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Exponential stability in functional dynamic equations on time scales. (English) Zbl 1194.34173

Summary: 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.

MSC:

34N05 Dynamic equations on time scales or measure chains
34K20 Stability theory of functional-differential equations

Keywords:

time scales
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Full Text: Euclid

References:

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