In this paper,we give a survey on the index iteration theory of an index theory for brake orbit type solutions and its applications in the study of brake orbit problems including the Seifert conjecture and the minimal...In this paper,we give a survey on the index iteration theory of an index theory for brake orbit type solutions and its applications in the study of brake orbit problems including the Seifert conjecture and the minimal period solution problems in brake orbit cases.展开更多
基金The first author is partially supported by the NSFC Grants(No.11790271)Guangdong Basic and Applied basic Research Foundation(No.2020A1515011019)+4 种基金Innovation and Development Project of Guangzhou UniversityThe second author is partially supported by National Key R&D Program of China(No.2020YFA0713300)NSFC Grants Nos.11671215 and 11790271,LPMC of Ministry of Education of China,Nankai University,Nankai Zhide Foundation,Wenzhong Foundation,and the Beijing Center for Mathematics and Information Interdisciplinary Sciences at Capital Normal UniversityThe third author is partially supported by National Key R&D Program of China(No.2020YFA0713300)NSFC Garnts Nos.11790271 and 11171341,and LPMC of Nankai University.
文摘In this paper,we give a survey on the index iteration theory of an index theory for brake orbit type solutions and its applications in the study of brake orbit problems including the Seifert conjecture and the minimal period solution problems in brake orbit cases.
