Almost Periodic Solutions of Lattice Dynamical Systems with Monotone Nonlinearity
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909968839475200 |
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| author | Cheban, David Sultan, Andrei |
| author_facet | Cheban, David Sultan, Andrei |
| contents | The aim of this paper is studying the problem of almost periodicity of almost periodic lattice dynamical systems of the form $u_{i}'=ν(u_{i-1}-2u_i+u_{i+1})-λu_{i}+F(u_i)+f_{i}(t)\ (i\in \mathbb Z,\ λ>0)$. We prove the existence a unique almost periodic solution of this system if the nonlinearity $F$ is monotone. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16498 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Almost Periodic Solutions of Lattice Dynamical Systems with Monotone Nonlinearity Cheban, David Sultan, Andrei Dynamical Systems 34D05, 34D45, 34G20, 37B55 The aim of this paper is studying the problem of almost periodicity of almost periodic lattice dynamical systems of the form $u_{i}'=ν(u_{i-1}-2u_i+u_{i+1})-λu_{i}+F(u_i)+f_{i}(t)\ (i\in \mathbb Z,\ λ>0)$. We prove the existence a unique almost periodic solution of this system if the nonlinearity $F$ is monotone. |
| title | Almost Periodic Solutions of Lattice Dynamical Systems with Monotone Nonlinearity |
| topic | Dynamical Systems 34D05, 34D45, 34G20, 37B55 |
| url | https://arxiv.org/abs/2512.16498 |