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The differential-symbol method of constructing the quasi-polynomial solutions of two-point problem

Nytrebych Zinovii, Malanchuk Oksana

Demonstratio Mathematica

2019

Vol. 52, nr 1

88--96

The solvability of the problem with local nonhomogeneous two-point in time conditions for a homogeneous PDE of the second order in time and infinite order in spatial variable in the case when the set of zeroes of the characteristic determinant is not empty and does not coincide with C is investigated. The existence of a solution of the problem in which the right-hand sides of the two-point conditions are quasi-polynomials is proved. We propose the differential-symbol method of constructing the solutions of the problem.