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Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions
Authors:Hui-Sheng Ding  Ti-Jun Xiao
Affiliation:a Department of Mathematics, University of Science and Technology of China, Hefei 230026, People's Republic of China
b Department of Mathematics, JiangXi Normal University, NanChang 330027, People's Republic of China
Abstract:Of concern is a class of abstract semilinear integrodifferential equations with nonlocal initial conditions. Under some suitable hypotheses, we establish some new theorems about the existence of asymptotically almost automorphic solutions to the integrodifferential equations. Moreover, an example is given to illustrate our results.
Keywords:Almost automorphic   Asymptotically almost automorphic   Integrodifferential equations   Nonlocal initial conditions
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