using computational fluid dynamic
computational fluid dynamics, second edition
Ngày tải lên :
01/04/2014, 10:45
... This page intentionally left blank COMPUTATIONAL FLUID DYNAMICS Second Edition This revised second edition of Computational Fluid Dynamics represents a significant improvement from ... Fletcher, C A [1988] Computational Techniques for Fluid Dynamics Vol 1: Fundamental and General Techniques Berlin: Springer-Verlag ——— [1988] Computational Techniques for Fluid Dynamics Vol 2: Specific ... REFERENCES Anderson, J D., Jr [1995] Computational Fluid Dynamics New York: McGraw-Hill Anderson, D A., Tannehill, J C., and Pletcher, R H [1984] Computational Fluid Mechanics and Heat Transfer...
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báo cáo hóa học:" Research Article Nonoscillation of First-Order Dynamic Equations with Several Delays" pdf
Ngày tải lên :
21/06/2014, 11:20
... 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 with ... of solutions to systems of delay dynamic equations on time scales,” http://arxiv.org/abs/1001.0737v3 M Bohner, “Some oscillation criteria for first order delay dynamic equations,” Far East Journal ... criteria for delay dynamic equations of first order,” Advances in Difference Equations, vol 2008, Article ID 458687, 12 pages, 2008 10 H A Agwo, “On the oscillation of first order delay dynamic equations...
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STABILITY OF PERIODIC SOLUTIONS OF FIRST-ORDER DIFFERENCE EQUATIONS LYING BETWEEN LOWER AND UPPER pptx
Ngày tải lên :
23/06/2014, 00:20
... optimality of the obtained results Preliminaries This paper is devoted to study the stability, by using the method of lower and upper solutions, of the N-periodic solutions of the following first-order ... Proof First we show that α u in JN Suppose that there exists n0 ∈ JN such that α(n0 ) = u(n0 ), by using inequalities (2.5), we obtain that α(n) = u(n) for all n ∈ {0, ,n0 } Therefore, α(N) = u(N), ... (N) < ψ(N) = ψ(0), Proposition 3.3, and Lemma 2.4 yield α1 = Tα0 Tα1 ψ = Tψ in JN Inductively by using Proposition 3.3, we deduce that αm Tαm Tψ = ψ in JN The conclusion follows from the boundness...
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báo cáo hóa học:" Periodic boundary value problems for nonlinear first-order impulsive dynamic equations on time scales" pot
Ngày tải lên :
21/06/2014, 17:20
... boundary value problems of impulsive dynamic equations on time scales [22–36] However, to the best of our knowledge, few papers concerning PBVPs of impulsive dynamic equations on time scales with ... [19] Bohner, M, Peterson, A: Dynamic Equations on Time Scales: An Introduction with Applications Birkhauser, Boston (2001) [20] Bohner, M, Peterson, A: Advances in Dynamic Equations on Time Scales ... impulsive dynamic equations on time scales J Diff Equ Appl 6, 541–548 (2004) [23] Benchohra, M, Ntouyas, SK, Ouahab, A: Existence results for second-order bounary value problem of impulsive dynamic...
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Báo cáo hóa học: " Research Article First-Order Singular and Discontinuous Differential Equations" docx
Ngày tải lên :
21/06/2014, 20:20
... the role of implying that the sets Jn,m and Kn,m in Theorem 2.4 are measurable Therefore, only using the axiom of choice one can find a mapping f in the conditions of Theorem 2.4 which does not ... Pouso, “Extremal solutions for first order singular problems ´ with discontinuous nonlinearities,” Dynamics of Continuous, Discrete & Impulsive Systems Series A, vol 10, no 6, pp 931–947, 2003 E...
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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
Ngày tải lên :
21/06/2014, 20:20
... theory of dynamic equations on time scales has become a new important branch see, e.g., 1–5 Naturally, some authors have focused their attention on the boundary value problems of impulsive dynamic ... Bohner and A Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkh¨ user, Boston, Mass, USA, 2001 a M Bohner and A Peterson, Eds., Advances in Dynamic Equations on ... impulsive functional dynamic equations on time scales,” Applied Mathematics and Computation, vol 196, no 1, pp 333–339, 2008 25 J Henderson, “Double solutions of impulsive dynamic boundary value...
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Báo cáo hóa học: " Research Article Maximum Principles and Boundary Value Problems for First-Order Neutral Functional Differential Equations" potx
Ngày tải lên :
22/06/2014, 03:20
... vs t ≤ for t ∈ s, ∞ , then the Cauchy function C0 t, s of 1.10 is positive for ≤ s ≤ t < ∞ Proof Using the condition ρ S < 1, we can write 1.1 in the form 1.10 The positivity of → L∞ implies that ... principles and nonoscillation intervals for first order Volterra functional differential equations,” Dynamics of Continuous, Discrete & Impulsive Systems, vol 15, no 6, pp 769–814, 2008 A Domoshnitsky, ... USA, 1995 K Gopalsamy, Stability and Oscillations in Delay Differential Equations of Population Dynamics, vol 74 of Mathematics and Its Applications, Kluwer Academic Publishers, Dordrecht, The...
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Báo cáo hóa học: " Research Article Iterated Oscillation Criteria for Delay Dynamic Equations of First Order" pdf
Ngày tải lên :
22/06/2014, 11:20
... criterion for first order dynamic equations,” to appear in Functional Differential Equations 10 Y Sahiner and I P Stavroulakis, “Oscillations of first order delay dynamic equations,” Dynamic ¸ Systems ... the readers to 9, 10 for some new results on the oscillation of delay dynamic equations Now, we consider the first-order delay dynamic equation xΔ t p t x τ t 0, 1.9 where t ∈ T, T is a time scale ... Peterson, 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...
