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.
Characteristic determinant of a problem, two-point in time conditions, differential-symbol method, differential-functional equation
NYTREBYCH, ZINOVII; MALANCHUK, OKSANA; IL'KIV, VOLODYMYR; and PUKACH, PETRO
"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:
3, Article 13.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss3/13