Existence of time periodic solutions for a class of non-resonant discrete wave equations-Reference-Cited by-同舟云学术

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Existence of time periodic solutions for a class of non-resonant discrete wave equations

Published:2015-04-17 Issue:1 Volume:2015 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Zhang Guang,Feng Wenying,Yan Yubin

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13662-015-0457-z.pdf

Reference25 articles.

1. Vitt VA: Distributed self-oscillating systems. Zh. Tekh. Fiz. 1934, 4: 144–157.

2. Rabinowitz P: Periodic solutions of nonlinear hyperbolic partial differential equations. Commun. Pure Appl. Math. 1967, 20: 145–205. 10.1002/cpa.3160200105

3. Brézis H, Coron JM: Periodic solutions of nonlinear wave equations and Hamiltonian systems. Am. J. Math. 1981, 103(3):559–570. 10.2307/2374104

4. Berti M, Bolle P: Cantor families of periodic solutions for completely resonant nonlinear wave equations. Duke Math. J. 2006, 134: 359–419. 10.1215/S0012-7094-06-13424-5

5. Gentile G, Mastropietro V: Construction of periodic solutions of nonlinear wave equation with Dirichlet boundary conditions by the Lindstedt series method. J. Math. Pures Appl. 2004, 83: 1019–1065. 10.1016/j.matpur.2004.01.007

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