Two-sided Remotely Almost Periodic Solutions of Ordinary Differential Equations in Banach Spaces
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916619258691584 |
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| author | Cheban, David |
| author_facet | Cheban, David |
| contents | The aim of this paper is studying the two-sided remotely almost periodic solutions of ordinary differential equations in Banach spaces of the form $x'=A(t)x+f(t)+F(t,x)$ with two-sided remotely almost periodic coefficients if the linear equation $x'=A(t)x$ satisfies the condition of exponential trichotomy and nonlinearity $F$ is "small". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12585 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-sided Remotely Almost Periodic Solutions of Ordinary Differential Equations in Banach Spaces Cheban, David Dynamical Systems {37B05, 37B55, 34C27, 34D05 The aim of this paper is studying the two-sided remotely almost periodic solutions of ordinary differential equations in Banach spaces of the form $x'=A(t)x+f(t)+F(t,x)$ with two-sided remotely almost periodic coefficients if the linear equation $x'=A(t)x$ satisfies the condition of exponential trichotomy and nonlinearity $F$ is "small". |
| title | Two-sided Remotely Almost Periodic Solutions of Ordinary Differential Equations in Banach Spaces |
| topic | Dynamical Systems {37B05, 37B55, 34C27, 34D05 |
| url | https://arxiv.org/abs/2502.12585 |