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Tang, Chun-Lei; Guo, Boling

Multiple periodic solutions for two-dimensional lattice dynamic systems. (English) Zbl 1107.34036

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 7, 1306-1317 (2006).
The authors establish existence results for infinitely many periodic motions for a two-dimensional lattice of \(M\times N\) particles with nearest-neighbor interaction.
Reviewer: Gani T. Stamov (Sliven)

Cited in 2 Documents

MSC:

34C25 Periodic solutions to ordinary differential equations
34A35 Ordinary differential equations of infinite order
37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010)

Keywords:

two-dimensional lattice
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\textit{C.-L. Tang} and \textit{B. Guo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 7, 1306--1317 (2006; Zbl 1107.34036)
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References:

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