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.

中文翻译：

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关于一类双曲微分方程的柯西问题

摘要

我们提供了二维双曲方程的柯西问题的条带形式，该方程包含微分算子和移位算子相对于沿整个实轴变化的空间变量的叠加。使用积分傅里叶变换的问题解决方案以显式形式构建。