Petryshyn Y. Averaging of multidot problems for nonlinear oscillating systems with slowly changeable frequencies

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0401U003327

Thesis Registration Form

0401U003327.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

11-12-2001

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

Sufficient conditions for the possibility of solving multidot problems for the oscillating systems with almost periodic right parts with respect to fast variables and frequencies depending on slow variables have been found. The quantitative dependence of the error of a method of averaging depending on the size of small parameter has also been established. New theorems of existence and uniqueness of solutions of boundary value problems with parameters and multidot and integral boundary conditions for oscillating systems, frequencies of which depend on "slow time", have been proved.

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