Vashchuk P. Asymptotic analysis of elliptic boundary-value problems with alternated boundary conditions in thick multi-level junctions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U005257

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

24-11-2008

Specialized Academic Board

Д 26.001.37

Taras Shevchenko National University of Kyiv

Essay

The thesis deals with development of asymtotic methods for solving of boundary-value problems in thick multi-level junctions with quickly varying type of boundary conditions. We study asymptotic behavior of the solutions of mixed boundary-value problems in multy-level junctions with quickly alternating type of boundary conditions. Here we prove the convergence theorem and the convergence of the energy integrals, we construct the asymptotic approximation for the solutions and prove the corresponding estimates for the solutions of these problems.

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