Non-degeneracy and Uniqueness of Periodic Solutions for a Liénard Equation with a Linear Difference Operator
Zhibo Cheng,
Yafei Li
Abstract:In this paper, we investigate the non-degeneracy of a Liénard equation with a linear difference operator by means of the generalized Wirtinger inequality. In addition, by the non-degenerate results and an extension of Mawhin's continuation theorem, the existence and uniqueness of periodic solutions for a Liénard equation with a linear difference operator are proved.
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