Báo cáo hóa học: " Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations" ppt

... Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations. Journal of Inequalities and Applications 2011 2011:29. Feng et al. Journal of Inequalities ... aim in this paper is to establish some new nonlinear delay i ntegral inequalities on time scales, which are generalizations of some known cont...

Ngày tải lên: 21/06/2014, 01:20

... decreasing in the second variable”, “  f ( m, n ) is nondecreasing in the first variable a nd decreasing in the second variable”,and“b is decreasing in the second variable” in Theorem 2.8, then Theorem 2.8 ... nonde- creasing in the first variable, while decreasing in the second variable, a is nonde- creasing in the first variable, and b is decreasing in the...

Ngày tải lên: 21/06/2014, 02:20

... obvious that the MACD depicts the nonlinear and linear components of the bat signal and can demonstrate the time varying character of the signal more accurately. 4. ISAR IMAGING OF MANEUVERING TARGETS BASED ... Decomposition with Application in ISAR Imaging of Maneuvering Targets Yong Wang and Yi-Cheng Jiang Research Institute of Electronic Engineering Technology, Ha...

Ngày tải lên: 22/06/2014, 01:20

... Journal of Inequalities and Applications By continuing this process, we can obtain approximations of  b a ft 1/2 t as good as we want, by the value of the function in some of the dyadic points of ... remains true for all 0 ≤ α ≤ λ, including the nabla integral, if f is nonincreasing and for all λ ≤ α ≤ 1, including the delta integral, if f is nondecreasing. Ind...

Ngày tải lên: 22/06/2014, 02:20

... results include many existing ones in the literature as special cases and can be used as tools in the qualitative theory of certain classes of dynamic equations on time scales. 1. Introduction Following ... t herein. The purpose of this paper is to further investigate some sublinear integral inequalities on time scales that have been studied in a recent p...

Ngày tải lên: 21/06/2014, 07:20

... 1 in his Ph.D. thesis in 1988. During the last few years, some integral inequalities on time scales related to certain inequalities arising in the theory of dynamic equations had been established ... is to investigate some delay integral inequalities on time scales by using Gronwall’s inequality and comparison theorem. Our results unify and extend...

Ngày tải lên: 22/06/2014, 03:20

... Fixed point theorem (I) In this section, we assume that the function ψ : ℝ +5 ® ℝ + satisfies the following conditions: (C1) ψ is a strictly increasing, continuous function in each coordinate, and (C2) ... x 0 )). By the condition ( 3 ), { n (d(x 0 , x 1 ))} nÎN is decreasing, it must converges to some h ≥ 0. We claim that h = 0. On the contrary, assume that h > 0. Then,...

Ngày tải lên: 20/06/2014, 22:20

... and continuous in I .The following theorem provides an upper bound on the solutions of (3.7). Theorem 3.2. Assume that F : I × R 2 →R is a continuous function, and there exist contin- uous nonnegative ... (2.44) G −1 denotes the inverse function of G,andthefunctionF(t) is defined in (2.21)foranyt ∈ I. Theorem 2.6. Let u(t) and a(t) be nonnegative continuous functions in J = [α...

Ngày tải lên: 21/06/2014, 22:20

... dt. 2.24 Now multiplying both sides of 2.24 by px, y and then integrating over E × E  , we obtain 2.22. Corollary 2.5. Let the conditions of Theorem 2.4 be satisfied. Then the following inequality ... Cheung 2 1 Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou 310018, China 2 Department of Mathematics, The Unive...

Ngày tải lên: 22/06/2014, 03:20

... consisting of the functions fz, which satisfy the inequal- ity Re  zf  z fz  <β, z∈ U,β>1, 1.2 and let Nβ be the subclass of A, consisting of functions fz, which satisfy the ... β>1. Then the integral operator F α z  z 0  f  t  α dt 2.10 is in the class Nαβ − 11 and α>0. Hindawi Publishing Corporation Journal of Inequalities...

Ngày tải lên: 22/06/2014, 03:20