FIRST- AND SECOND-ORDER DYNAMIC EQUATIONS WITH IMPULSE F M ATICI AND D C BILES Received 3 pdf

... ATICI AND D. C. BILES Received 3 December 2004 and in revised form 11 February 2005 We present existence results for discontinuous first- and continuous second-order dy- namic e quations on a time ... ferhan .atici@ wku.edu D. C. Biles: Department of Mathematics, Western Kentucky University, Bowling Green, KY 42101, USA E-mail address: daniel .biles@ wku.edu F. M. Atici...

Ngày tải lên: 23/06/2014, 00:20

... University, 032 00 Afyonkarahisar, Turkey Correspondence should be addressed to Elena Braverman, maelena@math.ucalgary.ca Received 18 February 2010; Accepted 21 July 2010 Academic Editor: John Graef Copyright ... Mathematics and Statistics, University of Calgary, 2500 University Drive N. W., Calgary, AB, Canada T2N 1N4 2 Department of Mathematics, Faculty of Science and Arts, ANS Campu...

Ngày tải lên: 21/06/2014, 11:20

... nonresonance impulsive functional dynamic equations on time scales,” Applied Mathematics and Computation, vol. 196, no. 1, pp. 33 3 33 9, 2008. 25 J. Henderson, “Double solutions of impulsive dynamic ... Wang and W. Guan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in a...

Ngày tải lên: 21/06/2014, 20:20

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Ngày tải lên: 22/03/2014, 11:20

... support 32 Web forums 33 IRC 34 Summary 34 Chapter 3: MODx Basics 35 Site conguration 35 Conguring the site 36 Default Manager interface page 37 Noticing and xing errors and warnings 38 Changing ... 232 Writable conguration le 232 Captcha 232 mod_security 233 Unused les 233 Being one of the seven people from India and the only one from Tamilnadu as an ofc...

Ngày tải lên: 31/05/2014, 00:56

... oscillation and nonoscillation of solutions of ordinary and neutral dynamic equations on time scales has been received considerable attention, see, for example, 4–8 and the references cited therein. Moreover ... Thandapani, 1 Veeraraghavan Piramanantham, 2 and Sandra Pinelas 3 1 Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 005, Ind...

Ngày tải lên: 21/06/2014, 05:20

... proof of (3. 4), we have 12 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Periodic ... impulsive differential equations and impulsive difference equations have re- ceived much attention [4–18]. On the other hand, recently, the theory of dynamic equations on time scale...

Ngày tải lên: 21/06/2014, 17:20

... c n−1  τ=0  1 − c H m  n−τ = cm H m + c 2 m H m  H m − c   H m − c H m  −H m c    1 − c H m  n − 1  = cm H m  2 −  1 − c H m  n  < 2cm H m (3. 29) 8 Delay dynamic equations with stability Hence ... extension of continuous calculus, discrete calculus, q-calculus, and indeed arbitrary real-number calculus to time-scale calculus...

Ngày tải lên: 22/06/2014, 22:20

... Hypothesis 3. 1 are uniform in p ∈ ᏼ and since the uniform continuity of D m (2 ,3) (F, G) is not used to derive them. Lemma 3. 3. Assume Hypothesis 3. 1 for m = 1, σ max =b −a/2,andchooseτ ∈ T.More- over, ... → ᐄ, respectively, and they are nontrivial Banach spaces with the norms · + τ ,c and · − τ ,c , respectively. Lemma 2 .3. For functions c ,d ∈ Ꮿ + rd ᏾(T,R...

Ngày tải lên: 23/06/2014, 00:20

... corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Minimal and maximal solutions to first-order differential equations ... ϕ ∗ = max t∈I − k(t). In particular, problem ( 13) has maximal and minimal solutions between α and β, and this does not depend on the choice of τ. Proof. Conditions (15)...

Ngày tải lên: 20/06/2014, 20:20