Uniform boundedness and stability criteria in terms of two measures for impulsive integro-differential equations1

摘要

This paper establishes several criteria on uniform boundedness and stability in terms of two measures for impulsive integro-differential equations by the method of Lyapunov functions. The interplay of two different measures and the discontinuities of solutions create additional difficulties in choosing suitable minimal set of functions along which the derivative of the Lyapunov function is estimated. Consequently, very complicated analysis is required in the proof of the theorems.