{"title":"论双曲微分差分方程的一个考奇问题","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":"{\"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}","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}
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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