{"title":"具有混合周期型和neumann型边界条件的哈密顿系统的多重性结果","authors":"Wahid Ullah","doi":"10.1016/j.jmaa.2025.129701","DOIUrl":null,"url":null,"abstract":"<div><div>We study the multiplicity of solutions for a Hamiltonian system coupling two systems associated with mixed boundary conditions: corresponding to the first system, we impose periodic boundary conditions and assume the twist condition commonly used for the Poincaré–Birkhoff theorem, while for the second one, we consider a two-point boundary conditions of Neumann type.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"551 2","pages":"Article 129701"},"PeriodicalIF":1.2000,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A multiplicity result for Hamiltonian systems with mixed periodic-type and Neumann-type boundary conditions\",\"authors\":\"Wahid Ullah\",\"doi\":\"10.1016/j.jmaa.2025.129701\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We study the multiplicity of solutions for a Hamiltonian system coupling two systems associated with mixed boundary conditions: corresponding to the first system, we impose periodic boundary conditions and assume the twist condition commonly used for the Poincaré–Birkhoff theorem, while for the second one, we consider a two-point boundary conditions of Neumann type.</div></div>\",\"PeriodicalId\":50147,\"journal\":{\"name\":\"Journal of Mathematical Analysis and Applications\",\"volume\":\"551 2\",\"pages\":\"Article 129701\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2025-05-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Analysis and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022247X25004822\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X25004822","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
A multiplicity result for Hamiltonian systems with mixed periodic-type and Neumann-type boundary conditions
We study the multiplicity of solutions for a Hamiltonian system coupling two systems associated with mixed boundary conditions: corresponding to the first system, we impose periodic boundary conditions and assume the twist condition commonly used for the Poincaré–Birkhoff theorem, while for the second one, we consider a two-point boundary conditions of Neumann type.
期刊介绍:
The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
Papers are sought which employ one or more of the following areas of classical analysis:
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