Turkish Journal of Mathematics
Abstract
The existence of the solution of nonhomogeneous partial differential equations (PDE) of second order in time and finite or infinite order in spatial variable with quasipolynomial right-hand side is proved. This solution satisfies the homogeneous two-point in time conditions. The differential-symbol method for constructing the solution of the problem is proposed. The examples of applying this method for solving some two-point problems for PDE are suggested.
DOI
10.3906/mat-1901-17
Keywords
Characteristic determinant of a problem, two-point in time conditions, differential-symbol method, differential-functional equation
First Page
1241
Last Page
1252
Recommended Citation
NYTREBYCH, ZINOVII; MALANCHUK, OKSANA; IL'KIV, VOLODYMYR; and PUKACH, PETRO
(2019)
"The differential-symbol method of constructing the quasipolynomial solutions of two-point in time problem for nonhomogeneous partial differential equation,"
Turkish Journal of Mathematics: Vol. 43:
No.
3, Article 13.
https://doi.org/10.3906/mat-1901-17
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss3/13