Abstract
In this research we prove general theorems regarding the stability of the zero solution of a functional difference equation with finite delay. In the analysis we assume the existence of a Lyapunov functional that satisfies certain conditions. Results on finite delay difference equations using Lyapunov functions or functionals are scarce. We apply our results to finite delay difference equations and to Volterra difference equations with finite delays.
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Raffoul, Y.N. (2019). Lyapunov Functionals and Stability in Finite Delays Difference Equations. In: Elaydi, S., Pötzsche, C., Sasu, A. (eds) Difference Equations, Discrete Dynamical Systems and Applications. ICDEA 2017. Springer Proceedings in Mathematics & Statistics, vol 287. Springer, Cham. https://doi.org/10.1007/978-3-030-20016-9_16
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