TY  - JOUR
ID  - Yankson2021
LB  - Yankson2021
AU  - Yankson, Ernest
TI  - Exponential stability results for variable delay difference equations
ST  - Exponential stability results for variable delay difference equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2021
VL  - 41
IS  - 1
SP  - 145
EP  - 155
DO  - https://doi.org/10.7494/OpMath.2021.41.1.145
UR  - https://doi.org/10.7494/OpMath.2021.41.1.145
AB  - 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.
KW  - exponential stability
KW  - Lyapunov functional
KW  - instability
SN  - 1232-9274
ER  -