Existence of Homoclinic Orbits for Hamiltonian Systems with Superquadratic Potentials
Joint Authors
Ding, Jian
Xu, Junxiang
Zhang, Fubao
Source
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-01-27
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper concerns solutions for the Hamiltonian system: z˙=?Hz(t,z).
Here H(t,z)=(1/2)z⋅Lz+W(t,z), L is a 2N×2N symmetric matrix, and W∈C1(ℝ×ℝ2N,ℝ).
We consider the case that 0∈σc(−(?(d/dt)+L)) and W satisfies some superquadratic condition different from the type of Ambrosetti-Rabinowitz.
We study this problem by virtue of some weak linking theorem recently developed and prove the existence of homoclinic orbits.
American Psychological Association (APA)
Ding, Jian& Xu, Junxiang& Zhang, Fubao. 2010. Existence of Homoclinic Orbits for Hamiltonian Systems with Superquadratic Potentials. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-447924
Modern Language Association (MLA)
Ding, Jian…[et al.]. Existence of Homoclinic Orbits for Hamiltonian Systems with Superquadratic Potentials. Abstract and Applied Analysis No. 2009 (2009), pp.1-15.
https://search.emarefa.net/detail/BIM-447924
American Medical Association (AMA)
Ding, Jian& Xu, Junxiang& Zhang, Fubao. Existence of Homoclinic Orbits for Hamiltonian Systems with Superquadratic Potentials. Abstract and Applied Analysis. 2010. Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-447924
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447924