Communications in Mathematical Analysis

Exponential Stability in Functional Dynamic Equations On Time Scales

Elvan Akın--Bohner , Youssef N. Raffoul , and Christopher Tisdell

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Abstract

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.

Article information

Source
Commun. Math. Anal., Volume 9, Number 1 (2010), 93-108.

Dates
First available in Project Euclid: 21 April 2010

Permanent link to this document
https://projecteuclid.org/euclid.cma/1271890721

Mathematical Reviews number (MathSciNet)
MR2640308

Zentralblatt MATH identifier
1194.34173

Subjects
Primary: 39A10

Keywords
measure chains time scales Lyapunov functionals non-negative definite exponential stability Volterra integro-dynamic equations

Citation

Akın--Bohner , Elvan; Raffoul , Youssef N.; Tisdell , Christopher. Exponential Stability in Functional Dynamic Equations On Time Scales. Commun. Math. Anal. 9 (2010), no. 1, 93--108. https://projecteuclid.org/euclid.cma/1271890721


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