New Zealand Journal of Mathematics

New Zealand Journal of Mathematics (Online)

Mohamed Zitane¹ 

[1]Moulay Ismaïl University

关键词: weighted pseudo-almost automorphy;    Lebesgue space with variable exponents;    Stepanov-like pseudo-almost automorphy with variable exponents.;   

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

In this paper we introduce and study a new class of functions called weighted Stepanov-like pseudo-almost automorphic functions with variable exponents, which generalizes the class of weighted Stepanov-like pseudo-almost automorphic functions. Basic properties of these new spaces are established. The existence of weighted pseudo-almost automorphic solutions to some first-order differential equations with Sp,q(x)-pseudo-almost automorphic coefficients will also be studied.

【 授权许可】

Unknown