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2019 | OriginalPaper | Chapter

Lyapunov Functionals and Stability in Finite Delays Difference Equations

Author : Youssef N. Raffoul

Published in: Difference Equations, Discrete Dynamical Systems and Applications

Publisher: Springer International Publishing

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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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previous chapter On Splitting with Different Growth Rates for Linear Discrete-Time Systems in Banach Spaces

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Title: Lyapunov Functionals and Stability in Finite Delays Difference Equations
Author: Youssef N. Raffoul
Publisher: Springer International Publishing
Book: Difference Equations, Discrete Dynamical Systems and Applications
Print ISBN: 978-3-030-20015-2

Electronic ISBN: 978-3-030-20016-9

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-3-030-20016-9_16

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