{"title":"有限维向量空间中的多重性结果","authors":"Biagio Ricceri","doi":"10.1080/10236198.2024.2311678","DOIUrl":null,"url":null,"abstract":"Let f1,…,fn be n (n≥2) continuous real-valued functions on R such that lim|t|→+∞∫0tfk(s)dst2=−∞ for all k=1,…,n. This sole condition is far from ensuring the existence of multiple solutions for th...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":"44 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A multiplicity result in finite-dimensional vector spaces\",\"authors\":\"Biagio Ricceri\",\"doi\":\"10.1080/10236198.2024.2311678\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let f1,…,fn be n (n≥2) continuous real-valued functions on R such that lim|t|→+∞∫0tfk(s)dst2=−∞ for all k=1,…,n. This sole condition is far from ensuring the existence of multiple solutions for th...\",\"PeriodicalId\":15616,\"journal\":{\"name\":\"Journal of Difference Equations and Applications\",\"volume\":\"44 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-02-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Difference Equations and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/10236198.2024.2311678\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Difference Equations and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/10236198.2024.2311678","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
摘要
设 f1,...,fn 为 R 上的 n (n≥2) 个连续实值函数,且对于所有 k=1,...,n,lim|t||→+∞∫0tfk(s)dst2=-∞。这一唯一条件远不能确保存在多解。
A multiplicity result in finite-dimensional vector spaces
Let f1,…,fn be n (n≥2) continuous real-valued functions on R such that lim|t|→+∞∫0tfk(s)dst2=−∞ for all k=1,…,n. This sole condition is far from ensuring the existence of multiple solutions for th...
期刊介绍:
Journal of Difference Equations and Applications presents state-of-the-art papers on difference equations and discrete dynamical systems and the academic, pure and applied problems in which they arise. The Journal is composed of original research, expository and review articles, and papers that present novel concepts in application and techniques.
The scope of the Journal includes all areas in mathematics that contain significant theory or applications in difference equations or discrete dynamical systems.