Differential-symbol method of constructing the quasipolynomial solutions of a two-point problem for a partial differential equation
- Autores: Nytrebych Z.1, Il’kiv V.1, Pukach P.1, Malanchuk O.2
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Afiliações:
- Lviv Polytechnic National University
- D. Halyts’kyi Lviv National Medical University Lviv
- Edição: Volume 239, Nº 1 (2019)
- Páginas: 62-74
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242626
- DOI: https://doi.org/10.1007/s10958-019-04288-9
- ID: 242626
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Resumo
We studied the solvability of a problem with local inhomogeneous conditions two-point in time for a homogeneous differential equation which is second-order in time and has generally the infinite order in spatial variables in the case where the set of zeros of the characteristic determinant of the problem is not empty and does not coincide with ℂs: The existence of a solution of the problem under the condition that the right-hand sides of the two-point conditions are quasipolynomials is proved. A differential-symbol method of constructing a solution of the problem is proposed.
Sobre autores
Zinovii Nytrebych
Lviv Polytechnic National University
Autor responsável pela correspondência
Email: znytrebych@gmail.com
Ucrânia, Lviv
Volodymyr Il’kiv
Lviv Polytechnic National University
Email: znytrebych@gmail.com
Ucrânia, Lviv
Petro Pukach
Lviv Polytechnic National University
Email: znytrebych@gmail.com
Ucrânia, Lviv
Oksana Malanchuk
D. Halyts’kyi Lviv National Medical University Lviv
Email: znytrebych@gmail.com
Ucrânia, Lviv