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Weighted pseudo almost automorphic solution of an integro-differential equation, with weighted Stepanov-like pseudo almost automorphic forcing term. (English) Zbl 1285.45005
The authors prove the existence and uniqueness of weighted pseudo almost automorphic solutions to an abstract integro-differential equation. The paper generalizes a recent work by S. Abbas [Comput. Math. Appl. 62, No. 5, 2259–2272 (2011; Zbl 1231.45015)]. An example of an integro-partial differential equation is included.

MSC:
45N05 Abstract integral equations, integral equations in abstract spaces
45J05 Integro-ordinary differential equations
45K05 Integro-partial differential equations
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