- Turkish Journal of Mathematics
- Vol: 43 Issue: 3
- The differential-symbol method of constructing the quasipolynomial solutions of two-point in time pr...
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
Pages : 1241-1252
View : 8 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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