Báo cáo hóa học: " Research Article Necessary Conditions of Optimality for Second-Order Nonlinear Impulsive Differential Equations" docx

... Difference Equations Volume 2007, Article ID 40160, 17 pages doi:10.1155/2007/40160 Research Article Necessary Conditions of Optimality for Second-Order Nonlinear Impulsive Differential Equations Y. ... control for a class of strongly nonlinear impulsive equations in Banach spaces,” Nonlinear Analysis, vol. 63, no. 5–7, pp. e53–e63, 2005. [9] X. Xiang and N. U...

Ngày tải lên: 22/06/2014, 19:20

... approximation to u for various values of N, ε. We also define the computed parameter-uniform rate of convergence to be r N,p  ln  e N,p /e 2N,p  ln 2 ,p 1, 2. 5.4 The values of ε for which we ... pages doi:10.1155/2010/325654 Research Article A Parameter Robust Method for Singularly Perturbed Delay Differential Equations Fevzi Erdogan Department of Mathematics, Facult...

Ngày tải lên: 21/06/2014, 07:20

... 2010, Article ID 357404, 12 pages doi:10.1155/2010/357404 Research Article Exponential Decay of Energy for Some Nonlinear Hyperbolic Equations with Strong Dissipation Yaojun Ye Department of Mathematics ... theorems for nonlinear evolution equations,” The Quarterly Journal of Mathematics. Oxford, vol. 28, no. 112, pp. 473–486, 1977. 8 Z. Yang, “Existence and asymptotic b...

Ngày tải lên: 21/06/2014, 11:20

... 2009, Article ID 781579, 9 pages doi:10.1155/2009/781579 Research Article An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations Fevzi Erdogan Department of Mathematics, ... 10 for motivation for this type of mesh, which are constructed a priori and depend of the parameter ε, the problem data and the number of corresponding mesh points. I...

Ngày tải lên: 22/06/2014, 11:20

... iterative approximation, and error estimate of solutions for these functional equations. Under certain conditions, we also study properties of solutions for one of the functional equations. The results ... 3.1 follows from Theorem 2.1.This completes the proof. Remark 3.2. The conditions of Theorem 3.1 are weaker than the conditions of Theorem 3.1 of Bhakta and Choudhury ...

Ngày tải lên: 21/06/2014, 11:20

... framework of significantly improving throughput of WMNs through proper placement of gateways. To evaluate the performance of the new gateway placement scheme, a nonasymptotic throughput of WMNs is ... that impact the throughput of WMNs, that is, the number of mesh routers, the number of mesh clients, the number of gateways, traffic demand from mesh clients, locations of gatew...

Ngày tải lên: 21/06/2014, 18:20

... obtained criteria for the existence of positive solutions. The purpose of this paper is to investigate further the singular BVP for delay higher- order dynamic equation 1.1. By the use of the fixed ... proof of our main theorem. In Section 3, we prove some theorems on the existence of positive solutions for BVP 1.1. Moreover, we give an example to illustrate our main result...

Ngày tải lên: 21/06/2014, 20:20

... Publishing Corporation Journal of Inequalities and Applications Volume 2007, Article ID 10725, 15 pages doi:10.1155/2007/10725 Research Article Stability Problem of Ulam for Euler-Lagrange Quadratic ... b 2 Q(x) (3.15) for all b ∈ B (b = 0) and all x ∈ B M 1 . Thus the mapping Q satisfies Q(bx) = b 2 Q(x) (3.16) for all b ∈ B and for all x ∈ B M 1 , as desired. This complete...

Ngày tải lên: 21/06/2014, 22:20

... definition of the sharp maximal function, we complete the proof of 2.12. Similarly, we can deduce 2.13 and 2.14. The details are omitted. Now we are in the position to prove Theorem 1.1. Proof of ... r j  1 for some j,   I α,m  f 1 , ,f m    L s,∞ μ ≤ C m  j1   f j   L r j μ . 2.9 Proof. The proof follows the idea that, for the classical setting, can be found...

Ngày tải lên: 22/06/2014, 02:20

... of functions analytic in U and let Ha, n be the subclass of H consisting of functions of the form fza  a n z n  a n1 z n1  ··· . Let A be the subclass of H consisting of functions of ... A j > 0 for all j  1, ,q, B j > 0 for all j  1, ,p,and1  p j1 B j −  q j1 A j ≥ 0for suitable values |z|. For special case, when A j  1 for all j  1, ,q,and B j...

Ngày tải lên: 22/06/2014, 02:20