{"title":"Investigation for pseudo-almost periodic functions: generalizations and applications to differential equations","authors":"Dhaou C. Lassoued, George E. Chatzarakis","doi":"10.1007/s13370-024-01220-6","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we revisit pseudo-almost periodic and Stepanov-almost periodic functions. We study their properties and show in particular some composition theorems and fundamental results related to these classes. Some illustrating applications and concrete examples on existence and uniqueness of pseudo-almost periodic solutions to differential equations are given.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-024-01220-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we revisit pseudo-almost periodic and Stepanov-almost periodic functions. We study their properties and show in particular some composition theorems and fundamental results related to these classes. Some illustrating applications and concrete examples on existence and uniqueness of pseudo-almost periodic solutions to differential equations are given.
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