Stability of Periodic solutions by Krasnoselskii fixed point theorem of neutral nonlinear system of dynamical equation with Variable Delays-Reference-Cited by-同舟云学术

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Stability of Periodic solutions by Krasnoselskii fixed point theorem of neutral nonlinear system of dynamical equation with Variable Delays

Published:2024-06-17 Issue:67 Volume: Page:1-13
ISSN:2518-5845
Container-title:المجلة الليبية العالمية
language:
Short-container-title:Glj

Author:

ALI MOHAMMED BEN FAYED AMIRA,A. FARAG ELMANSOURI RAFIK,IMBAYYAH MIFTAH IMHEMED AISHA

Abstract

The fixed point theorem is used in this study to provide stability results for the zero solution of a nonlinear neutral system of differential equations with functional delay.

Publisher

University of Benghazi

Reference19 articles.

1. D. R. Smart. .1980. Fixed Point Theorems. Cambridge University Press.

2. H. Logemann and S. Townley. .1996. The effect of small delays in the feedback loop on the stability of neutral systems. Syst. Control Lett. Vol.27, No. 5. pp. 267–274.

3. H. Logemann and L. Pandol. .1994. A note on stability and stabilizability of neutral systems. IEEE Trans. Automat. Contr.. Vol.39. No.1. pp. 138–143.

4. J. Hale. .1980. Ordinary Differential Equations, Robert E. Krieger Publishing Company. New York . STABILITY FOR A NONLINEAR SYSTEM 261

5. J. K. Hale and S. M. Verduyn Lunel. .1993. Introduction to Functional Differential Equations. Springer Verlag.New York.

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