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Periodic Solution of Second-Order Hamiltonian Systems with a Change Sign Potential on Time Scales
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-02
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper is concerned with the second-order Hamiltonian system on time scales ? of the form uΔΔ(ρ(t))+μb(t)|u(t)|μ−2u(t)+∇¯H(t,u(t))=0, Δ-a.e.
t∈[0,T]? , u(0)−u(T)=uΔ(ρ(0))−uΔ(ρ(T))=0, where 0,T∈?.
By using the minimax methods in critical theory, an existence theorem of periodic solution for the above system is established.
As an application, an example is given to illustrate the result.
This is probably the first time the existence of periodic solutions for second-order Hamiltonian system on time scales has been studied by critical theory.
American Psychological Association (APA)
Su, You-Hui& Li, Wan Tong. 2009. Periodic Solution of Second-Order Hamiltonian Systems with a Change Sign Potential on Time Scales. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-463929
Modern Language Association (MLA)
Su, You-Hui& Li, Wan Tong. Periodic Solution of Second-Order Hamiltonian Systems with a Change Sign Potential on Time Scales. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-17.
https://search.emarefa.net/detail/BIM-463929
American Medical Association (AMA)
Su, You-Hui& Li, Wan Tong. Periodic Solution of Second-Order Hamiltonian Systems with a Change Sign Potential on Time Scales. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-463929
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463929