ON THE SOLVABILITY OF TWO-POINT IN TIME PROBLEM FOR PDE
Keywords:
Multipoint conditions, differential-symbol method, quasipolynomial solutionsAbstract
We prove that the solution of problem for homogeneous partial differential equation of the second order in time variable in which nonhomogeneous local two-point conditions are given, and infinite order in spatial variables, may not exist in the class of entire functions in the case when the characteristic determinant of the problem equals zero identically. In the case of existence of the solution of the problem, we propose the formula of finding its particular solutions.
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Copyright (c) 2017 Zinoviic Nytrebych, Oksana Malanchuk, Volodymyr Il'kiv, Petro Pukach

This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

