Sharko Y. Discrete conditions of Lyapunov stability and impulsive systems.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U004105

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

23-06-2011

Specialized Academic Board

Д 26.001.37

Taras Shevchenko National University of Kyiv

Essay

The dissertation is devoted to the topics related to the qualitative investigations of the behavior of solutions of systems of differential equations. It was obtained the series of results on the establishment of conditions of stabilityv and asymptotic stability by Lapunov for the system of autonomous differential equations . It was studied the dynamical sytems with implusive action on a domain of Euclidean space and on a manifold. It was given the conditions for existence of pseudoclosed trajectories at such sytems.

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