Báo cáo hóa học: "AN EXISTENCE THEOREM FOR AN IMPLICIT INTEGRAL EQUATION WITH DISCONTINUOUS RIGHT-HAND SIDE" ppt

... Inequalities and Applications References 1 R. P. Agarwal, Difference Equations and Inequalities: Theory, Methods and Applications, vol. 155 of Monographs and Textbooks in Pure and Applied Mathematics, ... Mathematics with Applications, vol. 28, no. 1–3, pp. 227–241, 1994. 6 E. Kurpınar, “On inequalities in the theory of differential equations and their discrete analogues,” Pan-American Ma...

Ngày tải lên: 21/06/2014, 07:20

... ) =|L( f )| for any continuous map f of a given infranilmanifold with Abelian holonomy group of odd order. This theorem is the analogue of a theorem of Anosov for continuous maps on nilmanifolds. ... this theorem of Anosov. Firstly, one can search classes of maps for which the relation holds for a specific type of manifold. For instance, Kwasik and Lee proved in [10] that the...

Ngày tải lên: 22/06/2014, 22:20

... Existence of nonexpansive retractions for amenable semigroups of nonexpansive mappings and nonlinear ergodic theorems in Banach spaces. J Funct Anal. 161,62–75 (1999). doi:10.1006/ jfan.1998.3352 16. ... Piri and Badali: Strong convergence theorem for amenable semigroups of nonexpansive mappings and variational inequalities. Fixed Point Theory and Applications 2011 2011:55. Submit you...

Ngày tải lên: 20/06/2014, 22:20

... and integral equations were given in [5-7,12-19]. In particular, Harjani and Sadarangani [5] proved some fixed point theorems in th e context of ordere d metric spaces as the extension s of Theorem 1.3. ... results were obtain by Ran and Reurings [10] and then by Nieto and Lopez [11]. The following fixed point theorem is the version of theorems, which were proved in those papers. Theor...

Ngày tải lên: 21/06/2014, 00:20

... is bounded, closed and con- vex and T is a nonexpansive mapping of C into itself, then F(T) is nonem pty; for instance, see [5]. Recently, Tada and Takahashi [6] and Takahashi and Takahashi [7] considered ... − A y ≥α||Ax − A y || 2 for all x, y Î C. A mapping T with domain D(T) and range R(T) is called nonexpansive if || Tx − T y|| ≤ || x − y|| (1:4) for all x, y Î D(T) and T is sai...

Ngày tải lên: 21/06/2014, 01:20

... H Open Access Weak convergence theorem for the three-step iterations of non-Lipschitzian nonself mappings in Banach spaces Lanping Zhu, Qianglian Huang * and Xiaoru Chen * Correspondence: qlhmath@yahoo.com.cn College ... + 3 2 n . Therefore, we can conclude that T is asymptotically nonexpansive in the intermedi- ate sense but not an asymptotically nonexpansive. If T 1 , T 2 , and T 3 ar...

Ngày tải lên: 21/06/2014, 17:20

... 3, pp. 694–704, 1995. [5] Y P. Lin and P. P. Vaidyanathan, “Periodically nonuniform sampling of bandpass signals,” IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, ... systematic results, which can be explored for reconstruction, is problematic. A possi- bly way for m>2andk 0 ≥ 1 consists in transformation of (13) into Vandermonde’s form by appending...

Ngày tải lên: 22/06/2014, 23:20

... robot-aided therapy for the upper limbs with the ReoGo™ system and on the patients ’ degree of acceptance and compliance with the treatment. Subjects with stroke (chroni c hemiparesis) and with the following * ... significant increase between T0 and T2 was found for all assessment scores, with the exception of the MRC for external shoulder rotators (p = 0.05) and of the AS fo...

Ngày tải lên: 19/06/2014, 08:20

... , k) solving (2.16) and satisfyi ng (2.14). 3 Existence and uniqueness First, we state a theorem that guarantees the existence of a solution. It can be obtained using a standard monotonicity ... constructed in Theorem 2.2 become positive at x =0 instantaneously. (b) We can construct small supersolution with the aid of the self-similar ones of exponential form that we found in Theor...

Ngày tải lên: 21/06/2014, 00:20

... The result of Theorem 2.5 holds for an arbitrary time scale. Therefore, using Theorem 2.5, we can obtain many results for some peculiar time scales. For example, letting T  R and T  Z, respectively, ... corresponding discrete analogues. Our results can be used as handy t ools to study the properties of certain dynamic equations on time scales. Throughout this paper, a knowledge...

Ngày tải lên: 21/06/2014, 20:20