Pseudo almost automorphic and weighted pseudo almost automorphic mild solutions to a partial functional differential equation in Banach spaces | Zendy

YongKui Chang | Zendy; Zhi-Han Zhao | Zendy; Juan J. Nieto | Zendy; Zhiwei Liu | Zendy

Open Access

Pseudo almost automorphic and weighted pseudo almost automorphic mild solutions to a partial functional differential equation in Banach spaces

Author(s) -

YongKui Chang,

Zhi-Han Zhao,

Juan J. Nieto,

Zhiwei Liu

Publication year - 2012

Publication title -

the journal of nonlinear sciences and applications

Language(s) - English

Resource type - Journals

eISSN - 2008-1901

pISSN - 2008-1898

DOI - 10.22436/jnsa.005.01.02

Subject(s) - mathematics , automorphic l function , banach space , pure mathematics , langlands–shahidi method , converse theorem , mathematical analysis , automorphic form

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. c ©2012 NGA. All

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