Almost automorphic and pseudo-almost automorphic mild solutions to an abstract differential equation in Banach spaces |
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| Authors: | Zhi-Han Zhao Yong-Kui Chang Juan J Nieto |
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| Institution: | 1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, PR China;2. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela, 15782, Spain |
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| Abstract: | In this paper we prove some existence results for almost automorphic and pseudo-almost automorphic mild solutions to a class of abstract differential equations in Banach spaces. The main technique is based on some composition theorems combined with the contraction mapping theorem. Finally, we present an application to a semilinear partial differential equation with Dirichlet conditions. |
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