Generalized almost periodic and generalized asymptotically almost periodic type functions in Lebesgue spaces with variable exponents $L^{p(x)}$

Autor:	Diagana, Toka, Kostić, Marko
Rok vydání:	2019
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	In the paper under review, we introduce the notions of various types of generalized (asymptotical) almost periodicity with variable exponents. We define and thoroughly analyze an important subclass of (asymptotically) Stepanov almost periodic functions which contains all (asymptotically) almost periodic functions. We provide a great number of relevant applications to abstract Volterra integro-differential equations in Banach spaces. Comment: arXiv admin note: text overlap with arXiv:1903.05869
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1903.05873 Zobrazit plný text záznamu View this record from Arxiv