data small time scales h¨ older exponents and multifractality

... for BVPs on time scales are still in the developing stage and few papers are devoted to the results on upper and lower solutions technique and the method of quasilinearization on time scales 18–21 ... Bohner and A Peterson, Eds., Advances in Dynamic Equations on Time Scales, Birkh¨ user, Boston, a Mass, USA, 2003 R P Agarwal and D O’Regan, “Nonlinear boundary value problems on time scales, ” ... on time scales has attracted the attention of many authors; see, for example, 5–12 and the references therein for the existence theory of some two-point BVPs, and 13–16 for threepoint BVPs on time...

Ngày tải lên: 21/06/2014, 16:20

... M Bohner and A Peterson, Dynamic Equations on Time Scales, Birkh¨ user Boston, Masa sachusetts, 2001 M Bohner and A Peterson (eds.), Advances in Dynamic Equations on Time Scales, Birkh¨ user a ... of dynamic equations on time scales References [1] [2] [3] [4] [5] [6] [7] [8] S Bodine and D A Lutz, Exponential functions on time scales: their asymptotic behavior and calculation, Dynam Systems ... even for the special cases T = R and T = Z To understand the notation used above and the idea of time scales, some preliminary definitions are needed Definition 1.1 A time scale T is a nonempty closed...

Ngày tải lên: 23/06/2014, 00:20

... 31 M Bohner and A Peterson, Dynamic Equations on Time Scales, Birkh¨ user, Boston, Mass, USA, 2001 a 32 M Bohner and A Peterson, Advances in Dynamic Equations on Time Scales, Birkh¨ user, Boston, ... 33 V Lakshmikantham and A S Vatsala, “Hybrid systems on time scales, ” Journal of Computational and Applied Mathematics, vol 141, no 1-2, pp 227–235, 2002 34 E R Kaufmann and Y N Raffoul, “Periodic ... dynamical equation on a time scale,” Journal of Mathematical Analysis and Applications, vol 319, no 1, pp 315–325, 2006 35 R Agarwal, M Bohner, and A Peterson, “Inequalities on time scales: a survey,”...

Ngày tải lên: 21/06/2014, 07:20

... 1.6) and (1.5, 1.7) Preliminaries First we present some basic definitions on time scales which can be found in Atici and Guseinov[8] A time scale T is a closed nonempty subset of R For t < sup T and ... equations [1–5], dif- ference equations [6, 7], and the theory of time scales [8–12], the existence of solutions for boundary value problems on time scales have attracted many author’s attention ... for an increasing homeomorphism and positive homomorphism on time scales Liu Yang∗1,2 and Weiguo Zhang1 College of Science, University of Shanghai for Science and Technology, Shanghai, 200093,...

Ngày tải lên: 21/06/2014, 17:20

... “Pachpatte inequalities on time scales, ” Journal of Inequalities in Pure Applied Mathematics, vol 6, no 1, article 6, 23 pages, 2005 M Bohner and A Peterson, Dynamic Equations on Time Scales: An Introduction ... Applications, An introduction with application, Birkh¨ auser, Boston, Mass, USA, 2001 a M Bohner and A Peterson, Advances in Dynamic Equations on Time Scales, Birkh¨ user, Boston, Mass, a USA, 2003 D B Pachpatte, ... Mathematical Analysis and Applications, vol 319, no 2, pp 802–814, 2006 W N Li and W Sheng, “Some nonlinear integral inequalities on time scales, ” Journal of Inequalities and Applications, Article...

Ngày tải lên: 21/06/2014, 18:20

... pages, 2007 D R Anderson, “Solutions to second-order three-point problems on time scales, ” Journal of Difference Equations and Applications, vol 8, no 8, pp 673–688, 2002 D R Anderson and I Y Karaca, ... problem on time scales, ” Computers & Mathematics with Applications, vol 56, no 9, pp 2429–2443, 2008 D R Anderson and G Smyrlis, “Solvability for a third-order three-point BVP on time scales, ” ... pp 75–99, 2002 M Bohner and A Peterson, Dynamic Equations on Time Scales: An Introduction with Application, Birkh¨ user, Boston, Mass, USA, 2001 a R P Agarwal, M Bohner, and P Reh´ k, “Half-linear...

