{"title":"希尔伯特空间上一类算子的定点对","authors":"A. Mokhtari, K. Saoudi, D. D. Repovš","doi":"arxiv-2407.17128","DOIUrl":null,"url":null,"abstract":"In this paper, existence of pairs of solutions is obtained for compact\npotential operators on Hilbert spaces. An application to a second-order\nboundary value problem is also given as an illustration of our results.","PeriodicalId":501114,"journal":{"name":"arXiv - MATH - Operator Algebras","volume":"22 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Pairs of fixed points for a class of operators on Hilbert spaces\",\"authors\":\"A. Mokhtari, K. Saoudi, D. D. Repovš\",\"doi\":\"arxiv-2407.17128\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, existence of pairs of solutions is obtained for compact\\npotential operators on Hilbert spaces. An application to a second-order\\nboundary value problem is also given as an illustration of our results.\",\"PeriodicalId\":501114,\"journal\":{\"name\":\"arXiv - MATH - Operator Algebras\",\"volume\":\"22 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Operator Algebras\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.17128\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Operator Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.17128","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Pairs of fixed points for a class of operators on Hilbert spaces
In this paper, existence of pairs of solutions is obtained for compact
potential operators on Hilbert spaces. An application to a second-order
boundary value problem is also given as an illustration of our results.