Vasylyk V. FD-method for solving abstract hyperbolic equations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0400U001251

Thesis Registration Form

0400U001251.pdf

Applicant for

Specialization

  • 01.01.07 - Обчислювальна математика

21-04-2000

Specialized Academic Board

Д 26.194.01

Essay

Сonstructive representations of solutions for an abstract Goursat problem with variable bounded operator coefficient and for an abstract Cauchy problem with variable unbounded operator coefficient in Hilbert space are built. The author constructs approximate solutions of these problems and looks for a priori estimates of accuracy. The author has set conditions when solutions of the 1-st and the 2-nd order hyperbolic equations are polynoms.

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