FIRST- AND SECOND-ORDER DYNAMIC EQUATIONS WITH IMPULSE F M ATICI AND D C BILES Received 3 pdf
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 2005We 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,USAE-mail address: daniel .biles@ wku.edu F. M. Atici and D. C. Biles 131 Theorem 3. 3 assures ... existence result for second-order dynamic equations on a time scale subject to fixed-time impulses and nonlinearboundary conditions. Nonlinear boundary conditions cover, among others, the periodicand...
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báo cáo hóa học:" Research Article Nonoscillation of First-Order Dynamic Equations with Several Delays" pdf
... University, 032 00 Afyonkarahisar, TurkeyCorrespondence should be addressed to Elena Braverman, maelena@math.ucalgary.ca Received 18 February 2010; Accepted 21 July 2010Academic Editor: John GraefCopyright ... Mathematics and Statistics, University of Calgary, 2500 University Drive N. W., Calgary,AB, Canada T2N 1N42Department of Mathematics, Faculty of Science and Arts, ANS Campus, Afyon Kocatepe ... that f tχ D t f t for t ∈ R, where χ D is the characteristic functionof D defined by χ D t ≡ 1fort ∈ D and χ D t ≡ 0fort/ D. Definition 2.1. Let s ∈ T,ands−1: inft∈s,∞T{αmint}.ThesolutionX...
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Báo cáo hoa học: " Research Article Multiple Positive Solutions for Nonlinear First-Order Impulsive Dynamic Equations on Time Scales with Parameter" ppt
... 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 underthe Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided ... Wen GuanDepartment of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu, 730 050, ChinaCorrespondence should be addressed to Da-Bin Wang, wangdb@lut.cn Received 13 February...
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modx 2.0 web development [electronic resource] build dynamic websites with modx php application framework and cms
... support 32 Web forums 33 IRC 34 Summary 34 Chapter 3: MODx Basics 35 Site conguration 35 Conguring the site 36 Default Manager interface page 37 Noticing and xing errors and warnings 38 Changing ... 232 Writable conguration 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 ofcial third-party developer of Moodle code, ... 23 Installing MODx 24Creating a database 24Starting the installation 26Installation status and diagnostics 28Documentation 31 Ofcial documentation 32 Community-driven documentation 32 Combined 32 Getting...
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Báo cáo hóa học: " Research Article Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with Mixed " pptx
... 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,1Veeraraghavan Piramanantham,2 and Sandra Pinelas 3 1Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 005, India2Department of Mathematics, ... equations with mixed nonlinearities,” Computers & Mathematics with Applications, vol.59, no. 2, pp. 977–9 93, 2010.10 R. P. Agarwal and A. Zafer, “Oscillation criteria for second-order forced dynamic...
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báo cáo hóa học:" Periodic boundary value problems for nonlinear first-order impulsive dynamic equations on time scales" pot
... proof of (3. 4), we have12This 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 scales has become ... http://www.advancesindifferenceequations.com/content/2012/1/12This peer-reviewed article was published immediately upon acceptance. It can be downloaded,printed and distributed freely for any purposes (see copyright notice below).For information about publishing...
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Báo cáo hóa học: "DELAY DYNAMIC EQUATIONS WITH STABILITY" pot
... c n−1τ=01 − c H m n−τ=cmH m + c 2 m H m H m − c H m − c H m −H m c 1 − c H m n− 1=cmH m 2 −1 − c H m n<2cmH m (3. 29)8 Delay dynamic equations with stabilityHence ... extension of continuous calculus, discrete calculus, q-calculus, and indeed arbitrary real-number calculus to time-scale calculus, where a time scale is sim-ply a ny nonempty closed set of real numbers, ... in Completely Delayed Equations, to appear in Journal ofMathematical Analysis and Applications.Douglas R. Anderson: Department of Mathematics, Concordia College, Moorhead, MN 56562, USAE-mail...
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OF INVARIANT FIBER BUNDLES FOR DYNAMIC EQUATIONS ON MEASURE CHAINS ¨ CHRISTIAN POTZSCHE AND STEFAN pdf
... Hypothesis 3. 1 are uniform in p ∈ ᏼ and since the uniform continuityof D m (2 ,3) (F, G) is not used to derive them.Lemma 3. 3. Assume Hypothesis 3. 1 for m = 1, σmax=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) with c d, m ∈ N ,and ∈ T, the followingare ... Augsburg,GermanyE-mail address: poetzsche@math.uni-augsburg.deStefan Siegmund: Department of Mathematics, J. W. Goethe University, Robert-Mayer-Straße 10,6 032 5 Frankfurt, GermanyE-mail address: siegmund@math.uni-frankfurt.de168...
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Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx
... 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∗= maxt∈I−k(t).In particular, problem ( 13) has maximal and minimal solutions betweenα and β, and this does not depend on the choice of τ.Proof. Conditions (15) and (16) imply thatlimy→−∞y ... along with a functional start condition, areincluded in the framework of problem (1). This is not allowed in articles [3 6]. (3) No monotonicity conditions are required for the functions f and τ,...
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