@Article{Yankson2021,
author = "Yankson, Ernest",
title = "Exponential stability results for variable delay difference equations",
journal = "Opuscula Math.",
year = "2021",
volume = "41",
number = "1",
pages = "145--155",
doi = "https://doi.org/10.7494/OpMath.2021.41.1.145",
url = "https://doi.org/10.7494/OpMath.2021.41.1.145",
abstract = "Sufficient conditions that guarantee exponential decay to zero of the variable delay difference equation \[x(n+1)=a(n)x(n)+b(n)x(n-g(n))\] are obtained. These sufficient conditions are deduced via inequalities by employing Lyapunov functionals. In addition, a criterion for the instability of the zero solution is established. The results in the paper generalizes some results in the literature.",
keywords = "exponential stability, Lyapunov functional, instability",
issn = "1232-9274"
}