{"title":"在原点附近局部定义的分数阶哈密顿系统的多重解","authors":"M. Timoumi","doi":"10.7153/fdc-2020-10-12","DOIUrl":null,"url":null,"abstract":". In this article, we are interested in the existence of in fi nitely many solutions for a class of fractional Hamiltonian systems where L ( t ) is neither uniformly positive de fi nite nor coercive, and W ( t , x ) is locally de fi ned and subquadratic or superquadratic near the origin with respect to x . The proof is based on variational methods and critical point theory.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"94 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multiple solutions for fractional Hamiltonian systems locally defined near the origin\",\"authors\":\"M. Timoumi\",\"doi\":\"10.7153/fdc-2020-10-12\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this article, we are interested in the existence of in fi nitely many solutions for a class of fractional Hamiltonian systems where L ( t ) is neither uniformly positive de fi nite nor coercive, and W ( t , x ) is locally de fi ned and subquadratic or superquadratic near the origin with respect to x . The proof is based on variational methods and critical point theory.\",\"PeriodicalId\":135809,\"journal\":{\"name\":\"Fractional Differential Calculus\",\"volume\":\"94 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fractional Differential Calculus\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/fdc-2020-10-12\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fractional Differential Calculus","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/fdc-2020-10-12","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Multiple solutions for fractional Hamiltonian systems locally defined near the origin
. In this article, we are interested in the existence of in fi nitely many solutions for a class of fractional Hamiltonian systems where L ( t ) is neither uniformly positive de fi nite nor coercive, and W ( t , x ) is locally de fi ned and subquadratic or superquadratic near the origin with respect to x . The proof is based on variational methods and critical point theory.
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