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On One Cauchy Problem for a Hyperbolic Differential-Difference Equation

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Abstract

We provide a formulation of the Cauchy problem in a strip for a two-dimensional hyperbolic equation containing a superposition of a differential operator and a shift operator with respect to the spatial variable varying along the entire real axis. The solution of the problem using integral Fourier transforms is constructed in explicit form.

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Funding

This work was carried out with financial support from the Ministry of Science and Higher Education of the Russian Federation within the framework of the program for the Moscow Center for Fundamental and Applied Mathematics under agreement no. 075-15-2022-284.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    N. V. Zaitseva

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  1. N. V. Zaitseva
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Correspondence to N. V. Zaitseva.

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Translated by V. Potapchouck

CONFLICT OF INTEREST. The author of this work declares that she has no conflicts of interest.

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Zaitseva, N.V. On One Cauchy Problem for a Hyperbolic Differential-Difference Equation. Diff Equat 59, 1787–1792 (2023). https://doi.org/10.1134/S0012266123120182

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  • DOI: https://doi.org/10.1134/S0012266123120182

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