Stepanov multi-dimensional almost periodic functions and applications

被引：2

作者：

Chavez, Alan ^{[1
]}

Khalil, Kamal ^{[2
]}

Kostic, Marko ^{[3
]}

Pinto, Manuel ^{[4
]}

机构：

[1] Univ Nacl Trujillo, Fac Ciencias Fisicas & Matemat, Dept Matemat, Trujillo, Peru

[2] Univ Le Havre Normandie, FR CNRS 3335, LMAH, ISCN, F-76600 Le Havre, France

[3] Univ Novi Sad, Fac Tech Sci, Trg D Obradoviea 6, Novi Sad 21125, Serbia

[4] Univ Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

来源：

FILOMAT | 2023年 / 37卷 / 12期

关键词：

Stepanov multi-dimensional almost periodic type functions; Lebesgue spaces with variable exponents; abstract Volterra integro-differential equations; SPACES; LEBESGUE;

D O I：

10.2298/FIL2312681C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyze several various classes of Stepanov multi-dimensional almost periodic functions in Lebesgue spaces with variable exponents. The introduced classes seem to be new and not considered elsewhere even in the case that the exponent p(center dot) has a constant value. We provide certain applications to the abstract (degenerate) Volterra integro-differential equations in Banach spaces.

引用

页码：3681 / 3713

页数：33

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