in a continuous casting tundish

... have been demonstrated Our ultimate goal is to be aware of all advantages and disadvantages of all available methods so that if and when supercomputers grow manyfold in speed and memory storage, ... mechanical and aerospace engineering at the University of Alabama in Huntsville He has also authored General Continuum Mechanics and Applied Continuum Mechanics, both published by Cambridge University ... Radiative Heat Flux and Radiative Transfer Equation 24.2.4 Solution Methods for Integrodifferential Radiative Heat Transfer Equation 24.3 Radiative Heat Transfer in Combined Modes 24.3.1 Combined...

Ngày tải lên: 01/04/2014, 10:45

... solution in a subset Y is a minimal solution in Y , but the converse is false in general, and an analgous remark is true for maximal and greatest solutions Interestingly, we will show that problem ... lean on new definitions of lower and upper solutions introduced in this article, and we show with an example that similar results with the classical definitions are false We also introduce an example ... Pouso e o Department of Mathematical Analysis, University of Santiago de Compostela, Spain ∗ Corresponding author: ruben.figueroa@usc.es E-mail address: RLP: rodrigo.lopez@usc.es Abstract We prove...

Ngày tải lên: 20/06/2014, 20:20

... for linear difference equations with several delays,” Advances in Dynamical Systems and Applications, vol 1, no 1, pp 29–47, 2006 M Bohner and A Peterson, Dynamic Equations on Time Scales An Introduction ... ¨ L Berezansky and E Braverman, “On non-oscillation of a scalar delay differential equation,” Dynamic Systems and Applications, vol 6, no 4, pp 567–580, 1997 L Berezansky and E Braverman, “On existence ... Proof In this present case, we may let Λ t : λ i∈ 1,n N Ai t for t ∈ t1 , ∞ T to obtain 4.15 Remark 4.11 Particularly, letting λ and M 1/4 in Corollary 4.10, we learn that 3.1 admits a nonoscillatory...

Ngày tải lên: 21/06/2014, 11:20

... Matem´ tica, Facultade de Matem´ ticas, Universidade a a a de Santiago de Compostela, 15782 Santiago de Compostela, Galicia, Spain E-mail address: cabada@usc.es Victoria Otero-Espinar: Departamento ... Rodr´guez-Vivero: Departamento de An´ lise Matem´ tica, Facultade de Matem´ ticas, Uniı a a a versidade de Santiago de Compostela, 15782 Santiago de Compostela, Galicia, Spain E-mail address: lolirv@usc.es ... Otero-Espinar: Departamento de An´ lise Matem´ tica, Facultade de Matem´ ticas, Univera a a sidade de Santiago de Compostela, 15782 Santiago de Compostela, Galicia, Spain E-mail address: vivioe@usc.es...

Ngày tải lên: 23/06/2014, 00:20

... Corduneanu, C: Integral Equations and Applications Cambridge University Press, Cambridge (1991) Guo, D, Lakshmikantham, V, Liu, X: Nonlinear Integral Equations in Abstract Spaces Kluwer Academic, ... scales Nonlinear Anal 68, 127–138 (2008) doi:10.1016/j.na.2006.10.036 Xu, H, Nieto, JJ: Extremal solutions of a class of nonlinear integro-differential equations in Banach spaces Proc Am Math ... Remark 2.1 Corollary 2.4 and Corollary 2.2 differ in sense that Corollary 2.4 may apply to certain problems, whereas Corollary 2.2 may not apply, and vice-versa Example 2.3 Let us prove that...

Ngày tải lên: 21/06/2014, 02:20

... boundary conditions Nonlinear Anal Real World Appl 11, 67–78 (2010) [18] Zhang, Z, Yuan, R: An application of variational methods to Dirichlet boundary value problem with impulses Nonlinear Anal ... Proceedings of the Edinburgh Mathematical Society 51, 509–527(2008) [15] Xiao, J, Nieto, JJ: Variational approach to some damped Dirichlet nonlinear impulsive differential equations J Frankl Inst ... China Email address: wangdb@lut.cn Abstract By using the classical fixed point theorem for operators on cone, in this article, some results of one and two positive solutions to a class of nonlinear...

