{"title":"Mixed Problems with Integral Conditions for Hyperbolic Equations with the Bessel Operator","authors":"N. V. Zaitseva","doi":"10.1134/s00122661230130013","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> The paper considers nonlocal problems with integral conditions for hyperbolic equations\nwith the Bessel differential operator whose statement substantially depends on the intervals where\nthe parameter occurring in this operator varies. The well-posedness of these problems is studied\naccording to a unified scheme based on the classical method of separation of variables, which is\nalso used to study nonclassical problems with integral conditions for equations of\nelliptic–hyperbolic type containing the Bessel operator in one or two variables as well.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-15","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/s00122661230130013","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
The paper considers nonlocal problems with integral conditions for hyperbolic equations
with the Bessel differential operator whose statement substantially depends on the intervals where
the parameter occurring in this operator varies. The well-posedness of these problems is studied
according to a unified scheme based on the classical method of separation of variables, which is
also used to study nonclassical problems with integral conditions for equations of
elliptic–hyperbolic type containing the Bessel operator in one or two variables as well.
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