Journal of Guangxi Normal University(Natural Science Edition) ›› 2012, Vol. 30 ›› Issue (4): 48-53.

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Positive Almost Periodic Solutions for a Class of Integro-differential Equation with Impulses and Infinite Delays

XUE Jin-dong, FENG Chun-hua   

  1. College of Mathematical Science,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2012-07-01 Published:2018-11-27

Abstract: :By applying the theory of exponential dichotomy and the fixed point theorem,the existence and uniqueness of positive almost periodic solutions for a class of integro-differential equation with impulses and infinite delays is investigated.A sufficient condition which ensures theexistence of positive almost periodic solutions is derived.The conclusion madein the relevant documents is extended.

Key words: exponential dichotomy, the fixed point theorem, almostperiodic solution, impulsive effect, delay

CLC Number: 

  • O175.1
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