{"title":"Study of periodic solutions for third-order iterative differential equations via Krasnoselskii-Burton’s theorem","authors":"Abderrahim Guerfi, A. Ardjouni","doi":"10.2478/ausm-2022-0005","DOIUrl":null,"url":null,"abstract":"Abstract This paper studies the existence of periodic solutions of a third order iterative differential equation. The main tool used here is Krasnoselskii-Burton’s fixed point theorem dealing with a sum of two mappings, one is a large contraction and the other is compact.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":"20 1","pages":"75 - 89"},"PeriodicalIF":0.6000,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Universitatis Sapientiae-Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/ausm-2022-0005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
Abstract This paper studies the existence of periodic solutions of a third order iterative differential equation. The main tool used here is Krasnoselskii-Burton’s fixed point theorem dealing with a sum of two mappings, one is a large contraction and the other is compact.
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