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 21/06/2014, 20:20

... on time scales with p-Laplacian,” Mathematical and Computer Modelling, vol 48, no 7-8, pp 1213–1226, 2008 23 M Bohner and A Peterson, Eds., Advances in Dynamic Equations on Time Scales, Birkh¨ ... Computational and Applied Mathematics, vol 141, no 1-2, pp 65–73, 2002 F M Atici and G Sh Guseinov, “On Green’s functions and positive solutions for boundary value problems on time scales, ” Journal ... of Computational and Applied Mathematics, vol 141, no 1-2, pp 75–99, 2002 D Anderson, R Avery, and J Henderson, “Existence of solutions for a one dimensional p-Laplacian on time- scales, ” Journal...

Ngày tải lên: 21/06/2014, 20:20

... 1.6) and (1.5, 1.7) Preliminaries First we present some basic definitions on time scales which can be found in Atici and Guseinov[8] A time scale T is a closed nonempty subset of R For t < sup T and ... equations [1–5], dif- ference equations [6, 7], and the theory of time scales [8–12], the existence of solutions for boundary value problems on time scales have attracted many author’s attention ... for an increasing homeomorphism and positive homomorphism on time scales Liu Yang∗1,2 and Weiguo Zhang1 College of Science, University of Shanghai for Science and Technology, Shanghai, 200093,...

Ngày tải lên: 21/06/2014, 20:20

... value problems on time scales, for examples, see 1–6 and references therein At the same time, multipoint nonlinear boundary value problems with p-Laplacian operators on time scales have also been ... Equations and Applications, vol 8, no 8, pp 673–688, 2002 M Bohner and A Peterson, Eds., Advances in Dynamic Equations on Time Scales, Birkh¨ user, Boston, a Mass, USA, 2003 R W Leggett and L R ... 2, pp 216–226, 2009 D R Anderson, R Avery, and J Henderson, “Existence of solutions for a one dimensional p-Laplacian on time- scales, ” Journal of Difference Equations and Applications, vol 10,...

Ngày tải lên: 21/06/2014, 20:20

... on time scales, ” Canadian Mathematical Bulletin, vol 51, no 2, pp 161–171, 2008 11 A Cabada and D R Vivero, “Criterions for absolute continuity on time scales, ” Journal of Difference Equations and ... satisfy (C and (P M , f satisfies (Cc , and g satisfies (Cg Then, if for each j ≥ there exist uj and uj a lower and an upper weak solution, respectively, to Pj such that uj ≤ uj on D and inf j≥1 ... properties of Sobolev spaces and absolutely continuous functions on closed subintervals of an arbitrary time scale, and to 12 for a broad introduction to dynamic equations on time scales Definition 1.1...

Ngày tải lên: 22/06/2014, 11:20

... Boey and P J Y Wong, Two-point right focal eigenvalue problems on time scales, Applied Mathematics and Computation 167 (2005), no 2, 1281–1303 [6] M Bohner and A Peterson, Dynamic Equations on Time ... of time scales, in establishing that some results for boundary value problems for ordinary differential equations and their discrete analogues are special cases of more general results on time scales; ... on time scales and the backward jump operator ρ(t) at t for t > inf T by ρ(t) := sup s < t : s ∈ T (1.4) for all t ∈ T We assume throughout that T has the topology that it inherits from the standard...

Ngày tải lên: 22/06/2014, 22:20

... precludes certain time scales For example, time scales that are excluded from this work include discrete time scales, time scales associated with q-differences, harmonic numbers time scales, and so forth ... Dynamic Equations on Time Scales, Birkh¨ user a Boston, Massachusetts, 2003 [12] M Bohner and S H Saker, Oscillation of second order nonlinear dynamic equations on time scales, The Rocky Mountain ... (i.e., time scale) was recently studied by Henderson [20] and Henderson and Tisdell [21] The question of existence of solutions to some classes of impulsive dynamic equations on time scales was...

