Title :
Stability of Nabla Dynamic Equations on Time Scales and Its Application in Cobweb Model
Author :
Liu, Ailian ; Zhou, Guangxu
Author_Institution :
Sch. of Stat. & Math., Shandong Economic Univ., Jinan, China
Abstract :
This article is concerned with the asymptotic stability of a class of nabla dynamic equations on time scales. By the use of Lyapunov direct method on time scales, some criteria on stability of the first-order linear dynamic equations are obtained, which extend the present results. The cobweb model is illustrated in the end.
Keywords :
Lyapunov methods; asymptotic stability; Cobweb model; Lyapunov direct method; asymptotic stability; first-order linear dynamic equations; nabla dynamic equations; time scales; Asymptotic stability; Automation; Calculus; Difference equations; Differential equations; Mathematical model; Mathematics; Stability criteria; Statistics; Telephony;
Conference_Titel :
Computational Intelligence and Software Engineering, 2009. CiSE 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4507-3
Electronic_ISBN :
978-1-4244-4507-3
DOI :
10.1109/CISE.2009.5364859