Periodic Solutions of Nonautonomous Second Order Hamiltonian Systems

In this paper, we develop the local linking theorem given by Li and Willem by replacing the Palais-Smale condition with a Cerami one, and apply it to the study of the existence of periodic solutions of the nonautonomous second order Hamiltonian systems ü + A(t) u + V (t, u) = 0, u ^sup ^sup N^, ^sup...

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 21; no. 4; pp. 685 - 690
Main Authors Luan, Shi Xia, Mao, An Min
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.08.2005
Subjects
Banach spaces
Decomposition
Eigenvalues
Existence theorems
Handles
Joining
Linking
Mathematical analysis
Mathematical problems
Mathematics
Nonlinearity
Studies
Theorems
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Summary:In this paper, we develop the local linking theorem given by Li and Willem by replacing the Palais-Smale condition with a Cerami one, and apply it to the study of the existence of periodic solutions of the nonautonomous second order Hamiltonian systems ü + A(t) u + V (t, u) = 0, u ^sup ^sup N^, ^sup t^^. We handle the case of superquadratic nonlinearities which differ from those used previously. Our results extend the theorems given by Li and Willem.[PUBLICATION ABSTRACT]
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ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-005-0532-6