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Differential Equations

, Volume 55, Issue 5, pp 703–717 | Cite as

Necessary and Sufficient Conditions for the Existence of a Classical Solution of the Mixed Problem for the Homogeneous Wave Equation with an Integrable Potential

  • A. P. KhromovEmail author
Partial Differential Equations
  • 1 Downloads

Abstract

We use the Fourier method to obtain necessary and sufficient conditions for the existence of a classical solution of the mixed problem for a homogeneous wave equation with an integrable potential and fixed endpoints. The solution is represented by a rapidly convergent series.

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Chernyshevsky Saratov State UniversitySaratovRussia

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