Existence and Uniqueness of Homoclinic Solution for a Class of Nonlinear Second-Order Differential Equations. (25th December 2012)

• Record Type: Journal Article
• Authors: Chen, Lijuan; Lu, Shiping
• Other Names: López-Gómez Julián Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2012(2012)
• Publication Date: 2012-12-25
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2012/615303
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : The authors study the existence and uniqueness of a set with2 k T -periodic solutions for a class of second-order differential equations by using Mawhin's continuation theorem and some analysis methods, and then a unique homoclinic orbit is obtained as a limit point of the above set of2 k T -periodic solutions.