Shebanina O. Asymptotic representations of solutions of differential equations of the n-th order with nonlinearity of Emden-Fowler type.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0499U002508

Thesis Registration Form

0499U002508.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

01-10-1999

Specialized Academic Board

K 41.051.05

Essay

The thesis deals with the research of the asymptotic behaviour of the P-solutions of the ordinary differential equations of the n-th order, which contain the sum of the addents with the nonlinearties of Emden-Fowler type in their right part. The exact asymptotic formula are obtained for each of n+2 different clases P- solutions of such equations. The neccesary and sufficient conditions for the existance of such P-solutions are stated.

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