Journal of Applied Mathematics

Existence and Uniqueness of Homoclinic Solution for a Class of Nonlinear Second-Order Differential Equations

Lijuan Chen and Shiping Lu

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Abstract

The authors study the existence and uniqueness of a set with 2 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 of 2 k T -periodic solutions.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 615303, 13 pages.

Dates
First available in Project Euclid: 5 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1365174338

Digital Object Identifier
doi:10.1155/2012/615303

Mathematical Reviews number (MathSciNet)
MR3005205

Zentralblatt MATH identifier
1278.34048

Citation

Chen, Lijuan; Lu, Shiping. Existence and Uniqueness of Homoclinic Solution for a Class of Nonlinear Second-Order Differential Equations. J. Appl. Math. 2012 (2012), Article ID 615303, 13 pages. doi:10.1155/2012/615303. https://projecteuclid.org/euclid.jam/1365174338


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