{"title":"Solution of Some Problems for the String Vibration Equation in a Half-Strip by Quadratures","authors":"O. M. Jokhadze, S. S. Kharibegashvili","doi":"10.1134/s0012266124020034","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> For the inhomogeneous string vibration equation in a half-strip, we consider a problem\nperiodic in the spatial variable and a mixed problem. The solutions of these problems in the form\nof finite sums are obtained by quadratures. When solving these problems, we use the\ncharacteristic rectangle identity, Riemann invariants, and the method of characteristics.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-05","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/s0012266124020034","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
For the inhomogeneous string vibration equation in a half-strip, we consider a problem
periodic in the spatial variable and a mixed problem. The solutions of these problems in the form
of finite sums are obtained by quadratures. When solving these problems, we use the
characteristic rectangle identity, Riemann invariants, and the method of characteristics.
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