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

Lijuan Chen and Shiping Lu

Journal of Applied Mathematics, 2012, vol. 2012, 1-13

Abstract:

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

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:615303

DOI: 10.1155/2012/615303

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