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Elements of Lyapunov stability theory for dynamic equations on time scale |
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| Authors: | M. Bohner A. A. Martynyuk |
| Affiliation: | (1) University of Missouri-Rolla, USA;(2) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv |
| Abstract: | Stability of dynamic equations on time scale is analyzed. The main results are new conditions of stability, uniform stability, and uniform asymptotic stability for quasilinear and nonlinear systems On the occasion of the 150th birthday of A. M. Lyapunov __________ Translated from Prikladnaya Mekhanika, Vol. 43, No. 9, pp. 3–27, September 2007. |
| Keywords: | dynamic equations on time scales stability uniform stability asymptotic stability nonlinear integral inequality Lyapunov functions |
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