{"title":"Hyers-Ulam-Rassias Stability Of The Inhomogeneous Wave Equation","authors":"ماهر نظمي قرواني","doi":"10.33977/2106-000-003-001","DOIUrl":null,"url":null,"abstract":"In this paper, we apply the Duhamel’s Principle to prove the Hyers-Ulam-Rassias stability for one-dimensional inhomogeneous wave equation on an infinite homogeneous string with zero initial conditions. We have also established the Hyers-Ulam-Rassias stability of nonzero initial value problem of the inhomogeneous wave equation for an infinite string. Some illustrative examples are given.","PeriodicalId":139540,"journal":{"name":"المجلة الفلسطينية للتكنولوجيا والعلوم التطبيقية","volume":"60 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"المجلة الفلسطينية للتكنولوجيا والعلوم التطبيقية","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33977/2106-000-003-001","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
In this paper, we apply the Duhamel’s Principle to prove the Hyers-Ulam-Rassias stability for one-dimensional inhomogeneous wave equation on an infinite homogeneous string with zero initial conditions. We have also established the Hyers-Ulam-Rassias stability of nonzero initial value problem of the inhomogeneous wave equation for an infinite string. Some illustrative examples are given.
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