%0 Journal Article
%T Sufficient Conditions for the Stability of Trivial Solutions of a Certain Class of Nonlinear Delay Differential Equations
%A Peter E. Ebiendele
%J Asian Journal of Fuzzy and Applied Mathematics
%D 2016
%X 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)
%K [Stability
%K Trivial solution
%K nonlinear delay differential equations
%K (DDES) Perturbation
%K linear and homogeneous system]
%U https://www.ajouronline.com/index.php/AJFAM/article/view/2781