TY - JOUR AU - Ebiendele, Peter E. PY - 2016/04/16 Y2 - 2024/03/29 TI - Sufficient Conditions for the Stability of Trivial Solutions of a Certain Class of Nonlinear Delay Differential Equations JF - Asian Journal of Fuzzy and Applied Mathematics JA - AJFAM VL - 4 IS - 2 SE - Articles DO - UR - https://ajouronline.com/index.php/AJFAM/article/view/2781 SP - AB - 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). ER -