الفهرس 
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Abstract
The study deals with the stability of motion of the zero solution of the system of differential equations = f (t. x) where t is real denoting time and x is a vector with components x, x 2... Xn.
Results are given as reprds the stability of solute of the non-limber differential equations t = Ai + X (t, x) which is the first approximation of the above sfttem.
A is a square matrix of order +11 and X (t,x) is a continuous vector function with continuous partial derivatives with respect to the components of x. Lie stability of the zero solution of this non-linear system as well as other systems is studied, under specified conditions, by Lyapanov, ’. Xrasowooky and Nasal.
The results are presented and two theorems have been proved concerned with the stability of Antoine for the non-zero and periodic solutions of a system given by Nassif.