Báo cáo hoa học: " Discretisation of abstract linear evolution equations of parabolic type" pot

... uniqueness of the solution of problem (P ε ), and successive approximations of this solution, obtained by a simple procedure. A proof is given of uniform convergence of the iterative method. The ... −|ε|/ε 0 , (3.6) where C is a constant independent of n and ε. Proof. A direct consequence of (3.2)andTheorem 2.1.  12 Perturbation method for difference equations [6] M. S. Krishn...

Ngày tải lên: 22/06/2014, 22:20

... 65J10. Keywords: parabolic evolution equations; finite-difference methods; financial mathematics. 1 Introduction In this article, we study the discretisation, with finite-difference methods, of the evolution ... approximation of multidimensional PDE problems arising in European financial option pricing. Let us consider the stochastic modeling of a multi-asset financial option of Euro...

Ngày tải lên: 21/06/2014, 20:20

... all x ∈ R. The closure of the finite linear span of all these continuous functions H q n Φ,n ∈ N 0 is a Hilbert space F⊆L 2 R. For any element v in the finite linear span of the conventional (continuous) ... problem in Section 3 of this article. Let us remark finally that we will—throughout the presentation of our results in this article—repeatedly make use of the suffix basic. T...

Ngày tải lên: 21/06/2014, 20:20

... to the study of stability and estimates of solutions of 1.1. 2. Exponential Stability and Estimates of the Convergence of Solutions to Stable Systems First we give two definitions of stability ... in Part 2. The proof of the following theorem is similar to the proofs of Theorems 2.5 and 2.6 and its statement in the case of p  0 exactly coincides with the statements of t...

Ngày tải lên: 21/06/2014, 11:20

... theorem of solution for second order nonlinear differential equations, ” Annals of Differential Equations, vol. 19, no. 3, pp. 480–486, 2003. 7 R K. Zhuang and H W. Wu, “Sturm comparison theorem of ... for linear differential equations of second order,” Proceedings of the American Mathematical Society, vol. 13, pp. 603–610, 1962. 4 W. Leighton, “Some elementary Sturm theory,”...

Ngày tải lên: 21/06/2014, 20:20

... × [a,b]→X,andξ : X→X are nonlinear operators. {A(t):a ≤ t ≤ b} is a family of linear closed operators with adjoint operators A ∗ (t) and generates a unique linear evolution system {U(t,s):a ≤ ... = (x 2 , p 2 ). The proof for the case α 1 = 0andα 2 > 0 is similar. The proof of the theorem is complete.  Remark 4.3. Theorem 4.2 extends the results of [4] and the results of [2...

Ngày tải lên: 21/06/2014, 22:20

... 25 30 35 Average spectral efficiency (bits/s/Hz) 0 2 4 6 OFDMA OFDMA, 1.25 MHz OFDMA, 2.5 MHz OFDMA, 5 MHz OFDMA, 10 MHz OFDMA, 15 MHz OFDMA, 20 MHz SC-FDMA 8 10 12 SC-FDMA, 1.25 MHz SC-FDMA, ... dB 23 Number of users in the system 456 Average system spectral efficiency (bits/s/Hz) WF, −20 dB WF, −10 dB WF, 0 dB WF, 10 dB WF, 20 dB WF, 30 dB OFDMA, −20 dB OFDMA, −10 dB OFDMA, 0 dB OFDMA,...

Ngày tải lên: 21/06/2014, 23:20

... subset of zero measure of [ −h,0]; that is, it consists of a finite set of bounded discontinuities so that it is of support of zero measure, (3) ϕ (3) :[−h,0] → R n + is either null or impulsive of ... studies of characterizations of the nonnegativity/positivity properties in more abstract spaces in termsofthesolutionsbelongingtoappropriateK-cones [3–6]. On the other hand,...

Ngày tải lên: 22/06/2014, 18:20

... regulator of WT1. Recently, WNT5A [16] and human beta-defensin-1 [17] were identified as PAX2 tar- gets. Four isoforms of PAX2 are described so far. They are prod- ucts of alternative splicing of exon ... electrophoresis of the PAX2 exon 10 RT-PCR products from the mRNA of the lymphoma cell lines. All lymphoma cell lines: band of 339 bp of varying intensity. KM-H2, EHEB, L540...

Ngày tải lên: 18/06/2014, 15:20