Báo cáo hoa học: " Discretisation of abstract linear evolution equations of parabolic type" pot
Báo cáo hóa học: "PERTURBATION METHOD FOR LINEAR DIFFERENCE EQUATIONS WITH SMALL PARAMETERS" 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...
Báo cáo hoa học: " Discretisation of abstract linear evolution equations of parabolic type" pot
... 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...
Báo cáo hoa học: " Research Article ¨ Some Basic Difference Equations of Schrodinger Boundary Value Problems" docx
... 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...
báo cáo hóa học:" Research Article Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients" pot
... 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...
Báo cáo hóa học: " Research Article Sturm-Picone Comparison Theorem of Second-Order Linear Equations on Time Scales" ppt
... 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,”...
Báo cáo hóa học: "Research Article Solvability for a Class of Abstract Two-Point Boundary Value Problems Derived from Optimal Control" pot
... ×
[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...
Báo cáo hóa học: "Research Article On the Information Rate of Single-Carrier FDMA Using Linear Frequency Domain Equalization and Its Application for 3GPP-LTE Uplink" doc
... 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,...
Báo cáo hóa học: " Research Article About K-Positivity Properties of Time-Invariant Linear Systems Subject to Point Delays" pdf
... 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,...
báo cáo hóa học:" An intron 9 containing splice variant of PAX2" pptx
... 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...