Kasyanova V. Asymptotic presentation of solutions of second order usual nonautonomous differential equations with nonlinearities asymptotically close to those of power type

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U006834

Thesis Registration Form

0411U006834.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

28-10-2011

Specialized Academic Board

К41.051.05

Essay

The differential equation of the second order with nonlinearities asymptotically close to those of power type, videlicent those are regulary varying in zero or in the infinity, is considered in the tesis. For the selected class of solutions of this equation the methods of investigations of the asymptotic representations 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.

Read more

Files

aref.doc

dis.pdf

Similar theses

0521U102074

Golovaty Yuriy Danylovch

Singularly perturbed differential operators in models of quantum mechanics

0521U101590

Medynsky Ihor Pavlovych

Fundamental solutions of the Cauchy problem for degenerate parabolic equations

0421U102084

Heseleva Kateryna H.

Collocation-Iterative Method for Solving Integro-Functional Equations

0421U102060

Skutar Ihor D.

Asymptotic integration of systems of differential equations with a small parameter at some derivatives.

0421U101723

Myslo Yuliia M.

Asymptotically almost periodic solutions of differential equations with delay and impulses