Kozma A. Asymptotic representations of solutions of differential equations of the second order with regularly varying relative to unknown function and its derivative of the first order nonlinearities

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0413U002623

Thesis Registration Form

0413U002623.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

05-04-2013

Specialized Academic Board

К 41.051.05

Essay

We consider the ordinary differential equation of the second order containing in the right-hand side the sum of nonlinearities correctly varying concerning unknown function and its derivative. Necessary and sufficient conditions of existence of a wide class of monotone solutions, and exact asymptotic representations of solutions from the qiven class in neighborhood of a singular point are established

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