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arXiv · 2502.12585

Two-sided Remotely Almost Periodic Solutions of Ordinary Differential Equations in Banach Spaces

David Cheban
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Abstract

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".

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David Cheban. 2025-02-18. Two-sided Remotely Almost Periodic Solutions of Ordinary Differential Equations in Banach Spaces. https://arxiv.org/abs/2502.12585

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