Abstract
Dichotomic maps are used to check the stability of ordinary differential equations and difference equations. In this paper, this method is extended to dynamic equations on time scales; the stability and asymptotic stability to the trivial solution of the first order system of dynamic equations are examined using dichotomic and strictly dichotomic maps. This method, in dynamic equations, also involves Lyapunov’s direct method.
Recommended Citation
Hatipoğlu, Veysel F.; Koçak, Zeynep F.; and Uçar, Deniz
(2012).
On Stability of Dynamic Equations on Time Scales Via Dichotomic Maps,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 7,
Iss.
2, Article 2.
Available at:
https://digitalcommons.pvamu.edu/aam/vol7/iss2/2