Klopot A. Asymptotic representations for solutions of differential equations of n-th order with regularly varying nonlinearities

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0415U005560

Thesis Registration Form

0415U005560.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

25-09-2015

Specialized Academic Board

К 41.051.05

Essay

For differential equations of the n-th order, that contains sum of addends with regularly varying nonlinearities, the conditions for the existence of all possible types of solutions are established. The asymptotic representations for such solutions and their derivatives of order up to n-1 inclusive are alos obtained. The question of the existence and asymptotic behavior of singular solutions is studied. The obtained results are illustrated on the important class of differential equations with regularly varying coefficients.

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