Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations

The exponential stability of singularly perturbed impulsive delay integrodifferential equations (SPIDIDEs) is concerned. By establishing an impulsive delay integrodifferential inequality (IDIDI), some sufficient conditions ensuring the exponentially stable of any solution of SPIDIDEs for sufficiently small ε>0 are obtained. A numerical example shows the effectiveness of our theoretical results.