Bilozerova M. Asymptotic representations of the solutions of the second order differential equations with nonlinearities in some sense near to the power type

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U005782

Thesis Registration Form

0409U005782.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

04-12-2009

Specialized Academic Board

К41.051.05

Essay

The differential equation of the second order with nonlinearities in some sense near to the power type, videlicet those are regularly varying in zero or in the infinity, is considered in the thesis. For the selected class of solutions of this equation the methods of investigations of the asymptotic representations as the argument tends to the critical point are developed for all possible types of the selected class of solutions; the necessary and sufficient conditions of their existence; the asymptotic representations of those solutions and their first derivatives are obtained.

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Files

AvtoreferatBeloserova.doc

DissertatsiaBelozerova.pdf

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