Drozhzhyna A. Asymptotic behavior of solutions of nonlinear nonautonomous ordinary differential equations of the n-th order

Українська версія

Thesis for the degree of Doctor of Philosophy (PhD)

State registration number

0821U100620

Applicant for

Specialization

  • 111 - Математика та статистика. Математика

19-03-2021

Specialized Academic Board

ДФ 41.051.006

Odessa I. I. Mechnikov National University

Essay

The necessary and sufficient conditions of the existence of sufficiently wide class of solutions of essential nonlinear nonautonomous ordinary differential equations of the n-th order were obtained. The asymptotic representations as the argument tends to the critical point were found for such solutions and their derivatives to the n-1-th order.

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