{"title":"有序巴拿赫空间中具有值的广义概周期函数","authors":"M. Kostić","doi":"10.1007/s13370-025-01298-6","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we analyze some classes of generalized almost periodic functions with values in ordered Banach spaces. The main structural characterizations for the introduced classes of almost periodic functions are established. We also present some applications of our results to the abstract Volterra integro-differential equations in ordered Banach spaces.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalized almost periodic functions with values in ordered Banach spaces\",\"authors\":\"M. Kostić\",\"doi\":\"10.1007/s13370-025-01298-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we analyze some classes of generalized almost periodic functions with values in ordered Banach spaces. The main structural characterizations for the introduced classes of almost periodic functions are established. We also present some applications of our results to the abstract Volterra integro-differential equations in ordered Banach spaces.</p></div>\",\"PeriodicalId\":46107,\"journal\":{\"name\":\"Afrika Matematika\",\"volume\":\"36 2\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2025-04-07\",\"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/s13370-025-01298-6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-025-01298-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Generalized almost periodic functions with values in ordered Banach spaces
In this paper, we analyze some classes of generalized almost periodic functions with values in ordered Banach spaces. The main structural characterizations for the introduced classes of almost periodic functions are established. We also present some applications of our results to the abstract Volterra integro-differential equations in ordered Banach spaces.
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