Homoclinic Orbits for a Class of Nonperiodic Hamiltonian Systems
We study the following nonperiodic Hamiltonian system ż=JHz(t,z), where H∈C1(R×R2N,R) is the form H(t,z)=(1/2)B(t)z⋅z+R(t,z). We introduce a new assumption on B(t) and prove that the corresponding Hamiltonian operator has only point spectrum. Moreover, by applying a generalized linking theorem for...
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Main Authors: | Wenping Qin, Jian Zhang, Fukun Zhao |
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Format: | Article |
Language: | English |
Published: |
Wiley
2012-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2012/769232 |
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