Asymptotically almost periodic solutions of abstract retarded functional differential equations of first order

2009 ◽  
Vol 10 (4) ◽  
pp. 2441-2454 ◽  
Author(s):  
Hernán R. Henríquez
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Functional Differential Equations ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
First Order ◽  
Retarded Functional Differential Equations ◽  
Functional Differential ◽  
Asymptotically Almost Periodic

scholarly journals Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Junwei Liu ◽  
Chuanyi Zhang
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Functional Differential Equations ◽  
Continuous Operator ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Neutral Functional Differential Equations ◽  
Krasnoselskii’S Fixed Point Theorem ◽  
Exponentially Stable ◽  
Functional Differential

The existence of piecewise almost periodic solutions for impulsive neutral functional differential equations in Banach space is investigated. Our results are based on Krasnoselskii’s fixed-point theorem combined with an exponentially stable strongly continuous operator semigroup. An example is given to illustrate the theory.

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