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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. © 2012 Lijuan Chen and Shiping Lu.

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