Báo cáo hóa học: " Research Article On the Solution of the Rational Matrix Equation X = Q + LX −1LT" potx

... Some sufficient conditions are established for the existence and nonexistence of monotone positive solution to the BVP 1.3. Here, a solution u of the BVP 1.3 is said to be monotone and positive ... using the Guo- Krasnoselskii fixed-point theorem, some sufficient conditions are obtained for the existence and nonexistence of monotone positive solution to the above proble...

Ngày tải lên: 21/06/2014, 11:20

... ≤  x 0 − x n ,x n − x n1   −  x n − x 0 ,x n − x 0    x 0 − x n ,x 0 − x n1  ≤−  x n − x 0  2   x n − x 0  x 0 − x n1  . 3.14 8 Fixed Point Theory and Applications Proof. ... ≤  x 0 − x n ,x n − p   −  x n − x 0 ,x n − x 0    x 0 − x n ,x 0 − p  ≤−  x n − x 0  2   x n − x 0    x 0 − p   . 3...

Ngày tải lên: 21/06/2014, 20:20

... correction. Let  X = X + E, (47) where X is the exact solution of (1), X = Q + LX −1 L T . Then  X = E + Q + LX −1 L T = E + Q + L(  X − E) −1 L T = E + Q + L  I − E  X −1   X  −1 L T = E + ... E  X −1 +  E  X −1  2 + ···  L T = E + Q + L  X −1 L T + L ...

Ngày tải lên: 22/06/2014, 19:20

... P<.5, the maximum of the waveform is closer to the beginning of oscillation period, and when P>.5, the maximum is closer to the end of the period. With P = .5, the modulation function φ mod,saw (t) ... applications that emulate old analogue devices. One of the largest focuses for the research on this topic is the emulation of the subtractive sound...

Ngày tải lên: 21/06/2014, 05:20

... α>1 /q, D α ∗a f x denotes the Caputo fractional derivative of f, then the following inequality  b a   D α ∗a f x   q dx ≤  b − a  q n−α  Γ  n − α  q  p  n − α − 1   1  q/ p q  n ... 2.78,forα>1 /q,  b a   J α a f x   q dx x ≤  log  b/a   q q  Γ  α  q  p  α − 1   1  q/ p  b a   f  y    q dy y ,  b a   J α b...

Ngày tải lên: 21/06/2014, 07:20

... required. As regards the direct channel, a general consensus exists on the adoption of the so-called Marconi (MAR) model, which provides the value of H nn k as a function of the frequency f k = ... channel matrix. Noting by c n k the number of bits/symbol for the nth user at the kth tone, in the presence of quantization error, and using definitions (2)and(3)...

Ngày tải lên: 21/06/2014, 08:20

... However, in the case of R ¨ ussmann’s nondegeneracy condition, we can only get the existence of a family of invariant tori while there is no information on the persistence of frequency of any torus. ... 2.41 uniformly on Ds − 3ρ, r/2 × BΓ,δ. (D) Estimates of the Symplectic Mapping The coordinate transformation Φ is obtained as the time 1-map of the flow X...

Ngày tải lên: 21/06/2014, 11:20

... to  u  q q  1 q  k∈ V  k | u  k | q . 2.10 14 Advances in Difference Equations In the case q  2 we can estimate the maximum of the solution u,providedthe additional assumption F 5  ... that the solution u has no negative values on . 3. Remarks and Examples In this section we will consider some examples and remarks on applications and extensions of Theor...

Ngày tải lên: 21/06/2014, 11:20

... applied to the Duffing equation, the Lorenz system, and the Blasius equation. The technique used is based on the equivalent transformation of the ordinary differential equation under consideration to ... assure the existence of a unique solution of the nonlinear operator equation 2.15 in H 1 , some conditions must be imposed on the parameters appearing in t...

Ngày tải lên: 21/06/2014, 11:20

... will use the cone theory and monotone iterative technique to investigate the existence of minimal nonnegative solution for a class of second-order nonlinear impulsive differential equations on an ... area of investigation in the recent years and is much richer than the corresponding theory of differential equations. For an introduction of the basic theory of impulsive...

Ngày tải lên: 21/06/2014, 11:20