Multi-dimensional ρ-almost periodic type functions and applications

被引：5

作者：

Feckan, M. ^{[1
]}

Khalladi, M. T. ^{[2
]}

Kostic, M. ^{[3
]}

Rahmani, A. ^{[4
]}

机构：

[1] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Bratislava, Slovakia

[2] Univ Adrar, Dept Math & Comp Sci, Adrar, Algeria

[3] Univ Novi Sad, Fac Tech Sci, Novi Sad, Serbia

[4] Univ Adrar, Lab Math Modeling & Applicat LaMMA, Adrar, Algeria

来源：

APPLICABLE ANALYSIS | 2022年

关键词：

Multi-dimensional rho-almost periodic functions; multi-dimensional; (omega; rho)-almost periodic functions; (omega(j); rho(j))(j is an element of Nn)-periodic functions; abstract Volterra integro-differential equations; DIFFERENTIAL-EQUATIONS; BLOW-UP; SPACE; UNIQUENESS; EXISTENCE; OPERATOR; SYSTEM;

D O I：

10.1080/00036811.2022.2103678

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyze various classes of multi-dimensional rho-almost periodic type functions F : I x X -> Y and multi-dimensional (omega, rho)-almost periodic type functions F : I x X -> Y, where n is an element of N, (empty set) not equal I subset of R-n, X and Y are complex Banach spaces and rho is a binary relation on Y. The proposed notion is new even in the one-dimensional setting, for the functions of the form F : I -> Y. The main structural properties and characterizations for the introduced classes of functions are presented. We provide certain applications of our theoretical results to the abstract Volterra integro-differential equations, as well.

引用

页码：142 / 168

页数：27

共 60 条

[1]

Agaoglou M, 2020, INT J DYN SYST DIFFE, V10, P149

[2] Forced symmetric oscillations of evolution equations [J].