Exponential Stability in Functional Dynamic Equations on Time Scales
We are interested in the exponential stability of the zero solution of a functional dynamic equation on a time scale, a nonempty closed subset of real numbers. The approach is based on suitable Lyapunov functionals and certain inequalities. We apply our results to obtain exponential stability in Volterra integrodynamic equations on time scales.
E. Akin et al., "Exponential Stability in Functional Dynamic Equations on Time Scales," Communications in Mathematical Analysis, Duke University Press, Jan 2010.
Mathematics and Statistics
Keywords and Phrases
measure chains; time scales; Lyapunov functionals; non-negative definite; exponential stability; Volterra integro-dynamic equations
Article - Journal
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01 Jan 2010