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

2025/02/18 by Cheban, David
#34C27 #34D05 #37B55 #Dynamical Systems (math.DS) #FOS: Mathematics #{37B05

paper · doi:10.48550/arxiv.2502.12585

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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