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Translation equation on monoids

Andrzej Mach, Zenon Moszner (2004)

Annales Polonici Mathematici

We give large classes of solutions of the translation equation on a monoid satisfying the identity condition.

Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications

Yanli He, Kun Li (2021)

Applications of Mathematics

In this paper, we are concerned with the existence of traveling waves in a class of delayed higher dimensional lattice differential systems with competitive interactions. Due to the lack of quasimonotonicity for reaction terms, we use the cross iterative and Schauder's fixed-point theorem to prove the existence of traveling wave solutions. We apply our results to delayed higher-dimensional lattice reaction-diffusion competitive system.

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