Shinkarenko V. Asymptotic representationsof solutions of differential equations of the n-th order with exponential nonlinearity

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U004224

Thesis Registration Form

0405U004224.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

28-10-2005

Specialized Academic Board

К 41.051.05

Essay

Researching of the asymptotic behaviour of the non-oscillation solutions of the ordinary differential equations of the n-th order, which contain the exponential nonlinearty in their right part. According to its asymptotic properties the set of all solutions of such equations can be divided into classes. The exact asymptotic formula are obtained for each of such solutions. The neccesary and sufficient conditions for the existance of solutions with obtained asymptotic representations are stated.

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