Pseudo almost periodic solutions for a class of differential equation with delays depending on state

Advances in Nonlinear Analysis

article

Hou Yu Zhao¹ 

[1] School of Mathematics, Chongqing Normal University

关键词: Iterative differential equation;    pseudo almost periodic solutions;    fixed point theorem;   

DOI  :  10.1515/anona-2020-0049

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

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 a class of iterative functional differential equations of the form x′(t)=∑n=1k∑l=1∞Cl,n(t)(x[n](t))l+G(t), $$\begin{array}{} \displaystyle x'(t)=\sum_{n=1}^k\sum_{l=1}^\infty C_{l, n}(t)(x^{[n]}(t))^l+G(t), \end{array}$$ where x [ n ] ( t ) denotes n th iterate of x ( t ).

【 授权许可】

CC BY