Ngày tải lên: 21/06/2014, 17:20

... their graphs Since the task of finding a pair of lower and upper solutions is by no means easy in general, and bearing in mind that constant lower and upper solutions are the first reasonable attempt, ... 2005 13 R P Agarwal, D O’Regan, V Lakshmikantham, and S Leela, A generalized upper and lower solution method for singular initial value problems,” Computers & Mathematics with Applications, vol ... asserts that u∗ , as defined in 2.8 , is the least inf uinf , as defined in 2.2 Carath´ odory solution, but it is easy to prove that in that case u∗ e inf Indeed, let U be an arbitrary upper solution...

Ngày tải lên: 21/06/2014, 20:20

... 1990 V Lakshmikantham, S Sivasundaram, and B Kaymakcalan, Dynamic Systems on Measure Chains, vol 370 of Mathematics and Its Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, ... Let E be a real Banach space and K ⊂ E be a cone A function α : K → 0, ∞ is called a nonnegative continuous concave functional if α is continuous and − t y ≥ tα x α tx for all x, y ∈ K and t ∈ ... Equations on Time Scales, Birkh¨ user, Boston, a Mass, USA, 2003 S Hilger, “Analysis on measure chains -a unified approach to continuous and discrete calculus,” Results in Mathematics, vol 18, no...

Ngày tải lên: 21/06/2014, 20:20

... classical parts of the qualitative theory of ordinary and partial differential equations Although in many cases, speaking about maximum principles, authors mean quite different definitions of maximum ... assertions allowing to make such conclusions Our assertions are based on the assumption that the operator A is a dominant among two operators A and B Journal of Inequalities and Applications We assume ... “Oscillation criteria for a linear neutral differential equation,” Journal of Mathematical Analysis and Applications, vol 286, no 2, pp 601–617, 2003 26 Journal of Inequalities and Applications 14 A...

Ngày tải lên: 22/06/2014, 03:20

... delay differential equations,” Journal of Mathematical Analysis and Applications, vol 219, no 1, pp 165–178, 1998 J Shen and X Tang, “New oscillation criteria for linear delay differential equations,” ... Equations on Time Scales, Birkh¨ user, Boston, a Mass, USA, 2003 13 E Akin-Bohner, M Bohner, and F Akın, “Pachpatte inequalities on time scales,” Journal of Inequalities in Pure and Applied Mathematics, ... Dynamic Equations on Time Scales: An Introduction with Application, Birkh¨ user, Boston, Mass, USA, 2001 a 12 Advances in Difference Equations 12 M Bohner and A Peterso, Eds., Advances in Dynamic...

Ngày tải lên: 22/06/2014, 11:20

... Florida Institute of Technology, Melbourne, FL 32901, USA E-mail address: agarwal@fit.edu Said R Grace: Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza ... [6] G H Hardy, J E Littlewood, and G Polya, Inequalities, 2nd ed., Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1988 Ravi P Agarwal: Department of Mathematical Sciences, ... −x(k) (2.10) Taking limsup as m → ∞ in the above inequality, we obtain a contradiction to condition (2.4) If {x(n)} is eventually negative, then reasoning as above leads to a contradiction with...

Ngày tải lên: 22/06/2014, 22:20

... → R is a continuous function and it is nonincreasing with respect to its first variable (I) I is continuous and strictly increasing with respect to the first variable and nonincreasing in the second ... Time Scales, an Introduction with Applications, Birkh¨ user Boston, Massachusetts, 2001 a , Advances in Dynamic Equations on Time Scales, Birkh¨ user Boston, Massachusetts, a 2003 A Cabada and E ... sudden major in uences, for example, an insect population sprayed with an insecticide or a financial market a ected by a major terrorist attack For our purposes, we let T be a time scale (a closed...

