Kharkov V. Asymptotic representations of solutions of essential nonlinear differential and difference second order equations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U005783

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

04-12-2009

Specialized Academic Board

К41.051.05

Essay

Thesis is devoted to the investigation of asymptotic properties of solutions of essential nonlinear second order differential equations with nonlinearities which are either rapid or proper various functions if the argument tends to the singular point; and asymptotic behaviors of Emden-Fowler difference equation are established too. The general enough sets of solutions are considered for these types of equations. The necessary and sufficient conditions for its existence and their asymptotic representations are established in the thesis.

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