In present paper

we apply the conflnuous function V(x) with definite sign

but not always differentiableto discuss the stability of the zero solution of given non-autonomous system.We obtain that the zero so-lution of given equation is stable

if V(x(t) is monotonic about t

where x(t) is the solution of thesame sytem.For some V(x)

we give the sufficient conditions that the V(x(t))is monotonic about t

from which the problem of stability can be solved.