Pleshivskyy Y. An operational method of solving the multipoint problem with respect to time and Cauchy problem for a polylinear system of partial differential equations.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0403U001473

Thesis Registration Form

0403U001473.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

18-04-2003

Specialized Academic Board

К 76.051.02

Essay

In the dissertation inducated by the generalized separation of variables an operational method to solving the problems with local multipoint conditions with respect to time for homogeneous and inhomogeneous polylinear system of partial differential equations is applied. Classes of univalent solvability of the problem are separated. A way of obtaining the Cauchy problem solution from multipoint problem solution on the basis of the passage to the limit under tending spacing interval between nodes in multipoint conditions to zero is indicated.

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