{"title":"On One Cauchy Problem for a Hyperbolic Differential-Difference Equation","authors":"N. V. Zaitseva","doi":"10.1134/s0012266123120182","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We provide a formulation of the Cauchy problem in a strip for a two-dimensional\nhyperbolic equation containing a superposition of a differential operator and a shift operator with\nrespect to the spatial variable varying along the entire real axis. The solution of the problem using\nintegral Fourier transforms is constructed in explicit form.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0012266123120182","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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