Sufficient Conditions for the Stability of Trivial Solutions of a Certain Class of Nonlinear Delay Differential Equations

Authors

  • Peter E. Ebiendele Department of Mathematics and APPLIED Sciences, FEDERAL POLYTECHNIC AUCHI EDO STATE, SOUTH-WEST

Keywords:

Stability, Trivial solution, nonlinear delay differential equations, (DDES) Perturbation, linear and homogeneous system

Abstract

In this  paper  we study  the stability of a trivial solution of  certain  nonlinear delay differential equations of the form where for us to improves on the existence literature, equation (1.1) was re-written as a perturbation of the linear homogeneous system of the form and and we use existences an uniqueness theorem of a linear system to establish sufficient conditions that guarantee the stability of the trivial solutions of a certain class of nonlinear delay differential equations. The goal of this paper is to give a simple criterion for the stability of (1.1) when re-written as a perturbation of a linear homogeneous system of the form (1.3) and (1.4).

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Published

2016-04-16

How to Cite

Ebiendele, P. E. (2016). Sufficient Conditions for the Stability of Trivial Solutions of a Certain Class of Nonlinear Delay Differential Equations. Asian Journal of Fuzzy and Applied Mathematics, 4(2). Retrieved from https://ajouronline.com/index.php/AJFAM/article/view/2781

Issue

Vol. 4 No. 2 (2016): April 2016

Section

Articles

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