A note on the qualitative behaviors of non-linear Volterra integro-differential equation - Egyptian Knowledge Bank

387157

A note on the qualitative behaviors of non-linear Volterra integro-differential equation

Article

Last updated: 31 Dec 2024

Subjects

Abstract

This paper considers a scalar non-linear Volterra integro-differential equation. We
establish sufficient conditions which guarantee that the solutions of the equation are stable, globally
asymptotically stable, uniformly continuous on [0 , ∞ ) , and belongs to L 1 [0 , ∞ ) and L 2 [0 , ∞ )
and have bounded derivatives. We use the Lyapunov's direct method to prove the main results.
Examples are also given to illustrate the importance of our results. The results of this paper are new
and complement previously known results

DOI

10.1016/j.joems.2014.12.010

Keywords

Volterra Integro-differential equation, Riemann integrable, Bounded derivatives, Lyapunov functional

Volume

Article Issue

Related Issue

51062

Issue Date

2016-06-01

Receive Date

2024-10-20

Publish Date

2016-06-01

Page Start

187

Page End

192

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 2_Pages 187-192.pdf

PDF . 360.5kB

Link

https://joems.journals.ekb.eg/article_387157.html

Detail API

https://joems.journals.ekb.eg/service?article_code=387157

Order

387,157

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle