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New and Improved Criteria on Qualitative Results for Functional-Differential Systems

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Date

2022

Journal Title

Journal ISSN

Volume Title

Publisher

Cambridge Scientific Publishers

Abstract

In this paper, certain systems of functional differential equations (FDEs) with multiple constant delays are considered. Using the Lyapunov Krasovskiˇi functionals (LKFs), new and improved Lyapunov-Krasovskiˇi type fundamental criteria of uniformly stability (US), uniformly asymptotically stability (UAS), integrability and boundedness of solutions are obtained, respectively. Here, four new theorems are presented as complements of some related results in the past literature. Finally, we verify our results by giving two numerical examples with plots of paths of solutions. © CSP - Cambridge, UK; I&S - Florida, USA, 2022

Description

Keywords

Boundedness, Integrability, Lkf, Multiple Constant Delays, System Of Ddes, Uas, Us

Turkish CoHE Thesis Center URL

WoS Q

N/A

Scopus Q

Q4

Source

Nonlinear Studies

Volume

29

Issue

1

Start Page

289

End Page

302