ON THE SOLVABILITY OF TWO-POINT IN TIME PROBLEM FOR PDE

Authors

  • Zinoviic Nytrebych Lviv Polytechnic National University - Department of Mathematics
  • Oksana Malanchuk Danylo Halytsky Lviv National Medical University - Department of biophysics
  • Volodymyr Il'kiv Lviv Polytechnic National University - Department of Mathematics
  • Petro Pukach Lviv Polytechnic National University - Department of Mathematics

Keywords:

Multipoint conditions, differential-symbol method, quasipolynomial solutions

Abstract

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.

Cover of n°38 Italian Journal of Pure and Applied Mathematics

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Published

2017-07-31

How to Cite

Nytrebych, Z., Malanchuk, O., Il'kiv, V., & Pukach, P. (2017). ON THE SOLVABILITY OF TWO-POINT IN TIME PROBLEM FOR PDE. Italian Journal of Pure and Applied Mathematics, 37, 715–726. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6761

Issue

N°38 - July 2017

Section

Articoli - Forum Editrice

License

Copyright (c) 2017 Zinoviic Nytrebych, Oksana Malanchuk, Volodymyr Il'kiv, Petro Pukach

Creative Commons License

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)

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