Ratushniak V. The Cauchy problem for parabolic equations with pseudodifferential operators of infinite order

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U001655

Thesis Registration Form

0409U001655.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

27-03-2009

Specialized Academic Board

К76.051.02

Essay

The dissertation thesis is devoted to the development of the theory of the Cauchy problem for the evolutionary equations with pseudodifferential operators of infinite order in classes of the initial conditions, which are generalized functions of distribution and ultra-distribution type, while spaces of main and generalized functions are described, conditions of the Fourier transforms convolutions, convolutors and multiplicators are studied in these spaces, the conditions of fundamental solution are researched.

Read more

Files

aref1.doc

ratushn_disser.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