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Báo cáo hóa học: "OSCILLATION CRITERIA FOR FIRST-ORDER FORCED NONLINEAR DIFFERENCE EQUATIONS" ppt
Ngày tải lên :
22/06/2014, 22:20
... positive solution of (1.1) Multiplying (1.1) by H(m,n) for m > n ≥ k ∈ N, summing from k to m, and using (2.1), we obtain m H(m,n)e(n) = n =k m m H(m,n)Δx(n) + n =k H(m,n)p(n)x(n + 1) n =k m + H(m,n)q1 ... the proof of Theorem 2.2, taking liminf of both sides of the resulting inequality as m → ∞, and using condition (2.5), we arrive at the desired contradiction Corollary 2.7 Let −P(n) := + p(n) ... solution of (2.26) Multiplying the (2.26) by H(m,n) for m > n ≥ k − τ ∈ N, summing from k to m, and using (2.1), we have m H(m,n)e(n) = −H(m,k) x(k) − c(k)x[k − τ] + n =k m−1 h(m,n) + p(n)H(m,n) x(n...
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FIRST- AND SECOND-ORDER DYNAMIC EQUATIONS WITH IMPULSE F. M. ATICI AND D. C. BILES Received 3 pdf
Ngày tải lên :
23/06/2014, 00:20
... contradiction Hence, α ≤ u on J1 Similarly, u ≤ β on J1 124 Dynamic equations with impulse We then have α t1 ≤ u t1 ≤ β t1 , (2.14) and using the fact that I is nondecreasing, we have + α t1 ≤ I ... solution 128 Dynamic equations with impulse Proof It is not difficult to verify that the problem y ∆∆ − y σ = 0, t ∈ [a,b], (3.17) y(a) = y σ (b) = 0, has only the trivial solution By using [7, Theorem ... (3.13) implies that L2 (y(a), y(σ (b))) = 130 Dynamic equations with impulse To prove that L1 (y(a), y ∆ (a), y(σ (b)), y ∆ (σ(b))) = 0, it is enough using (3.12) to show α(a) ≤ y(a) + L1 y(a),...
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Đề tài " Sharp local wellposedness results for the nonlinear wave equation " pot
Ngày tải lên :
15/03/2014, 09:20
... Hx t s− L∞ Hx t (Σ) (Σ) 1, The first term in (5.14) is bounded using (5.5), (5.6), and (5.11) The second term in (5.14) is bounded using (5.9), (5.10), and the trace theorem applied to gij The ... the variation of the geodesic flow field as one moves from one null surface to another (other than using estimates which follow immediately from the regularity of the individual surfaces themselves.) ... counterparts Section contains the construction of a parametrix for the linear equation We start by using the information we have for the characteristic plane wave surfaces in order to construct a...
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Đề tài " Propagation of singularities for the wave equation on manifolds with corners " ppt
Ngày tải lên :
15/03/2014, 09:20
... + Ti for some Ti , Ti ∈ Ψ−1 (X), and using Lemma 4.2 (in the form (6.1)) where necessary b ˜ ˜ We further estimate BΛr u in terms of C BΛr u and u Hloc (X) using that C is elliptic on WFb (B) ... question whether this propagation theorem can be improved in the sense that, under certain ‘non-focusing’ assumptions for a solution u of the wave equation, if a bicharacteristic segment carrying ... further restrictions on the hypersurface in the presence of smooth boundaries In some circumstances, using other known results, Ivri˘ could strengthen the conclusion further ı Since the changes for...
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Báo cáo khoa học: "EXPRESSING DISJUNCTIVE AND NEGATIVE FEATURE CONSTRAINTS CLASSICAL FIRST-ORDER LOGIC" pdf
Ngày tải lên :
24/03/2014, 02:20
... The satisfiability of a formula like (3') can be shown using standard techniques such as the Congruence Closure Algorithm [15], [5] In fact, using the substitutivity and transitivity of equality, ... attributes can also be expressed as such formulae, so systems of these constraints can be solved using standard techniques such as the Congruence Closure algorithm [15], [5] The elements of the ... axiomatization is finite iff the sets of attribute symbols and constant symbols are finite: in the intended computational and linguistic applications this is always the case The claim is that a n y interpretation...
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a hierarchical classification of first-order
Ngày tải lên :
28/04/2014, 10:06
... (1994) 14 Siegelmann, H.T., Sontag, E.D.: On the computational power of neural nets J Comput Syst Sci 50(1), 132–150 (1995) 15 Sperduti, A.: On the computational power of recurrent neural networks ... Tsuda, I.: Chaotic itinerancy as a dynamical basis of hermeneutics of brain and mind World Futures 32, 167–184 (1991) 17 Tsuda, I., Koerner, E., Shimizu, H.: Memory dynamics in asynchronous neural ... example of such a network is given below Example Consider the network N depicted in Figure The dynamics of this network is then governed by the following equation: x1 (t+1) x2 (t+1) x3 (t+1)...
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Báo cáo sinh học: " Periodic solutions for a class of higher order difference equations" potx
Ngày tải lên :
18/06/2014, 22:20
... equation x(n + k) = g(x(n)) − f (n, x(n − τ (n)) We show the existence of periodic solutions by using Schauder’s fixed point theorem, and illustrate three examples MSC 2010: 39A10; 39A12 Keywords: ... have been published on the same problem for higher-order functional difference equations Recently, using coincidence degree theory, Liu [13] studied the second-order nonlinear functional difference ... obtain sufficient conditions for the existence of at least one periodic solution of equation (1.2) By using fixed point theorem in a cone, Wang and Chen [14] discussed the following higher-order functional...
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