Limanska D. The research of the solutions' behavior of some semi-explicit systems of ordinary differential equations around the fixed singular point

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0420U102474

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

18-12-2020

Specialized Academic Board

К 41.051.05

Odessa II Mechnikov National University

Essay

The sufficient conditions have been found under that the system, that is is not solved relatively to derivatives, is reduced to the specific system, that is partially solved relatively to derivatives. The method of investigation of the asymptotic behavior around a fixed singular point of solutions of systems, that are partially solved relatively to derivatives, is constructed. The found theoretical results were used by the investigation of mathematical models of changes of speed of productive volumes for legal and illegal economics.

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