Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Namjip Koo"'
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We introduce the notion of h-stability for fractional differential systems. Then we investigate the boundedness and h-stability of solutions of Caputo fractional differential systems by using fractional comparison principle and fractional Lyapunov di
Externí odkaz:
https://doaj.org/article/43b5d9b52b2447a0835e41667302dcb3
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
In this paper we study the impulsive stabilization of dynamic equations on time scales via the Lyapunov’s direct method. Our results show that dynamic equations on time scales may be ψ-exponentially stabilized by impulses. Furthermore, we give som
Externí odkaz:
https://doaj.org/article/8d127fb8c37744c7a23666259c979875
Autor:
Sung Kyu Choi, Namjip Koo
Publikováno v:
Journal of Inequalities and Applications, Vol 2010 (2010)
Externí odkaz:
https://doaj.org/article/4f5ca82fc37a46149f0423316e6faef1
Publikováno v:
Abstract and Applied Analysis, Vol 2009 (2009)
We study the total stability in nonlinear discrete Volterra equations with unbounded delay, as a discrete analogue of the results for integrodifferential equations by Y. Hamaya (1990).
Externí odkaz:
https://doaj.org/article/b6a91a2063c5482e87db5dc1d47cc139
Autor:
Namjip Koo, Sung Kyu Choi
Publikováno v:
Advances in Difference Equations, Vol 2008 (2008)
We study the existence of almost periodic solutions for nonlinear discrete Volterra equations with unbounded delay, as a discrete analogue of the results for integro-differential equations by Y. Hamaya (1993).
Externí odkaz:
https://doaj.org/article/75580840dc3e48d787a2a4b845a874d9
Publikováno v:
Advances in Difference Equations, Vol 2008 (2008)
We examine the various types of stability for the solutions of linear dynamic systems on time scales and give two examples.
Externí odkaz:
https://doaj.org/article/5f729c69c0334e15845a49e0da7f48f6
Publikováno v:
Abstract and Applied Analysis, Vol 2008 (2008)
We study the h-stability of dynamic equations on time scales, without the regressivity condition on the right-hand side of dynamic equations. This means that we can include noninvertible difference equations into our results.
Externí odkaz:
https://doaj.org/article/060275cf4960469980bf13b08b9b04d0
Publikováno v:
Advances in Difference Equations, Vol 2007 (2007)
We characterize the h-stability in variation and asymptotic equilibrium in variation for nonlinear difference systems via n∞-summable similarity and comparison principle. Furthermore we study the asymptotic equivalence between nonlinear di
Externí odkaz:
https://doaj.org/article/390216abaa2e4c02981d76d347702fb1
Autor:
Hyunhee Lee, Namjip Koo
Publikováno v:
Dynamic Systems and Applications. 29
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 61:1179-1191
We decompose the topological stability (in the sense of P. Walters) into the corresponding notion for points. Indeed, we define a topologically stable point of a homeomorphism f as a point x such that for any C0-perturbation g of f there is a continu