{"title":"Asymptotics and oscillation for certain higher-order nonlinear dynamic equations on time scales","authors":"Xin Wu, Taixiang Sun, Jiaying Wang","doi":"10.1007/s13324-024-00917-y","DOIUrl":null,"url":null,"abstract":"<div><p>In a recent paper, Hassan and O’Regan (Rocky Mt J Math 50:599–617, 2020) studied the oscillatory behavior of solutions for some higher-order nonlinear dynamic equations on time scales. In this paper, we investigate an open problem (Hassan and O’Regan in Rocky Mt J Math 50:599–617, 2020) and completely solve it by using the generalized Riccati approach and integral averaging technique. Our findings constitute an addendum to the above paper.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 3","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis and Mathematical Physics","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s13324-024-00917-y","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In a recent paper, Hassan and O’Regan (Rocky Mt J Math 50:599–617, 2020) studied the oscillatory behavior of solutions for some higher-order nonlinear dynamic equations on time scales. In this paper, we investigate an open problem (Hassan and O’Regan in Rocky Mt J Math 50:599–617, 2020) and completely solve it by using the generalized Riccati approach and integral averaging technique. Our findings constitute an addendum to the above paper.
期刊介绍：
Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.
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