Turkish Journal of Mathematics
DOI
10.3906/mat-1903-111
Abstract
An integral-boundary value problem for a hyperbolic partial differential equation in two independent variables is considered. By introducing additional functional parameters, we investigate the solvability of the problem and develop an algorithm for finding its approximate solutions. The problem is reduced to an equivalent one, consisting of the Goursat problem for a hyperbolic equation with parameters and boundary value problems with an integral condition for ODEs with respect to the parameters entered. We propose an algorithm to find an approximate solution to the original problem, which is based on the algorithm for finding a solution to the equivalent problem. The convergence of the algorithms is proved. A coefficient criterion for the unique solvability of the integral-boundary value problem is established.
Keywords
Hyperbolic equation of second order, integral-boundary value problem, parameter, algorithm, approximate solution
First Page
1967
Last Page
1978
Recommended Citation
ASSANOVA, ANAR
(2019)
"An integral-boundary value problem for a partial differential equation of second order,"
Turkish Journal of Mathematics: Vol. 43:
No.
4, Article 12.
https://doi.org/10.3906/mat-1903-111
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss4/12
