Gladilina R. Lyapunov functions method in stability problems of solutions of differential equations with impulse effect

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U004176

Thesis Registration Form

0405U004176.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

19-10-2005

Specialized Academic Board

Д 11.193.01

Essay

Тhе dissertation is devoted to investigation the stability problems of differential systems with impulse effect by means of Lyapunov's second method. Using piecewise continuous functions the basic theorems of Lyapunov's direct method were generalized for the problem of partial stability of impulsive systems. Direct and converse theorems of uniform asymptotic stability invariant sets were proved. For perturbed impulsive systems sufficient criteria of uniform asymptotic stability invariant sets were obtained. For periodic impulsive systems the theorem of asymptotic stability was proved.

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