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The Lagrangian Stability for a Class of Second-Order Quasi-Periodic Reversible Systems
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-17
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We study the following two-order differential equation, (Φp(x'))'+f(x,t)Φp(x')+g(x,t)=0, where Φp(s)=|s|(p-2)s, p>0.
f(x,t) and g(x,t) are real analytic functions in x and t, 2aπp- periodic in x, and quasi-periodic in t with frequencies (ω1,…,ωm).
Under some odd-even property of f(x,t) and g(x,t), we obtain the existence of invariant curves for the above equations by a variant of small twist theorem.
Then all solutions for the above equations are bounded in the sense of supt∈R|x′(t)|<+∞.
American Psychological Association (APA)
Shi, Yanling& Li, Jia. 2011. The Lagrangian Stability for a Class of Second-Order Quasi-Periodic Reversible Systems. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-475644
Modern Language Association (MLA)
Shi, Yanling& Li, Jia. The Lagrangian Stability for a Class of Second-Order Quasi-Periodic Reversible Systems. Abstract and Applied Analysis No. 2011 (2011), pp.1-8.
https://search.emarefa.net/detail/BIM-475644
American Medical Association (AMA)
Shi, Yanling& Li, Jia. The Lagrangian Stability for a Class of Second-Order Quasi-Periodic Reversible Systems. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-475644
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475644