Zakhariychenko Y. Methods of investigation of the boundary problem for impulse systems of differential equations with parameters and restrictions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U000749

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

17-02-2004

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

The thesis is devoted an investigation of a boundary problem for systems of differential equations with an impulse effect at fixed moments of time and with parameters and additional terms. Iterative and projective-iterative methods are applied for approximate solving linear problem. Sufficient conditions of convergence and estimates of errors are received for suggested methods. Iterative and modified projective-iterative methods are applied for solving nonlinear impulse problem. The methods are justified and convenient calculating schemes are built.

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