Brake subharmonic solutions of first order Hamiltonian systems  

作　　者：LI Chong & LIU ChunGen School of Mathematical Sciences and LPMC,Nankai University,Tianjin 300071,China 

出　　处：《Science China Mathematics》2010年第10期2719-2732,共14页中国科学：数学（英文版）

基　　金：partially supported by National Natural Science Foundation of China (Grant Nos.11071123,10621101);National Key Basic Research Program (973 Program) of China (Grant No.2011CB808002)

摘　　要：In this paper,we mainly use the Galerkin approximation method and the iteration inequalities of the L-Maslov type index theory to study the properties of brake subharmonic solutions for the first order non-autonomous Hamiltonian systems.We prove that when the positive integers j and k satisfy the certain conditions,there exists a jT-periodic nonconstant brake solution zj such that zj and zkj are distinct.In this paper,we mainly use the Galerkin approximation method and the iteration inequalities of the L-Maslov type index theory to study the properties of brake subharmonic solutions for the first order non-autonomous Hamiltonian systems.We prove that when the positive integers j and k satisfy the certain conditions,there exists a jT-periodic nonconstant brake solution zj such that zj and zkj are distinct.

关 键 词：BRAKE SUBHARMONIC SOLUTION L-Maslov type INDEX HAMILTONIAN systems 

分 类 号：O241.5[理学—计算数学]