非自治中立型无穷时滞泛函微分方程的加权伪概自守解

Yong‐Kui Chang、Gaston Mandata N'GURKATA、Rui Zhang

2013Scientia Sinica MathematicaMathematics被引 14

摘要

We first introduce the notion of Stepanov-like weighted pseudo almost automorphic functions of class h and the notion of Stepanov-like weighted pseudo almost automorphic functions of class ∞, and then establish some basic results not only on the completeness of the space that consists of the Sp -weighted pseudo almost automorphic functions of class h and class ∞ but also on the compositions of such functions. Finally, we apply the abstract results to prove the existence and uniqueness of weighted pseudo almost automorphic solutions with Sp -weighted pseudo almost automorphic coefficients to a non-autonomous first-order abstract partial neutral functional differential equation with infinite delay.

引用本文（GB/T 7714）

Yong‐Kui Chang, Gaston Mandata N'GURKATA, Rui Zhang. 非自治中立型无穷时滞泛函微分方程的加权伪概自守解[J]. Scientia Sinica Mathematica, 2013.

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DOI：https://doi.org/10.1360/012013-9

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