{"title":"STABILITY AND BOUNDEDNESS BEHAVIOUR OF SOLUTIONS OF A CERTAIN SECOND ORDER NON-AUTONOMOUS DIFFERENTIAL EQUATIONS","authors":"A. Olutimo, O. M. Akinmoladun, D. L. Enosegbe","doi":"10.37418/amsj.10.9.4","DOIUrl":null,"url":null,"abstract":"In this paper, we give sufficient conditions for the stability and ultimate boundedness of solutions to a certain second order non-autonomous differential equations with damped and forced functions. Our results improve and extend some of the stability and boundedness results in the literature which themselves are extensions of some results cited therein. We give example to illustrate the result obtained.","PeriodicalId":231125,"journal":{"name":"Advances in Mathematics: Scientific Journal-","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Mathematics: Scientific Journal-","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37418/amsj.10.9.4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we give sufficient conditions for the stability and ultimate boundedness of solutions to a certain second order non-autonomous differential equations with damped and forced functions. Our results improve and extend some of the stability and boundedness results in the literature which themselves are extensions of some results cited therein. We give example to illustrate the result obtained.
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