{"title":"Qualitative analysis of dynamic equations on time scales using Lyapunov functions","authors":"E. Messina, Y. Raffoul, A. Vecchio","doi":"10.7153/dea-2022-14-14","DOIUrl":null,"url":null,"abstract":". We employ Lyapunov functions to study boundedness and stability of dynamic equa- tions on time scales. Most of our Lyapunov functions involve the term | x | and its Δ -derivative. In particular, we prove general theorems regarding qualitative analysis of solutions of delay dynamical systems and then use Lyapunov functionals that partially include | x | to provide ex-amples.","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/dea-2022-14-14","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
. We employ Lyapunov functions to study boundedness and stability of dynamic equa- tions on time scales. Most of our Lyapunov functions involve the term | x | and its Δ -derivative. In particular, we prove general theorems regarding qualitative analysis of solutions of delay dynamical systems and then use Lyapunov functionals that partially include | x | to provide ex-amples.
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