Báo cáo sinh học: " Research Article One-Dimensional Compressible Viscous Micropolar Fluid Model: Stabilization of the Solution for the Cauchy Problem" pot

... Problems Volume 2010, Article ID 796065, 21 pages doi:10.1155/2010/796065 Research Article One-Dimensional Compressible Viscous Micropolar Fluid Model: Stabilization of the Solution for the Cauchy Problem Nermina ... perturbations of the constants, we first derive a priori estimates for the solution independent of T. In the second part of the w...

Ngày tải lên: 21/06/2014, 16:20

... Theory, Prentice-Hall, Upper Saddle River, NJ, USA, 2002. [15] G. Kitagawa, The two-filter formula for smoothing and an implementation of the Gaussian-sum smoother,” Annals of the Institute of ... is available. Therefore, all the subsequent decisions in the frame will be erroneous with high probability. The main feature of the proposed algorithm is that the multimodali...

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... to the types and the density of log defects. The attenuation of X-ray in the logs reduces the energy, reflected in different degrees of activating the same image intensifier screen. The visual information of ... cost function till the convergence. Then, the result image was given by the states of the neurons. The tools of Matlab were applied to implement the...

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... y)+ε. (3.12) Then for each x ∈ X, there exists y ∈ Y such that g(x, y) >a,andforeachy ∈ Y,there exist x ∈ X such that q(x, y) <b. Therefore, the conclusions (1) and (2) of Theorem 3.13 are ... consider the four set-valued mappings S ∗ ,H ∗ ,G ∗ ,T ∗ : Y → 2 X , then by the same process of the proof of Case (1), we also conclude that there exists x ∈ X such that T( x) = φ...

Ngày tải lên: 22/06/2014, 19:20

... either of i and ii implies iv. Now, we show that iii implies iv. We notice that the set X 1 ∩ X 2 is closed by the closedness of S. Then, we need only to show that for any t ∈ R 1 ,theset A ... Assumption 1 hold, then f is l.s.c. function from X 1 to R 1 ∪{∞}. Further assume that the solution set X of VQVI is nonempty, then Domf /  ∅. Proof. First we show that...

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... α  t α  . 3.30 From Theorem 3.1, we obtain the following corollary concerning the stability of 1.5 in the sense of the JMRassias stability of functional equations controlled by the mixed product- sum of powers ... of Sciences of the United States of America, vol. 27, pp. 222–224, 1941. 8 T. Aoki, “On the stability of the linear transformation in Banach...

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... s  q σ  dσ ds. 3.24 The right-hand side of 3.24 tends to 0 as t 2 → t 1 as a consequence of the continuity of St in the uniform operator topology for t>0 by the compactness of St.SoI 3 → ... 0. 3.27 So Φ is continuous. By Krasnosel’skii’s theorem, we have the conclusion of the theorem. Remark 3.3. In Theorem 3.2, if we furthermore suppose that the hyp...

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... is the normal fundamental matrix of system 2. By using the results developed in 5 for problems without impulses, the general solution of the problem 1 bounded on the semiaxes has the form x  t, ... dichotomous on the semiaxes R − and R  and by using the theory of pseudoinverse matrices, we establish necessary and sufficient conditions for the indicated prob...

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... determined. The procedure describing the method of their deriving is a crucial part of the proof of Theorem 4.1 where we give their form as well. Proof. Substitute 4.18 into 4.3 and equate the terms ... coinciding with the number of unknowns of a differential system with a single delay. As an example of application of the results derived, the problem of bifurc...

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... that x ∗ is a solution of the PBVP 1.1. Furthermore, we get from x ∗ ∈ P R 1 ,R 2  that δR 1 ≤ δ  x ∗  ≤ x ∗  t  ≤  x ∗  ≤ R 2 , for t ∈  0,σ  T  T . 3.23 On the other hand, if ... fixed points of Φ are solutions of the PBVP 1.1. Since ft, x is nondecreasing on x, we have the following lemma. Advances in Difference Equations 3 Definition 2.6. For h>0, w...

Ngày tải lên: 21/06/2014, 16:20