论双曲微分差分方程的一个考奇问题

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2024-02-26 DOI:10.1134/s0012266123120182

N. V. Zaitseva

引用次数: 0

摘要

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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On One Cauchy Problem for a Hyperbolic Differential-Difference Equation

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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来源期刊

Differential Equations 数学-数学

CiteScore

1.30

自引率

33.30%

发文量

审稿时长

3-8 weeks

期刊介绍： Differential Equations is a journal devoted to differential equations and the associated integral equations. The journal publishes original articles by authors from all countries and accepts manuscripts in English and Russian. The topics of the journal cover ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. The journal is published in collaboration with the Department of Mathematics and the Division of Nanotechnologies and Information Technologies of the Russian Academy of Sciences and the Institute of Mathematics of the National Academy of Sciences of Belarus.