Kohut I. Differential-Symbol Method of Solving the Problems with Nonlocal Boundary Conditions for Partial Differential Equations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U001580

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

22-03-2007

Specialized Academic Board

К 35.051.07

Essay

We specify the existence and uniqueness classes for the solutions of the problems with nonlocal boundary value conditions in time variable for PDE and their systems of the first order in time variable and infinite order in spatial variables, with constant coefficients. We construct the solution of the problems in explicit form, as well as investigate the problems' kernels in the classes of quasi-polynomials. We have developed the algorithm of constructing the particular solutions of the problems in the class of non-uniqueness.

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