New results on time scales of pseudo Weyl almost periodic solution of delayed QVSICNNs

被引：29

作者：

Arbi, Adnene ^{[1
,2
]}

Tahri, Najeh ^{[1
]}

机构：

[1] Univ Carthage, Tunisia Polytech Sch, Lab Engn Math LR01ES13, Carthage, Tunisia

[2] Univ Carthage, Natl Sch Adv Sci & Technol Borj Cedria, Carthage, Tunisia

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2022年 / 41卷 / 06期

关键词：

Quaternion-valued shunting inhibitory cellular neural networks; Pseudo Weyl almost periodic; Time space scales; CELLULAR NEURAL-NETWORKS; NEUTRAL-TYPE; VARYING DELAYS; SPACE SCALES; MIXED DELAYS; EQUATIONS; STABILITY;

D O I：

10.1007/s40314-022-02003-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the problems of investigation of pseudo Weyl almost periodic solution of quaternion-valued shunting inhibitory model of type cellular neural networks with time-varying delays on time space scales are considered. We first introduce the notion of pseudo Weyl almost periodicity on time scales. Next, using fixed point theorem, the theory of time scales, Holder's inequality and Gronwall's inequality, we give sufficient conditions for the existence and the stability. Finally, we present a numerical application to illustrate the feasibility of our outcomes.

引用

页数：22

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