 56, no. 6, pp. 793–802, 2004
  12. Stability of a Nonlinear Impulsive System
    International Applied Mechanics, vol. 40, no. 2, pp. 231–239, 2004
  13. Block-Diagonal Matrix-Valued Lyapunov Function and Stability of an Uncertain Impulsive System
    International Applied Mechanics, vol. 40, no. 3, pp. 322–327, 2004
  14. Studying the Complex Oscillations of a Star in the Field of a Galaxy
    International Applied Mechanics, vol. 40, no. 4, pp. 453–461, 2004
  15. A Note on Bifurcations of Motions in the Lorentz System
    International Applied Mechanics, vol. 39, no. 2, pp. 224–231, 2003
  16. A Note on the Theory of Stability of Impulsive Systems with Structural Perturbations
    International Applied Mechanics, vol. 39, no. 3, pp. 350–355, 2003
  17. Stability of Singularly Perturbed Systems with Structural Perturbations. General Theory
    International Applied Mechanics, vol. 39, no. 4, pp. 375–401, 2003
  18. Saddle Limit Cycles in the Lorentz System
    International Applied Mechanics, vol. 39, no. 5, pp. 613–620, 2003
  19. Stability of Singularly Perturbed Systems with Structural Perturbations. Some Applications
    International Applied Mechanics, vol. 39, no. 8, pp. 875–894, 2003
  20. On the Stability of Motion of a Large-Scale System
    Differential Equations, vol. 39, no. 6, pp. 791–796, 2003
  21. Choosing the Parameters of a Mechanical System with Interval Stability
    International Applied Mechanics, vol. 39, no. 9, pp. 1089–1092, 2003
  22. International Applied Mechanics, vol. 38, no. 1, pp. 81–89, 2002
  23. International Applied Mechanics, vol. 38, no. 2, pp. 231–239, 2002
  24. International Applied Mechanics, vol. 38, no. 4, pp. 489–497, 2002
  25. International Applied Mechanics, vol. 38, no. 5, pp. 628–634, 2002
  26. International Applied Mechanics, vol. 38, no. 7, pp. 783–805, 2002
  27. International Applied Mechanics, vol. 38, no. 8, pp. 1017–1023, 2002
  28. International Applied Mechanics, vol. 38, no. 9, pp. 1138–1144, 2002
  29. Differential Equations, vol. 37, no. 3, pp. 313–319, 2001
  30. International Applied Mechanics, vol. 37, no. 3, pp. 407–413, 2001
  31. International Applied Mechanics, vol. 37, no. 8, pp. 1083–1088, 2001
  32. International Applied Mechanics, vol. 37, no. 9, pp. 1142–1157, 2001
  33. International Applied Mechanics, vol. 37, no. 10, pp. 1341–1351, 2001
  34. International Applied Mechanics, vol. 37, no. 12, pp. 1612–1617, 2001
  35. A survey of some classical and modern developments of stability theory
    Nonlinear Analysis, vol. 40, no. 1-8, pp. 483–496, 2000
  36. International Applied Mechanics, vol. 36, no. 9, pp. 1252–1258, 2000
  37. The theory of stability of an orbiting observatory with gyroscopic stabilization of motion
    International Applied Mechanics, vol. 36, no. 5, pp. 682–690, 2000
  38. Stability analysis of discrete systems
    International Applied Mechanics, vol. 36, no. 7, pp. 835–865, 2000
  39. Method of analyzing irregular motions
    International Applied Mechanics, vol. 35, no. 8, pp. 838–845, 1999
  40. Stability analysis of linear impulsive differential systems under structural perturbation
    Ukrainian Mathematical Journal, vol. 51, no. 6, pp. 784–795, 1999
  41. ??????????? ????????????? ????????? ????????????? ???? ???????? ????????? ?????????????? ????
    Ukrainian Mathematical Journal, vol. 51, no. 2, pp. 224–233, 1999
  42. Stability analysis with respect to two measures of impulsive systems under structural perturbations
    Ukrainian Mathematical Journal, vol. 51, no. 11, pp. 1476–1484, 1999
  43. On the coherent practical motion stability of systems with a delay
    International Applied Mechanics, vol. 35, no. 1, pp. 87–92, 1999
  44. ?????? ? ???????? ?????? ?? ?????????? ?????? ??? ?????????? ???????????? ???????