Ngày tải lên: 22/06/2014, 22:20

... equations on time scales, Mathematical and Computer Modelling 36 (2002), no 11–13, 1307–1318 [12] B G Zhang and Z Shanliang, Oscillation of second-order nonlinear delay dynamic equations on time scales, ... Massachusetts, 2001 a [4] M Bohner and A Peterson (eds.), Advances in Dynamic Equations on Time Scales, Birkh¨ user a Boston, Massachusetts, 2003 [5] L H Erbe and B G Zhang, Oscillation of discrete ... of Mathematical Analysis and Applications 300 (2004), no 1, 203–217 [3] M Bohner and A Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkh¨ user Boston, Massachusetts,...

Ngày tải lên: 22/06/2014, 22:20

... Thompson, and Milan Tvrd´ for their valuable hints and a y suggestions References [1] R P Agarwal, M Bohner, and P J Y Wong, Sturm-Liouville eigenvalue problems on time scales, Applied Mathematics and ... lower and upper solutions without ordering [3] M Bohner and A Peterson, Dynamic Equations on Time Scales An Introduction with Applications, Birkh¨ user Boston, Massachusetts, 2001 a [4] M Bohner and ... Equations on Time Scales, Birkh¨ user a Boston, Massachusetts, 2003 [5] A Cabada, Extremal solutions and Green’s functions of higher order periodic boundary value problems in time scales, Journal...

Ngày tải lên: 22/06/2014, 22:20

... M Bohner and A Peterson, Dynamic Equations on Time Scales, Birkh¨ user Boston, Masa sachusetts, 2001 M Bohner and A Peterson (eds.), Advances in Dynamic Equations on Time Scales, Birkh¨ user a ... satisfied, and thus the BVP (7.10), (7.11) has a solution y = (y1 , y2 ) on each of the above time scales, T = Z, hZ and qN0 , satisfying y(t) < Note also that the inequality (4.4) holds, and therefore ... themselves partly in continuous time and partly in discrete time To the authors’ knowledge, no papers have yet dealt with second-order systems of BVPs on time scales The extension to systems...

Ngày tải lên: 23/06/2014, 00:20

... studies of the metric subregularity The H¨olderian version of the metric subregularity is defined as follows: The set-valued mapping F is said to be H¨ older metrically subregular of order γ ∈ ... [33], [34] As usual, in a normed space X, for x ∈ X and r > 0, the open and closed balls ¯ r), respectively, while cone A stands for with center x and radius r > is denoted by B(x, r), B(x, the conic ... be a normed space and let Y be a metric space Let γ ∈ (0, 1] and u ∈ X be given A mapping F : X ⇒ Y is said to be directionally metrically γ-subregular or directionally H¨ older metrically subregular...

Ngày tải lên: 14/10/2015, 07:56

... attention, and task relevance of the stimulus [34] Croft and colleagues contend that P300 amplitude is affected by the target-to-target time interval (TTI), and not independently by inter-stimulus time ... target and novel visual stimuli in children of alcoholics Alcohol 1998; 15:119-36 92 Porjesz B And Begleiter H Human brain electrophysiology and alcoholism In: Tarter R and Thiel DV, Eds Alcohol and ... probability, habituation occurs only for standard stimuli, with target stimuli eliciting no decrease in P300 amplitude At the same time, both target and standard stimuli elicit increasing latencies...

Ngày tải lên: 02/11/2012, 11:08

... chapters and obtained one patent He has been recognized for successful development and implementation of solar dryers in Thailand and the development of solar radiation maps from satellite data for ... in through a small opening at the bottom of the front side of the dryer and is heated by the floor and the products exposed to solar radiation The heated air, while passing through and over the ... model, and iii) specific heat of air, cover and product are constant Schematic diagram of energy transfers inside the solar greenhouse dryer is shown in Figure and the following heat and mass...

Ngày tải lên: 05/09/2013, 16:10

... primary Data Center is down Distributed data centers reduce application down time for mission critical applications and minimize data loss Data Center Services The Data Center is likely to support a ... institutions, healthcare and utilities Because of the devastating effects of loss of data or access to data, all companies are compelled to look at reducing the risk and minimizing Data Center Networking: ... recovery time expected when the primary data location fails Disaster recovery and business continuance plans are the most common business driver behind the need for distributed Data Centers and the...

Ngày tải lên: 10/12/2013, 16:16