MMN-2047

Pseudo almost periodic solutions of an iterative equation with variable coefficients

Hou Yu Zhao; Michal Feckan;

Abstract

In this paper, the exponential dichotomy, and Tikhonov and Banach fixed point theorems are used to study the existence and uniqueness of pseudo almost periodic solutions of nonhomogeneous iterative functional differential equations of the form $x'(t)=\lambda_1(t)x(t)+\lambda_2(t)x^{[2]}(t)+\ldots+\lambda_n(t)x^{[n]}(t)+f(t)$.


Vol. 18 (2017), No. 1, pp. 515-524
DOI: https://doi.org/10.18514/MMN.2017.2047


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