J4 ›› 2013, Vol. 48 ›› Issue (12): 30-34.

• Articles • Previous Articles     Next Articles

Existence and uniqueness of almost automorphic mild solutions to
a class of semilinear integro-differential equations

LI Xi-liang1,2, HAN Yu-liang2   

  1. 1. College of Mathematics and Science, Shanghai Normal University, Shanghai 200235, China;
    2. School of Mathematics and Information Science, Shandong Institute of
    Business and Technology, Yantai 264005, Shandong, China
  • Received:2012-12-19 Online:2013-12-20 Published:2014-01-09

Abstract:

Sufficient conditions for the existence and uniqueness of almost automorphic mild solution to a class of semilinear integro-differential equations are established. The asymptotic stability property of the uniqueness almost automorphic mild solution is analyzed.

Key words: integro-differential equations; almost automorphic functions; exponential stability; mild solutions

CLC Number: 

  • O175.6
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