Pseudo almost automorphic and weighted pseudo almost automorphic mild solutions to a partial functional differential equation in Banach spaces
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Authors
Yong-Kui Chang
- Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, Ginsu, China.
Zhi-Han Zhao
- Institute of Mathematics and Information Engineering, Sanming University, Sanming,365004, Fujian, China.
Juan J. Nieto
- Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela, 15782, Spain.
Zhi-Wei Liu
- Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China.
Abstract
In this paper we prove some existence and uniqueness results for pseudo almost automorphic and weighted
pseudo almost automorphic mild solutions to a class of partial functional differential equation in Banach
spaces. The main technique is based upon some appropriate composition theorems combined with the
Banach contraction mapping principle and fractional powers of operators.
Share and Cite
ISRP Style
Yong-Kui Chang, Zhi-Han Zhao, Juan J. Nieto, Zhi-Wei Liu, Pseudo almost automorphic and weighted pseudo almost automorphic mild solutions to a partial functional differential equation in Banach spaces, Journal of Nonlinear Sciences and Applications, 5 (2012), no. 1, 14--26
AMA Style
Chang Yong-Kui, Zhao Zhi-Han, Nieto Juan J., Liu Zhi-Wei, Pseudo almost automorphic and weighted pseudo almost automorphic mild solutions to a partial functional differential equation in Banach spaces. J. Nonlinear Sci. Appl. (2012); 5(1):14--26
Chicago/Turabian Style
Chang, Yong-Kui, Zhao, Zhi-Han, Nieto, Juan J., Liu, Zhi-Wei. "Pseudo almost automorphic and weighted pseudo almost automorphic mild solutions to a partial functional differential equation in Banach spaces." Journal of Nonlinear Sciences and Applications, 5, no. 1 (2012): 14--26
Keywords
- Pseudo almost automorphic
- Weighted pseudo almost automorphic
- Partial functional differential equations
- Fractional powers of operators.
MSC
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