The differential-symbol method of solving the problem two-point in time for a nonhomogeneous partial differential equation
- Authors: Nytrebych Z.M.1, Malanchuk O.M.2
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Affiliations:
- Lviv National University “L’vivs’ka Politekhnika,”
- D. Halyts’kyi Lviv National Medical University
- Issue: Vol 227, No 1 (2017)
- Pages: 68-80
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240091
- DOI: https://doi.org/10.1007/s10958-017-3574-2
- ID: 240091
Cite item
Abstract
The solvability of the problem for a nonhomogeneous partial differential equation of the second order in time and, generally, of the infinite order in the spatial variables with local conditions two-point in time in the classes of entire functions is studied. In the case of unique solvability of the problem, a differential-symbol method of construction of its unique solution is proposed. In the case of nonunique solvability of the problem, we construct a partial solution.
About the authors
Zinovii Mykolaiovych Nytrebych
Lviv National University “L’vivs’ka Politekhnika,”
Author for correspondence.
Email: znytrebych@gmail.com
Ukraine, Lviv
Oksana Mykhailivna Malanchuk
D. Halyts’kyi Lviv National Medical University
Email: znytrebych@gmail.com
Ukraine, Lviv