On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems

By Zhan Fang Zhou, Jianshe Yu. 2010

114 citations recorded by the source corpus.

Abstract In this paper, we obtain a new sufficient condition on the existence of homoclinic solutions of a class of discrete nonlinear periodic systems by using critical point theory in combination with periodic approximations. We prove that it is also necessary in some special cases.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/67f21b10f194523ed1d30b15459f46ff822bdcfb

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In Geometry and Topology

1. Zhan Fang Zhou
2. Jianshe Yu
3. Yuming Chen
4. Hui Fang
5. Zhiming Guo
6. Jianbao Zhang

In Statistical and Nonlinear Physics

1. Jianshe Yu
2. Zhan Fang Zhou
3. Yuming Chen

Citations in the corpus

• Homoclinic solutions in periodic difference equations with saturable nonlinearity (2011, result): “As we will see, even for this very special case, our results greatly improve those in [24]. See also [ 28 ] for this special case.”