The differential-symbol method of constructing the quasipolynomial solutions of two-point in time problem for nonhomogeneous partial differential equation

Authors

ZINOVII NYTREBYCH
OKSANA MALANCHUK
VOLODYMYR IL'KIV
PETRO PUKACH

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