Pylypiuk T. Boundary-value problems for evolution equations of parabolic type in piecewise homogeneous media with soft borders

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0415U002558

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

22-05-2015

Specialized Academic Board

К 76.051.02

Essay

The thesis is devoted to the construction of integral representations of exact solutions of boundary value problems for evolution equations of parabolic type in piecewise homogeneous media with soft borders. In this study the problem of mixed parabolic coupling in piecewise homogeneous segments and piecewise uniform polar axes with two points coupling and soft limits. Theorems of existence, uniqueness and integral representation of solutions of the considered mixed problems are proved. New classes of hybrid integral transforms are constructed.

Files

Similar theses