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Weighted pseudo almost periodic mild solutions of semilinear evolution equations with nonlocal conditions |
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| Authors: | Jing-huai Liu Xiao-qiu Song |
| Institution: | a College of Science, China University of Mining and Technology, Xuzhou 221008, China b The Personnel Department, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, China c Zhengzhou Technical School for Surveying and Mapping, Zhengzhou 450015, China |
| Abstract: | In this paper, applying the theory of semigroups of operators to evolution families and Banach fixed point theorem, we prove the existence and uniqueness of the weighted pseudo almost periodic mild solution of the semilinear evolution equation x′(t)=A(t)x(t)+f(t,x(t)) with nonlocal conditions x(0)=x0+g(x) in Banach space X under some suitable hypotheses. |
| Keywords: | 34G20 35B15 43A60 47D03 |
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