Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions

Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions

This paper is devoted to multiple solutions of generalized asymptotical linear Hamiltonian systems satisfying Bolza boundary conditions. We classify the linear Hamiltonian systems by the index theory and obtain the existence and multiplicity of solutions for the Hamiltonian systems, based on an appl...

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Veröffentlicht in:Journal of Applied Mathematics 2013-01, Vol.2013 (2013), p.210-214-423
Hauptverfasser: Shan, Yuan, Liu, Baoqing
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Hamiltonian systems
Mathematical research
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Zusammenfassung:This paper is devoted to multiple solutions of generalized asymptotical linear Hamiltonian systems satisfying Bolza boundary conditions. We classify the linear Hamiltonian systems by the index theory and obtain the existence and multiplicity of solutions for the Hamiltonian systems, based on an application of the classical symmetric mountain pass lemma.
ISSN:1110-757X
1687-0042
DOI:10.1155/2013/521059