Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2017-07-17
On Different Types of Stability for Linear Delay Dynamic EquationsElena Braverman and Bașak Karpuz (1) University of Calgary, Canada
(2) Dokuz Eylul University, Izmir, Turkey
We provide explicit conditions for uniform stability, global asymptotic stability and uniform exponential stability for dynamic equations with a single delay and a non-negative coefficient. Some examples on nonstandard time scales are also given to show applicability and sharpness of the new results.
Keywords: Delay dynamic equations, global stability, uniform exponential stability, global asymptotic stability
Braverman Elena, Karpuz Bașak: On Different Types of Stability for Linear Delay Dynamic Equations. Z. Anal. Anwend. 36 (2017), 343-375. doi: 10.4171/ZAA/1592