Zavorotynskyi A. Parameter-elliptic boundary-value problems with unknown additional functions on the boundary of a domain

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0416U005285

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

13-09-2016

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

In the thesis, we introduce and investigate two new classes of parameter-dependent elliptic boundary-value problems. They are featured by the presence of unknown additional functions in the boundary conditions. We introduce and investigate a class of boundary-value problems that are elliptic with a small parameter and contain unknown additional functions on the boundary of a Euclidean domain. We also introduce and investigate a class of weakly parameter-elliptic boundary-value problems with unknown additional functions on the boundary of the domain.

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