Stehun A. Asymptotic representations of solutions of nonlinear differential equations of the third order

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0421U100624

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

26-02-2021

Specialized Academic Board

К 41.051.05

Odessa I. I. Mechnikov National University

Essay

For essentially nonlinear differential equation of the third order and fothe differential equation, that is in some sense near to linear equation two distinct approaches were first constructed to study the asymptotic behavior of all types of a sufficiently wide class of solutions, and asymptotic representations for such solutions and their derivatives to the second order as the argument tends tothe critical point, were found. The existence of such solutions was also proved.

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