{"title":"非线性边值问题解的存在性","authors":"Jesús F. Rodríguez, Adam J. Suarez","doi":"10.7153/DEA-09-01","DOIUrl":null,"url":null,"abstract":"In this paper we provide sufficient conditions for the existence of solutions to nonlinear boundary value problems. We do so by applying a general abstract strategy for solving nonlinear equations with a linear component. We apply this to general systems by first isolating a linear periodic system and using the general theory of periodic solutions to find conditions on the additional nonlinear components to guarantee solutions.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"24 1","pages":"1-11"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Existence of solutions to nonlinear boundary value problems\",\"authors\":\"Jesús F. Rodríguez, Adam J. Suarez\",\"doi\":\"10.7153/DEA-09-01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we provide sufficient conditions for the existence of solutions to nonlinear boundary value problems. We do so by applying a general abstract strategy for solving nonlinear equations with a linear component. We apply this to general systems by first isolating a linear periodic system and using the general theory of periodic solutions to find conditions on the additional nonlinear components to guarantee solutions.\",\"PeriodicalId\":11162,\"journal\":{\"name\":\"Differential Equations and Applications\",\"volume\":\"24 1\",\"pages\":\"1-11\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/DEA-09-01\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/DEA-09-01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Existence of solutions to nonlinear boundary value problems
In this paper we provide sufficient conditions for the existence of solutions to nonlinear boundary value problems. We do so by applying a general abstract strategy for solving nonlinear equations with a linear component. We apply this to general systems by first isolating a linear periodic system and using the general theory of periodic solutions to find conditions on the additional nonlinear components to guarantee solutions.
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