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Differential-symbol method of constructing the quasipolynomial solutions of a two-point problem for a partial differential equation

  • Zinovii M. NytrebychEmail author
  • Volodymyr S. Il’kiv
  • Petro Ya. Pukach
  • Oksana M. Malanchuk
Article
  • 9 Downloads

Abstract

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.

Keywords

Quasipolynomial solutions differential-symbol method characteristic determinant of the problem two-point conditions 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Zinovii M. Nytrebych
    • 1
    Email author
  • Volodymyr S. Il’kiv
    • 1
  • Petro Ya. Pukach
    • 1
  • Oksana M. Malanchuk
    • 2
  1. 1.Lviv Polytechnic National UniversityLvivUkraine
  2. 2.D. Halyts’kyi Lviv National Medical University LvivLvivUkraine

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