Kusick L. Asymptotic representations for solutions of nonlinear differential equations of second order

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0416U005452

Thesis Registration Form

0416U005452.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

07-10-2016

Specialized Academic Board

K 41.051.05

Essay

For second-order equations of General form, which in some sense equivalent to the two-term equation with regularly varying nonlinearities, are established conditions of existence and asymptotic representations of the studied solutions of the equations and their first-order derivatives in a neighborhood of a singular point. Clarified the number of solutions with obtained asymptotics. Studied one class of singular solutions. The obtained results of thesis are illustrated on a new class equation which not been studied previously.

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