Báo cáo hóa học: "ON THE SYSTEM OF RATIONAL DIFFERENCE EQUATIONS xn+1 = f (yn−q ,xn−s ), yn+1 = g(xn−t , yn− p )" ppt

... (A, B) ≤ f (M, p ), f  p, g (p)  = p = f (C, D) ≥ f (p, M ), (2.6) from which it follows that g(M) ≥ p, g (p) ≤ M. (2.7) By (H 3 ), we obtain p = g  g (p)  ≥ g(M). (2.8) Therefore, M = g (p) . By the ... study the global asymptotic behavior of the positive solutions of the system of rational difference equations x n+1 =...

Ngày tải lên: 22/06/2014, 22:20

... system of r ational difference equations x n+1 = f (y n−q ,x n−s ), y n+1 = g(x n−t , y n p ), n = 0,1 , 2, ,wherep,q,s, t ∈ { 0,1 , 2, } with s ≥ t and p ≥ q, the initial values x −s ,x −s+1 , ,x 0 , ... equation x n+1 = f  y n−q ,x n−s  , y n+1 = g  x n−t , y n p  , (1.3) where p, q,s,t ∈{ 0,1 ,...

Ngày tải lên: 22/06/2014, 22:20

... proofs of our main results. 3. Proofs of Theorems 1.3 and 1.6 Since the proof of Theorem 1.3 will rely heavily on Theorem 1.6 as well as on its proof, we start by proving Theorem 1.6. Proof of Theorem ... The proof of Theorem 1.6 is complete.  Proof of Theorem 1.3. We divide the proof of Theorem 1.3 into three separate cases. Case 1 (1 <γ ≤ 2). As we pointed in the i...

Ngày tải lên: 22/06/2014, 22:20

... Also, if 0<a, b, c, d, e, f <1then we have lim n →∞ x 2n = lim n →∞ y 2n = lim n →∞ z 2n = 0 and lim n →∞ x 2n−1 = lim n →∞ y 2n−1 = lim n →∞ z 2n−1 = ∞ . Proof. From 0 <a, b, c, d, e, f ... On the behavior of solutions of the system of rational difference equations xn +1=xn-1ynxn-1-1 ,yn+ 1= yn-1xnyn-1-1,zn+ 1=1 ynzn. Advances in Diff...

Ngày tải lên: 20/06/2014, 22:20

... approach. The values of different param- eters used: ROW = 100 ms, MV 5, SVM classifier, MULTI 3 set of features (in the case of VF vs proprioceptive, the MULTI4). VF and proprioceptive stimuli, as ... classifier, B) Proprioceptive versus rest stimuli (MAV feature ), SVM classifier, and C) VF versus Proprioceptive versus rest, (MULTI2 = (MAV + VAR + WL) feature se...

Ngày tải lên: 19/06/2014, 08:20

... [35]. In the macrophage, the presence of vitamin D also appears to suppress the pro-inflammatory cytokines, Interferon , TNF , and IL1 2, and down regulate the cel- lular expression of several PAMP ... D's seasonal and population effects on innate immunity, and the presence of a subpopulation of "good infectors." If true, our revision of Edgar Hope-...

Ngày tải lên: 20/06/2014, 01:20

... + T  k=1 1 p( k) |u(k)| p( k) − T  k=1 F + (k, u(k)) + T  k=1 F − (k, u(k) ) ≥ T+1  k =1 A(k − 1, u(k − 1)) + T  k =1 1 p( k) |u(k)| p( k) − T  k =1 F + (k, u(k)). Therefore, similar to the proof of Theorem 4. 1, Theorem ... Theorem 3.2. ProofofTheorem3.2By Proposition 3. 6, J has a minimizer which is a weak solutio n of (1.1). In order to complete...

Ngày tải lên: 20/06/2014, 22:20

... ≤ ε m s , that is lim s→+∞ θ(s) s =0 . Hence, the proof proceeds as that of Theorem 3. 1, applying Theorem 2.4 instead of Theorem 2.3. □ Finally, in the case of p- Laplacian operators, the following ... and of the differential operator with respect to the state variable x. For instance, when f( t, x, x’ )=g(x)h(t, x’) the existence of solutions depends on t...

Ngày tải lên: 20/06/2014, 22:20

... modulation, a normal cyclic prefix (i.e ., 7 SC-FDMA symbols per slot ), a set of specific UE speeds (1 5, 3 0, 6 0, and 120 km/h, respec- tively, constant ), and after the transmission of 1 0,0 00 SC-FDMA ... Evolution, From Theory to Practice, (Wiley, UK, 200 9 ), pp. 345–357 7. HG Myung, Introduction to single carrier FDMA, 15 th European Signal Processing...

Ngày tải lên: 21/06/2014, 00:20

... D )=  | p |≤2m− j b jp (x, t) D p , j =1 , , m . Let L 0 (x, t, D ), N 0j (x, t, D ), be the principal homogeneous parts of L(x, t, D ), N j (x, t, D). It can be directly verified that the derivative D a can ... with the problem. See [11] for more detail. For convenience we rewrite the operators L(x, t, D ), N j (x, t, D) in the form L = L(...

Ngày tải lên: 21/06/2014, 00:20