Periodic Solutions for a Class of Nonautonomous Differential System with Impulses and Time-varying Delays
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- Shao, Y., Li, Y. & Xu, C. Acta Appl Math (2011) 115: 105. doi:10.1007/s10440-010-9598-y
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By employing Mawhin continuation theorem and constructing suitable Lyapunov functions, the existence and globally exponential stability of periodic solution for a class of nonautonomous differential system with impulses and time-varying delays are investigated in this paper. Some applications, an illustrative example and numerical simulations are given to show the effectiveness of the main results.