{"title":"一类次线性非自治二阶系统的多周期解","authors":"Zhang Shen-gui","doi":"10.3724/SP.J.1160.2013.00131","DOIUrl":null,"url":null,"abstract":"In this paper,we investigate the existence of periodic solution for nonautonmous second order system with partially periodic potential or sublinear nonlinearity by general saddle point theorem.Some sufficient conditions for the existence of multiple periodic solutions are obtained, and this results improve the existing ones.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"131"},"PeriodicalIF":0.0000,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Multiple Periodic Solutions for a Class of Sublinear Nonautonmous Second Order System\",\"authors\":\"Zhang Shen-gui\",\"doi\":\"10.3724/SP.J.1160.2013.00131\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper,we investigate the existence of periodic solution for nonautonmous second order system with partially periodic potential or sublinear nonlinearity by general saddle point theorem.Some sufficient conditions for the existence of multiple periodic solutions are obtained, and this results improve the existing ones.\",\"PeriodicalId\":62008,\"journal\":{\"name\":\"应用泛函分析学报\",\"volume\":\"15 1\",\"pages\":\"131\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"应用泛函分析学报\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.3724/SP.J.1160.2013.00131\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"应用泛函分析学报","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.3724/SP.J.1160.2013.00131","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Multiple Periodic Solutions for a Class of Sublinear Nonautonmous Second Order System
In this paper,we investigate the existence of periodic solution for nonautonmous second order system with partially periodic potential or sublinear nonlinearity by general saddle point theorem.Some sufficient conditions for the existence of multiple periodic solutions are obtained, and this results improve the existing ones.
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