Ngày tải lên: 23/06/2014, 00:20

... Strichartz estimates are then obtained following a vector field approach developed in [11] A common point of the three approaches above is a paradifferential localization of the solution at a given ... θ,r 310 HART F SMITH AND DANIEL TATARU Note that G is nonlinear, as φθ,r depends in a nonlinear way on u Since all functions in H are supported in a fixed compact set, it follows that we can restrict ... We may ˙ choose ea such that Dea =0 mod (γω ) , ˙ dt for instance by parallel translating an orthonormal frame along γω and subtracting a multiple of γω to make them purely spatial We set ˙ a zv...

Ngày tải lên: 15/03/2014, 09:20

... that, in particular, V ∈ Vb (X) so Now, any A ∈ Ψ1 (X) can be written as (Dxj xj )Aj + Dyj Aj + A ¯ bc ¯ with Aj , Aj , A ∈ Ψ0 (X) by writing σb,1 (A) = σj aj + ζj aj , and taking bc Aj , Aj ... PROPAGATION OF SINGULARITIES 755 call analytic generalized broken bicharacteristics It is an interesting question whether in the C ∞ setting there are also analogous diffractive phenomena at higher ... (essentially, in the Neumann case one has to pay a price for integrating by parts, so one needs to present the proofs in an appropriately rearranged, and less transparent, form) the proofs in 758 ´ ANDRAS...

Ngày tải lên: 15/03/2014, 09:20

Ngày tải lên: 17/03/2014, 14:44

... Kasper and Rounds [11] provide a formal framework for investigating such constraints by reviving a distinction originally made (as far as I am aware) by Kaplan and Bresnan [10] between the language ... Kasper and Rounds [11] Acyclic finite automata Disjunction Moshier and Rounds [ ] Forcing sets of acyclic finite automata lntuitionistic negation Dawar and Vijayashankar [3] Acyclic finite automata ... unification Table 1: Constraint Languages and Feature Structure Models Author Kaplan and Bresnan [10] Model of Feature Structures Partial functions Pereira and Shieber [ ] Information Domain F=[A...

Ngày tải lên: 24/03/2014, 02:20

... exist in AN both a maximal α-alternating tree as well as a maximal α-co-alternating tree, then d(N ) = α and N is self-dual Proof For any ω-rational language L, let dW (L) denote the degree of L in ... ) = α and N is non-self-dual 152 J Cabessa and A. E.P Villa • If there exists in AN a maximal α-co-alternating tree and no maximal αalternating tree, then d(N ) = α and N is non-self-dual • If ... attractors, AN be the corresponding Muller automaton of N , and α be an ordinal such that < α < ω ω • If there exists in AN a maximal α-alternating tree and no maximal α-coalternating tree, then...

Ngày tải lên: 28/04/2014, 10:06

... Outline Plane Wave: Dispersion relationship, freq., wavelength, wavenumber, slowness, apparent velocity, apparent wavelength Spherical Wave Green’s function, asymptotic Green’s function Harmonic ... Hooke’s Law dP = κ dV/V but dV = VdP/κ W = V PdP =V P Spherical Wave in Homogeneous Medium P= Ae i(k r - wt) r (2) satisfies Geometrical speading c P = 2 P except at origin Ray is traced such that ... slowness, apparent velocity, apparent wavelength Spherical Wave Green’s function, asymptotic Green’s function Spherical Wave in Heterogeneous Medium P= Ae i(wτ - wt) (2) satisfies P = c 2 P except at...

Ngày tải lên: 28/04/2014, 14:16

... solutions for a class of higher-order difference equations Huantao Zhu1 and Weibing Wang∗2 Hunan College of Information, Changsha, Hunan 410200, P.R China Department of Mathematics, Hunan University ... University of Science and Technology, Xiangtan, Hunan 411201, P.R China *Corresponding author: gfwwbing@yahoo.com.cn Email address: HZ: zhu-huan-tao@163.com Abstract In this article, we discuss ... for any (n, u) ∈ Z × R, ω ∈ N Difference equations have attracted the interest of many researchers in the last 20 years since they provided a natural description of several discrete models, in...

Ngày tải lên: 18/06/2014, 22:20