Existence of time homoclinic solutions for a class of discrete wave equations

Author:

Li Xinfu,Zhang Guang

Funder

the National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference23 articles.

1. Palmer, KJ: Shadowing in Dynamical Systems: Theory and Applications, vol. 501. Springer, Berlin (2000)

2. Šil’nikov, LP: Existence of a countable set of periodic motions in a neighborhood of a homoclinic curve. Dokl. Akad. Nauk SSSR 172, 298-301 (1967)

3. Smale, S: Differentiable dynamical systems. Bull. Am. Math. Soc. 73, 747-817 (1967)

4. Deng, XQ, Cheng, G: Homoclinic orbits for second order discrete Hamiltonian systems with potential changing sign. Acta Appl. Math. 103, 301-314 (2008)

5. Lin, GH, Zhou, Z: Homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite higher dimensional lattices. Abstr. Appl. Anal. 2014, Article ID 436529 (2014)

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