Abstract
The existence of nonzero localised periodic solutions for general one-dimensional discrete nonlinear Klein–Gordon systems with convex on-site potentials is proved. The existence problem of localised solutions is expressed in terms of a fixed point equation for an operator on some appropriate function space which is solved by means of Schauder’s Fixed Point Theorem.
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Hennig, D. Localised time-periodic solutions of discrete nonlinear Klein–Gordon systems with convex on-site potentials. J. Fixed Point Theory Appl. 23, 31 (2021). https://doi.org/10.1007/s11784-021-00866-0
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DOI: https://doi.org/10.1007/s11784-021-00866-0