A Remark on the Qualitative Conditions of Nonlinear Ides
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Date
2020
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Lebanese Univ
Abstract
In this paper, the stability (S), asymptotic stability (AS), uniform stability (US) of null solution and boundedness of solutions of non-linear Volterra integro-differential equations (IDEs) are investigated by means of the Lyapunov-Krasovskii method (LKM). Four new theorems are provided on the mentioned concepts for the considered (IDEs). Compared with past related results in the literature, our conditions are simple, weaker and convenient for testing and applications. The obtained results also improve and extend the past related results. Finally, two numerical examples are provided to illustrate the applications of our results.
Description
Keywords
Id, Stability, Asymptotic Stability, Uniform Stability, Integrability, Boundedness, Lkm, Lkf
Turkish CoHE Thesis Center URL
WoS Q
N/A
Scopus Q
Q4
Source
Volume
15
Issue
3
Start Page
905
End Page
922
