Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501644 | Journal of Differential Equations | 2005 | 23 Pages |
Abstract
In this paper, we consider the existence and multiplicity of solutions of second-order Hamiltonian systems. We propose a generalized asymptotically linear condition on the gradient of Hamiltonian function, classify the linear Hamiltonian systems, prove the monotonicity of the index function, and obtain some new conditions on the existence and multiplicity for generalized asymptotically linear Hamiltonian systems by global analysis methods such as the Leray-Schauder degree theory, the Morse theory, the Ljusternik-Schnirelman theory, etc.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yujun Dong,