Tymkiv I. Multipoint problems for linear parabolic equations with variable coefficients

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0417U002003

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

21-04-2017

Specialized Academic Board

Д 35.051.07

Ivan Franko National University of Lviv

Essay

The thesis deals with the research of the problems with local multipoint conditions on time variable and certain conditions in the other variables (conditions of periodicity, conditions of Dirichlet type) for linear parabolic equations and systems of equations with variable coefficients. А criterion for the unique solvability of these problems and а sufficient conditions for the existence of its solutions are established. Explicit formulas for solutions of considered problems are constructed. To solve the problem of small denominators arising in the construction of solutions of the posed problem the metric approach is used.

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