On the stability of impulsive functional differential equations with infinite delays

By Xiaodi Li, Tomás Caraballo, Rajan Rakkiyappan, Xiu-ping Han. 2015

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In this paper, the stability problem of impulsive functional differential equations with infinite delays is considered. By using Lyapunov functions and the Razumikhin technique, some new theorems on the uniform stability and uniform asymptotic stability are obtained. The obtained results are milder and more general than several recent works. Two examples are given to demonstrate the advantages of the results. Copyright © 2014 John Wiley & Sons, Ltd.

Subfields: Applied Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/a7659dff28dd3bc3c4ea4aefb4c9ce5d1360cdf1