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

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 twosided remotely almost periodic coefficients if the linear equation x′ = A(t)x satisfies the condition of exponential trichotomy and nonlinearity F is sufficiently ”small”.