Plotnikova N. Impulsive differential equations with multi - valued and discontinuous right - hand side

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U000964

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

27-02-2006

Specialized Academic Board

Д26.001.37

Essay

For linear impulsive differential inclusions the existence of solutions is proved; the conditions of stability and periodicity of solutions are obtained; the approximation of attainability sets is obtained with the help of systems of equations with Hukuhara derivative and pi- derivative. In nonlinear case the analogue of Krasnoselskij - Krein theorem is proved. For impulsive differential equations with discontinuous right-hand side the theorems relating to the properties of quasimotions bundles are obtained.

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