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arXiv · 2512.16498

Almost Periodic Solutions of Lattice Dynamical Systems with Monotone Nonlinearity

David Cheban·Andrei Sultan
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Abstract

The aim of this paper is studying the problem of almost periodicity of almost periodic lattice dynamical systems of the form $u_{i}'=\nu (u_{i-1}-2u_i+u_{i+1})-\lambda u_{i}+F(u_i)+f_{i}(t)\ (i\in \mathbb Z,\ \lambda >0)$. We prove the existence a unique almost periodic solution of this system if the nonlinearity $F$ is monotone.

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David Cheban, Andrei Sultan. 2025-12-18. Almost Periodic Solutions of Lattice Dynamical Systems with Monotone Nonlinearity. https://arxiv.org/abs/2512.16498

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