The authors consider the impulsive FDE of the form
, denotes the right-hand derivative, is a continuous functional defined in the appropriate space, . It is supposed that the IVP has a unique solution which can be continued to . The initial function is piecewise continuous.
The zero solution is said to be weak exponentially stable if for any and such that implies for and some and a strictly increasing . If we obtain the exponential stability.
Two theorems on the weak exponential stability are proved. The paper ends with two illustrative examples. There are many misprints.