{"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":50580,"journal":{"name":"Differential Equations","volume":"33 1","pages":""},"PeriodicalIF":0.8000,"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\":50580,\"journal\":{\"name\":\"Differential Equations\",\"volume\":\"33 1\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-02-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1134/s0012266123120182\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0012266123120182","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","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.
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.
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