Kirillova L. Asymptotic representations of solutions of nonlinear non-autonomous differential equations second order, which are asymptotically similar to Emden-Fowler equations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U004267

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

26-06-2009

Specialized Academic Board

К 41.051.05

Essay

Nonlinear binomial non-autonomous ordinary differential equations of second order in a certain sense close to equations of Emden-Fowler type are considered. The enough general class monotonous solutions is considered for such equations. This class consists from four disjoines sets. The necessary and sufficient conditions of existence and exact asymptotic representations of solutions from every such subset are proved.

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