Feketa P. Integral sets of differential equations and their stability

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U003156

Thesis Registration Form

0411U003156.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

18-04-2011

Specialized Academic Board

Д 26.001.37

Taras Shevchenko National University of Kyiv

Essay

The thesis is concerned with establishment of the sufficient conditions for the existence and asymptotic stability of invariant sets of impulsive system of differential equations defined in direct product of torus and Euclidean space.The general problems of the theory of existence and stability of invariant sets of linear and weakly nonlinear extensions of dynamical systems on torus with impulsive perturbations are considered. Some particular calsses of systems that satisfy conditions for the existence of invariant sets are distinguished.

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Files

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