EXPONENTIAL STABILITY OF DYNAMIC EQUATIONS ON TIME SCALES ALLAN C PETERSON AND YOUSSEF N RAFFOUL pdf

... stability of a dynamic equation (1.1), one can replace condition (1.18) by the necessary and sufficient condition of exponential stability of an exponential function on a time scale given in [12]. Example ... asymptotic stability of dynamic equations on time scales by using calculus on time scales [3, 4] and integral representations of solutions via...

Ngày tải lên: 22/06/2014, 22:20

... Stability of Quasilinear Implicit Dynamic Equations on Time Scales N. H. Du, 1 N. C. Liem, 1 C. J. Chyan, 2 and S. W. Lin 2 1 Department of Mathematics, Mechanics and Informatics, Vietnam National University, ... complicated structure of every time scale. 2. Nonlinear Implicit Dynamic Equations on Time Scales 2.1. Some Basic Notations of the Theory of...

Ngày tải lên: 21/06/2014, 05:20

... 18,18–56 (1990) 2. Bohner, M, Peterson, A: Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser, Boston (2001) 3. Bohner, M, Peterson, A: Advances in Dynamic Equations on Time Scales. ... with Riemann-Stieltjes Δ-integral conditions for second-order dynamic equations on time scales at resonance Yongkun Li * and Jiangye Shu * Correspon...

Ngày tải lên: 20/06/2014, 22:20

... Bohner and A. Peterson, Advances in Dynamic Equations on Time Scales, Birkh ¨ auser, Boston, Mass, USA, 2003. 5 M. Bohner and S. H. Saker, “Oscillation of second order nonlinear dynamic equations ... Equations on Time Scales Taixiang Sun, 1 Hongjian Xi, 2 and Xiaofeng Peng 1 1 College of Mathematics and Information Science, Guangxi University, Nanning, Guan...

Ngày tải lên: 21/06/2014, 05:20

... Delay Dynamic Equations on Time Scales Tongxing Li, 1 Zhenlai Han, 1, 2 Shurong Sun, 1, 3 and Dianwu Yang 1 1 School of Science, University of Jinan, Jinan, Shandong 250022, China 2 School of Control ... Peterson, Dynamic equations on time scales: a survey,” Journal of Computational and Applied Mathematics, vol. 141, no. 1-2, pp. 1–26, 2002. 3 M. Bohner and...

Ngày tải lên: 21/06/2014, 20:20

... of Impulsive Dynamic Equations on Time Scales Hongbo Duan and Hui Fang Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, China Correspondence should ... is organized as follows. In Section 2, we present some preliminary results concerning the time scales calculus and Sobolev’s spaces on time scales. In Secti...

Ngày tải lên: 21/06/2014, 20:20

... in this section generalize and extend some sufficient conditions about oscillation previously established to neutral and nonneutral differential difference and dynamic equations. 4 Oscillation of ... (2004), no. 1, 203–217. [3] M. Bohner and A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applica- tions,Birkh ¨ auser Boston, Massachusetts, 2001. [4] M....

Ngày tải lên: 22/06/2014, 22:20

... Oscillationofalogisticdifference equation with several delays, Advances in Difference Equations 2006 (2006), Article ID 82143, 12 pages. [3] M. Bohner and A. C. Peterson, Dynamic Equations on Time Scales, An Introduction ... we consider only the case where the coefficient function p in (1.1) is nonconstant but bounded. Before stating the main results, we need the following lemma, w...

Ngày tải lên: 22/06/2014, 22:20

... impulsive dynamic equations on time scales. Nonlinear Anal. 69, 4074–4087 (2008) [28] Graef, JR, Ouahab, A: Extremal solutions for nonresonance impulsive functional dy- namic equations on time scales. ... Dynamic Equations on Time Scales: An Introduction with Applications. Birkhauser, Boston (2001) [20] Bohner, M, Peterson, A: Advances in Dynamic Equations on...

Ngày tải lên: 21/06/2014, 17:20

... a nonnegative continuous concave functional on K such that αx ≤x, ∀x ∈ K c . First, we assert that there exists c& gt;bsuch that Φ : K c → K c is completely continuous. In fact, by the condition ... of intervals are defined similarly. Some definitions concerning time scales can be found in 1–5. In this paper, we are concerned with the existence of positive solutions for t...

Ngày tải lên: 21/06/2014, 20:20