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.

Keywords: Characteristic determinant of a problem, two-point in time conditions, differential-symbol method, differential-functional equation

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