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Existence of positive almost automorphic solutions to neutral nonlinear integral equations
Authors:Hui-Sheng Ding  Jin Liang  Gaston M N’Guérékata  Ti-Jun Xiao
Institution:1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, People’s Republic of China;2. Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD 21251, USA
Abstract:This paper is concerned with neutral nonlinear delay integral equations. We establish an existence theorem for positive almost automorphic solutions to the equations, which extend some existing results even in the case of almost periodicity. Some examples are given to illustrate our results.
Keywords:45G10  34K14
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