New and Improved Criteria on Fundamental Properties of Solutions of Integro-Delay Differential Equations with Constant Delay

被引：12

作者：

Tunc, Cemil ^{[1
]}

Wang, Yuanheng ^{[2
]}

Tunc, Osman ^{[3
]}

Yao, Jen-Chih ^{[4
]}

机构：

[1] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[3] Van Yuzuncu Yil Univ, Dept Comp Programing, Baskale Vocat Sch, TR-65080 Van, Turkey

[4] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 404332, Taiwan

来源：

MATHEMATICS | 2021年 / 9卷 / 24期

基金：

中国国家自然科学基金;

关键词：

non-linear system; IDDEs; constant delay; LKF; stability; instability; integrability; boundedness; STABILITY; SYSTEMS;

D O I：

10.3390/math9243317

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with certain non-linear unperturbed and perturbed systems of integro-delay differential equations (IDDEs). We investigate fundamental properties of solutions such as uniformly stability (US), uniformly asymptotically stability (UAS), integrability and instability of the un-perturbed system of the IDDEs as well as the boundedness of the perturbed system of IDDEs. In this paper, five new and improved fundamental qualitative results, which have less conservative conditions, are obtained on the mentioned fundamental properties of solutions. The technique used in the proofs depends on Lyapunov-Krasovski functionals (LKFs). In particular cases, three examples and their numerical simulations are provided as numerical applications of this paper. This paper provides new, extensive and improved contributions to the theory of IDDEs.

引用

页数：20

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