{"title":"A note on the oscillation problems for differential equations with $p(t)$-Laplacian","authors":"K. Fujimoto","doi":"10.5817/am2023-1-39","DOIUrl":null,"url":null,"abstract":". This paper deals with the oscillation problems on the nonlinear differential equation ( a ( t ) | x 0 | p ( t ) − 2 x 0 ) 0 + b ( t ) | x | λ − 2 x = 0 involving p ( t )-Laplacian. Sufficient conditions are given under which all proper solutions are oscillatory. In addition, we give a-priori estimates for nonoscillatory solutions and propose an open problem.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"101 5","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archivum Mathematicum","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5817/am2023-1-39","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. This paper deals with the oscillation problems on the nonlinear differential equation ( a ( t ) | x 0 | p ( t ) − 2 x 0 ) 0 + b ( t ) | x | λ − 2 x = 0 involving p ( t )-Laplacian. Sufficient conditions are given under which all proper solutions are oscillatory. In addition, we give a-priori estimates for nonoscillatory solutions and propose an open problem.
期刊介绍：
Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.
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