    Ukrainian Mathematical Journal, vol. 49, no. 1, pp. 84–97, 1997
  45. Analytical construction of the hierarchical matrix lyapunov function for impulse systems
    Ukrainian Mathematical Journal, vol. 49, no. 4, pp. 548–557, 1997
  46. Toward an analytic dynamics for control systems
    International Applied Mechanics, vol. 32, no. 9, pp. 734–742, 1996
  47. Periodic motion in multidimensional systems
    International Applied Mechanics, vol. 32, no. 2, pp. 147–153, 1996
  48. Forms of aggregation of nonlinear systems. Domains of asymptotic stability (Review)
    International Applied Mechanics, vol. 32, no. 4, pp. 241–255, 1996
  49. Forms of aggregation in the study of the stability of motion of large-scale systems. Criteria of stability (review)
    International Applied Mechanics, vol. 31, no. 9, pp. 683–694, 1995
  50. Theory of the absolute stability of time-dependent systems
    International Applied Mechanics, vol. 31, no. 10, pp. 847–851, 1995
  51. Stability analysis with respect to two measures for population growth models of Kolmogorov type
    Nonlinear Analysis, vol. 25, no. 11, pp. 1221–1230, 1995
  52. Construction of Hierarchical Matrix Lyapunov Functions
    Journal of Mathematical Analysis and Applications, vol. 185, no. 1, pp. 129–145, 1994
  53. Matrix method of comparison in the theory of the stability of motion
    International Applied Mechanics, vol. 29, no. 10, pp. 861–867, 1993
  54. Development of the direct Lyapunov method for delay systems (survey)
    International Applied Mechanics, vol. 29, no. 2, pp. 83–96, 1993
  55. Hierarchical method for the construction of Lyapunov functions in the theory of stability of unperturbed motion
    International Applied Mechanics, vol. 29, no. 5, pp. 399–405, 1993
  56. Lyapunov's direct method in stability theory (review)
    International Applied Mechanics, vol. 28, no. 3, pp. 135–144, 1992
  57. Limiting equations and stability of non-stationary motions
    Journal of Mathematical Analysis and Applications, vol. 133, no. 1, pp. 101–108, 1988
  58. Uniform asymptotic stability of a singularly perturbed system via the Lyapunov matrix-function
    Nonlinear Analysis, vol. 11, no. 1, pp. 1–4, 1987
  59. Stochastic matrix-valued lyapunove function and its application
    Stochastic Analysis and Applications, vol. 5, no. 4, pp. 395–404, 1987
  60. The Lyapunov matrix-function and stability of hybrid systems
    Nonlinear Analysis, vol. 10, no. 12, pp. 1449–1457, 1986
  61. On application of the Lyapunov matrix-functions in the theory of stability
    Nonlinear Analysis, vol. 9, no. 12, pp. 1495–1501, 1985
  62. The Lyapunov matrix-function
    Nonlinear Analysis, vol. 8, no. 10, pp. 1223–1226, 1984
  63. Some problems in the comparison method in nonlinear mechanics
    Ukrainian Mathematical Journal, vol. 30, no. 6, pp. 621–626, 1979
  64. An iteration formula for Lyapunov-function construction
    Ukrainian Mathematical Journal, vol. 24, no. 2, pp. 211–216, 1973
  65. Polynomial approximations of the solutions of nonlinear equations
    Ukrainian Mathematical Journal, vol. 22, no. 4, pp. 480–485, 1971
  66. On a rapidly converging iterational process for solving diffential equations and some of its applications
    Ukrainian Mathematical Journal, vol. 22, no. 6, pp. 632–645, 1971
  67. Sufficient conditions for stability in a finite system with delay
    Ukrainian Mathematical Journal, vol. 21, no. 3, pp. 337–342, 1970
  68. Construction of approximate solutions of denumerable systems and their stability
    Ukrainian Mathematical Journal, vol. 21, no. 5, pp. 591–595, 1969