{"title":"隐式二阶微分方程解的存在性及hyers-ulam稳定性","authors":"I. Kaddoura, S. Al-Issa, N. J. Rifai","doi":"10.46753/pjaa.2023.v010i01.013","DOIUrl":null,"url":null,"abstract":". The main objective of this research is to investigate the existence and stability of solutions for implicit second order differential equations with fractional-orders integral boundary conditions. Our studies have relied on Krasnoselskii’s fixed point theorem and Banach contraction principle. We provide examples to clarify the achieved conclusions.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"EXISTENCE AND HYERS-ULAM STABILITY OF THE SOLUTIONS TO THE IMPLICIT SECOND-ORDER DIFFERENTIAL EQUATION\",\"authors\":\"I. Kaddoura, S. Al-Issa, N. J. Rifai\",\"doi\":\"10.46753/pjaa.2023.v010i01.013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The main objective of this research is to investigate the existence and stability of solutions for implicit second order differential equations with fractional-orders integral boundary conditions. Our studies have relied on Krasnoselskii’s fixed point theorem and Banach contraction principle. We provide examples to clarify the achieved conclusions.\",\"PeriodicalId\":37079,\"journal\":{\"name\":\"Poincare Journal of Analysis and Applications\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Poincare Journal of Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46753/pjaa.2023.v010i01.013\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Poincare Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46753/pjaa.2023.v010i01.013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
EXISTENCE AND HYERS-ULAM STABILITY OF THE SOLUTIONS TO THE IMPLICIT SECOND-ORDER DIFFERENTIAL EQUATION
. The main objective of this research is to investigate the existence and stability of solutions for implicit second order differential equations with fractional-orders integral boundary conditions. Our studies have relied on Krasnoselskii’s fixed point theorem and Banach contraction principle. We provide examples to clarify the achieved conclusions.