OALib Journal期刊
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用指标理论对凸哈密顿系统周期解的一个存在性定理的推广
, PP. 12-18
Keywords: 凸哈密顿系统,周期解,ekeland指标,对偶泛函
Abstract:
考虑凸哈密顿系统周期解的存在性,利用对偶变分方法和ekeland指标理论,得到了一个新结果,改进了mawhin证明的哈密顿系统周期解的一个存在性定理.
References
[1] | ekelandi.unetheoriedemorsepourlessystemeshamiltoniensconvexes[j].annihpanalysenonlineaire,1984,1:19-78.
|
[2] | dongy.p-indextheoryforlinearhamiltoniansystemsandmultiplesolutionsfornonlinearhamiltoniansystems[j].nonlinearity,2006,19:1275-1294.
|
[3] | longy.maslov-typeindextheory,degeneratecriticalpoints,andasymptoticallylinearhamiltoniansystems[j].scichinasera33,1990,12:1409-1419.
|
[4] | lis,liuj.morsetheoryandasymptoticlinearhamiltoniansystem[j].jdifferentionalequ,1989,78(1):53-73.
|
[5] | dongd,longy.theiterationformulaofthemaslove-typeindextheorywithapplicationstononlinearhamiltoniansystems[j].transamermasoc,1997,349(7):2619-2661.
|
[6] | mawhinj,willemm.criticalpointtheoryandhamiltoniansystem[m].berlin:springer,1998.
|
[7] | ekelandi.convexitymethodsinhamiltonianmechanics[m].berlin:springer,1990.
|
[8] | longy.indextheoryforsymplecticpathswithapplications[m].base:lbirkh?user,2002.
|
[9] | conleyc,zehndere.morse-typeindextheoryforflowsandperiodicsolutionsforhamiltonianequations[j].commpureapplmath,1984,37:207-253.
|
[10] | longy.amaslov-typeindextheoryforsymplecticpaths[j].topolmethodsnonlinearana,l1997,10(1):47-78.
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