Homoclinic Orbits for a Class of Nonperiodic Hamiltonian Systems
Joint Authors
Qin, Wenping
Zhao, Fukun
Zhang, Jian
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-04
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
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 strongly indefinite functionals, we establish the existence of homoclinic orbits for asymptotically quadratic nonlinearity as well as the existence of infinitely many homoclinic orbits for superquadratic nonlinearity.
American Psychological Association (APA)
Qin, Wenping& Zhang, Jian& Zhao, Fukun. 2012. Homoclinic Orbits for a Class of Nonperiodic Hamiltonian Systems. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-497318
Modern Language Association (MLA)
Qin, Wenping…[et al.]. Homoclinic Orbits for a Class of Nonperiodic Hamiltonian Systems. Abstract and Applied Analysis No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-497318
American Medical Association (AMA)
Qin, Wenping& Zhang, Jian& Zhao, Fukun. Homoclinic Orbits for a Class of Nonperiodic Hamiltonian Systems. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-497318
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497318