Title :
Almost periodic and asymptotically almost periodic mild solutions for nonlinear abstract functional differential equations with infinite delay
Author :
Xiao, Peng ; Du, Yanfei
Author_Institution :
Dept. of Math., Shaanxi Univ. of Sci. & Technol., Xi´´an, China
Abstract :
In this paper we study a class of nonlinear abstract functional differential equations with infinite delay. Some sufficient conditions for the existence and uniqueness of almost periodic and asymptotically almost periodic mild solutions for the equation are obtained by using the contraction fixed point theorem.
Keywords :
differential equations; asymptotically almost periodic mild solutions; contraction fixed point theorem; infinite delay; nonlinear abstract functional differential equations; Computational modeling; Delay; Differential equations; Equations; Mathematical model; Publishing; Almost periodic; Asymptotically almost periodic; Infinite delay; Nonlinear abstract functional differential equation;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002372
