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, issue 1

Abstract: The authors study the existence and uniqueness of a set with 2kT‐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 2kT‐periodic solutions.

Date: 2012
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https://doi.org/10.1155/2012/615303

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:615303

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