Almost periodic type functions of several variables and applications

被引：4

作者：

Chavez, Alan ^{[1
,2
]}

Khalil, Kamal ^{[3
]}

Kostic, Marko ^{[4
]}

Pinto, Manuel ^{[5
]}

机构：

[1] Univ Nacl Trujillo, Inst Invest Matemat, Av Juan Pablo II S-N Urbanizac San Andres, Trujillo 13011, Peru

[2] Univ Nacl Trujillo, Dept Matemat FCFYM, Av Juan Pablo II S-N Urbanizac San Andres, Trujillo 13011, Peru

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

[4] Univ Novi Sad, Fac Tech Sci, Trg D Obradovica 6, Novi Sad 21000, Serbia

[5] Univ Chile, Fac Ciencias, Dept Matemat, Palmeras 3425 Nunoa, Santiago 7800003, Chile

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 525卷 / 01期

关键词：

functions; (R X; 13)-multi-almost periodic type; Bohr 13-almost periodic type; Composition principles; Hamilton-Jacobi equation; Abstract integral equations; (R 13)-multi-almost periodic type; DIFFERENTIAL-EQUATIONS; VISCOSITY SOLUTIONS;

D O I：

10.1016/j.jmaa.2023.127115

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present and analyze several new types of almost periodic functions in several variables, namely: (RX, 13 )-almost periodic functions, Bohr 13-almost periodic functions, uniformly recurrent 13-almost periodic functions, strongly 13almost periodic functions, where RX is a non-empty collection of sequences in Rn x X, 13 denotes a non-empty collection of non-empty subsets of X, and X is a Banach space. We present their principal structural characterizations, their composition principles and invariance under convolution products. After that, we provide several applications of our abstract theoretical results to partial differential equations and to the abstract integral equations in Banach spaces. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：35

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