Báo cáo hóa học: " Research Article Application of the Subordination Principle to the Harmonic Mappings Convex in One Direction with Shear Construction Method" pot

... |wz| < 1. In this paper we examine the class of functions that are convex in one direction. The shear construction is essential to the present work as it allows one to study harmonic functions ... Subordination Principle to the Harmonic Mappings Convex in One Direction with Shear Construction Method Yas¸ar Polato ˘ glu, H. Esra ¨ Ozk...

Ngày tải lên: 21/06/2014, 07:20

... split into a fixed number of bands [14]. So, in respect to calculation of coefficients, given in (3)and(4), the following working parameters are to be determined, namely, the initial number of time-variant ... physical interpretation of selected set of features. Nonetheless, and just for the sake of illustration, this work carries out tuning of proposed training appro...

Ngày tải lên: 21/06/2014, 05:20

... and nontrivial estimates in the proof. 2. Proof of Theorem 1.2 Let us begin with recalling some known conclusion. Similar to the proof of 17, we can easily get the following. Lemma 2.1. If Ω satisfies ... Journal of Inequalities and Applications 15 E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Mathematical Series, no. 30, Prince...

Ngày tải lên: 21/06/2014, 07:20

... and using the similar proof of Theorem 3.1, we can obtain the result easily. 4. A Numerical Example In the following, we give an example to illustrate the validity of our method. 4 Advances in Difference ... the conditions in the theorem are dependent on the upper bound of the derivative of time-varying delay and the delay kernels h j ,j ∈ Λ, and independent...

Ngày tải lên: 21/06/2014, 05:20

... the relation w  ≡ 0 from this inequality with the use of Gronwall inequality. Then, v ≤ u in D T , and the proof of part i of the lemma is completed. The similar argument gives the proof of ... possess the properties 2.30 and 2.31 for the case m  1. By the principle of induction, we complete the proof of the lemma. 3. Uniform Estimates of {u m...

Ngày tải lên: 21/06/2014, 05:20

... 0 then the point x n−k ,y n−k  is on the line containing the fixed point which is parallel to L. Remark 4.6. Notice that, according to the results in 8, when |λ|  ρ and the argument θ of the ... α 2 . Proof. As we have seen in Section 2, the solution to System 1.2 starting at a point x 0 ,y 0  not belonging to the forbidden set is just the projection by...

Ngày tải lên: 21/06/2014, 05:20

... with delays. Therefore, in this paper, we consider a boundary value problem of a general delayed nonlinear fractional system. With the help of some fixed point theorems and the properties of the ... Therefore, the obtained results generalize and include some existing ones. The remaining part of this paper is organized as follows. In Section 2,weintroduce some basics...

Ngày tải lên: 21/06/2014, 05:20

... description of the dynamics. One of the possible gener- alizations of Langevin equation is to replace the ordinary derivative by a fractional derivative in it. This gives rise to fractional Langevin equation, ... problem to Langevin equation involving two fractional orders. The Banach fixed point theorem and Krasnoselskii’s fixed point theorem are applied to establish...

Ngày tải lên: 21/06/2014, 05:20

... main results, we also need the following lemmas. The first part of the next lemma is an immediate consequence of the subdifferential inequality, and the proof of the second part can be found in ... αα n }.Inviewof Lemma 2.4, we can obtain the desired conclusion easily. This completes the proof. As an application of Theorems 3.1 and 3.2, we have the following resul...

Ngày tải lên: 21/06/2014, 05:20

... α-inverse- strongly monotone mapping of C into H, and let S be a nonexpansive mapping of C into itself such that FS ∩ Ω /  ∅,whereΩ denotes the set of solutions of a variational inequality for the α-inverse- strongly ... the following theorem. Theorem IT. Let C be a closed convex subset of a real Hilbert space H.LetA be an α-inverse- strongly monotone mapping of C into...

Ngày tải lên: 21/06/2014, 05:20