Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions-Reference-Cited by-同舟云学术

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

Published:2013 Issue: Volume:2013 Page:1-5
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Shan Yuan¹²^ORCID,Liu Baoqing¹

Affiliation:

1. School of Mathematical Sciences, Nanjing Normal University, Nanjing, Jiangsu 210023, China

2. Department of Mathematics, Nanjing University, Nanjing, Jiangsu 210093, China

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2013/521059.pdf

Reference15 articles.

1. Index theory, nontrivial solutions, and asymptotically linear second-order Hamiltonian systems

2. Maslov type index theory for linear Hamiltonian systems with Bolza boundary value conditions and multiple solutions for nonlinear Hamiltonian systems

3. Index theory for linear selfadjoint operator equations and nontrivial solutions for asymptotically linear operator equations

4. Morse-type index theory for flows and periodic solutions for Hamiltonian Equations

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