Kodliuk T. One-dimensional boundary value problems with a parameter in Sobolev spaces

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0413U002880

Thesis Registration Form

0413U002880.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

21-05-2013

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

The thesis investigates the conditions of the continuous dependence on the parameter solutions of the most common in Sobolev spaces boundary value problems for systems of linear differential equations in the uniform norm and the norm of the Sobolev spaces, as well as their respective Green's matrix in the Lebeg norm. The sufficient conditions for the Green matrices of general boundary value problems to converge uniformly to the Green matrix of the limit boundary value problem are found. The results obtained were used for the scalar linear differential equations of the higher order.

Read more

Files

dis_Main.pdf

Автореф.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