{"title":"二阶周期问题极大值原理的最优条件","authors":"G. Holubová","doi":"10.58997/ejde.sp.02.h2","DOIUrl":null,"url":null,"abstract":"We provide alternate necessary and/or sufficient conditions on the sign-changing coefficient p(t) for the maximum principle for the second-order periodic problem \\(u''=p(t) u + q(t) \\) to hold, i.e., for nonnegative \\(q\\) to yield a nonpositive periodic solution \\(u\\).\nSee also https://ejde.math.txstate.edu/special/02/h2/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimal conditions for the maximum principle for second-order periodic problems\",\"authors\":\"G. Holubová\",\"doi\":\"10.58997/ejde.sp.02.h2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We provide alternate necessary and/or sufficient conditions on the sign-changing coefficient p(t) for the maximum principle for the second-order periodic problem \\\\(u''=p(t) u + q(t) \\\\) to hold, i.e., for nonnegative \\\\(q\\\\) to yield a nonpositive periodic solution \\\\(u\\\\).\\nSee also https://ejde.math.txstate.edu/special/02/h2/abstr.html\",\"PeriodicalId\":49213,\"journal\":{\"name\":\"Electronic Journal of Differential Equations\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-03-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Electronic Journal of Differential Equations\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.58997/ejde.sp.02.h2\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Journal of Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.58997/ejde.sp.02.h2","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
我们为二阶周期问题\(u''=p(t) u + q(t) \)的最大值原理提供了换号系数p(t)的必要和/或充分条件，即，对于非负的\(q\)产生非正的周期解\(u\)。参见https://ejde.math.txstate.edu/special/02/h2/abstr.html
Optimal conditions for the maximum principle for second-order periodic problems
We provide alternate necessary and/or sufficient conditions on the sign-changing coefficient p(t) for the maximum principle for the second-order periodic problem \(u''=p(t) u + q(t) \) to hold, i.e., for nonnegative \(q\) to yield a nonpositive periodic solution \(u\).
See also https://ejde.math.txstate.edu/special/02/h2/abstr.html
期刊介绍：
All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.
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