Dudnytskyy P. Asymptotic methods of multifrequency systems with impulse influence investigation

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U003913

Thesis Registration Form

0409U003913.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

30-10-2009

Specialized Academic Board

К76.051.02

Essay

The aim of this thesis is to discover multifrequency impulse systems with impulse influence in fixed time moments. The new estimates for the averaging method in case when frequency was established. Sufficient conditions of solutions existence multipoint multifrequency problem for oscillating equation was found. Theorems about asymptotic and conditional asymptotic stability for integral manifold of multifrequency system differential equations with impulse influence in fixed time moments was prowed. Equation decomposition of angle and positional variables in asymptotic stable manifold's neighborhood of multifrequency system was made.

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Files

Autoref.pdf

disser.pdf

dodatok.doc

titul.doc

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