On One Cauchy Problem for a Hyperbolic Differential-Difference Equation

Pub Date : 2024-02-26 DOI:10.1134/s0012266123120182
N. V. Zaitseva
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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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论双曲微分差分方程的一个考奇问题
摘要 我们提供了一个二维双曲方程的带状 Cauchy 问题的公式,该方程包含一个微分算子和一个相对于沿整个实轴变化的空间变量的移位算子的叠加。利用傅立叶积分变换以显式形式构造了问题的解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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