3 boundary and initial value problems of electrodynamics

... > C Φ τ 4.22 ≥ R and t ∈ 1, T , f t, φ ≥ C φ τ 4.23 Boundary Value Problems 21 For every y ∈ ∂KR , by the definition of · , · τ and the definition of Lemma 3.2, there yt0 τ R and ut0 0, thus yt0 ... Shi, and M J Gai, “Boundary value problems for functional differential systems,” Indian Journal of Pure and Applied Mathematics, vol 36, no 12, pp 685–705, 2005 X Deng and H Shi, “On boundary value ... J Yang, B Shi, and D C Zhang, “Existence of positive solutions for boundary value problems of nonlinear functional difference equation with p-Laplacian operator,” Boundary Value Problems, vol 2007,...

Ngày tải lên: 21/06/2014, 11:20

... Alsaedi and Aqlan Boundary Value Problems 2011, 2011:47 http://www.boundaryvalueproblems.com/content/2011/1/47 Page of 11 success at analyzing and predicting the onset of chaos in speech and its ... attracted the attention of many researchers, and the method was extensively developed and applied to a wide range of initial and boundary value problems for different types of differential equations ... ℝ] are lower and upper solutions of (1.1-1.2), respectively Alsaedi and Aqlan Boundary Value Problems 2011, 2011:47 http://www.boundaryvalueproblems.com/content/2011/1/47 Page of 11 (A2) N Ỵ...

Ngày tải lên: 20/06/2014, 22:20

... solutions of singular third-order three-point boundary value problem,” Journal of Mathematical Analysis and Applications, vol 306, no 2, pp 589–603, 2005 10 Boundary Value Problems 13 Z Du, W Ge, and ... nonlinear boundary value problems: existence, location and ´ multiplicity results,” Journal of Mathematical Analysis and Applications, vol 339, no 2, pp 1342–1353, 2008 B Hopkins and N Kosmatov, ... the equivalence of · and · again, we get xn − x∗ → n → ∞ This completes the proof Boundary Value Problems Example 3.4 In this paper, the results apply to a very wide range of functions, we...

Ngày tải lên: 21/06/2014, 05:20

... Expert Science Foundation of Naval Aeronautical Engineering Institute 12 Boundary Value Problems References [1] L H Erbe and H Wang, “On the existence of positive solutions of ordinary differential ... 176–190, 1970 [3] G B Gustafson and K Schmitt, “Nonzero solutions of boundary value problems for second order ordinary and delay-differential equations,” Journal of Differential Equations, vol 12, ... boundary value problems, ” Applied Mathematics Letters, vol 12, no 3, pp 11–17, 1999 [7] S J Yang, B Shi, and M J Gai, “Boundary value problems for functional differential systems,” Indian Journal of...

Ngày tải lên: 22/06/2014, 19:20

... comparison results for the smallest eigenvalues of two eigenvalue problems for boundary value problems of 2nth-order linear differential equations, by using the theory of u0 -positive linear operator in ... an eigenvalue of the problem (1.3) J Ji and B Yang Proof (a) Let λ be an eigenvalue of the problem (1.3) and y = (y1 , y2 , , yn−1 , yn )T be a corresponding eigenvector Then, in view of Lemma ... of positive elements in the set {b1 ,b2 , ,bn } Let {λ1 < λ2 < · · · < λ j } be the set of all eigenvalues of the problem (1.3) and let {μ1 < μ2 < · · · < μk } be the set of all eigenvalues of...

Ngày tải lên: 22/06/2014, 22:20

... action of G−1 on both sides of (3.6) and using the last observations, we get n ∆u + Qn,n−1 ∆v = G−1 u,un + v q n (3.7) P K Anh and H T N Yen 199 Now, applying Pn and Qn to both sides of (3.7), ... thanks Prof Shao Xiumin and Prof Liang Guoping for their hospitality during his visit to the Institute of Mathematics, Chinese Academy of Sciences References [1] [2] [3] [4] P K Anh and L C Loi, ... nonsingular if and only if Sn ∩ KerAn−1 = {0}, (2.3) where, as in the DAE case, Sn := {ξ ∈ Rm : Bn ξ ∈ ImAn } The proof of Lemma 2.1 repeats that of [3, Lemma 1] with some obvious changes, and −1 uses...

Ngày tải lên: 23/06/2014, 00:20

... approach of Berz and Makino, and their COSY package Alternatively, one can subdivide the initial interval vector (box) y into smaller boxes, perform integrations with them as initial conditions, and ... MacOSXWithProfil and LinuxWithProfil are given in Figures 2.2 and 2.3 2.3 Installation process variable stores CXX CXXFLAGS name of C++ compiler C++ compiler flags GPP LIBS GNU C++ standard library ... translation of the mathematical theory of a method into a computer program In particular, we can split the theory into small pieces, translate each of them, and keep mathematical expressions and the...

Ngày tải lên: 12/01/2014, 22:07

... substance use problems in children and adolescents and also can increase the severity of such problems Identifying Mental Health and Substance Use Problems of Children and Adolescents • Children and adolescents ... Identifying Mental Health and Substance Use Problems of Children and Adolescents Prevention and Early Identification of Children’s and Adolescents’ Mental Health and Substance Use Problems Chapter Chapter ... methods of identifying such problems including caregivers’ and professionals’ awareness of warning signs and the administration of screening tools and show the process for assessing and developing...

Ngày tải lên: 30/03/2014, 03:20

... sets of a family of nonexpansive mapping see 6, The ploblem of finding a common element of EP F, A and the set of all common fixed points of a family of nonexpansive mappings is of wide interdisciplinary ... Journal of Nonlinear and Convex Analysis, vol 6, no 1, pp 117–136, 2005 A Moudafi and M Th´ ra, “Proximal and dynamical approaches to equilibrium problems, ” in Ille Posed Variational Problems and ... Kangtunyakarn and S Suantai, “A new mapping for finding common solutions of equilibrium problems and fixed point problems of finite family of nonexpansive mappings,” Nonlinear Analysis: Theory, Methods &...

Ngày tải lên: 21/06/2014, 11:20

... , ∀n ≥ 1.25 The proof method of the main result of this paper is different with ones of others in the literatures and our result extends and improves the ones of Colao et al and some others 6 ... set of an infinite family of generalized equilibrium problems and in the common fixed-point set of a finite family of nonexpansive mappings in a Hilbert space Let {Tn }N N ≥ be a finite family of ... for finding a common element of the set of a finite family of nonexpansive mappings and the set of solutions of an equilibrium problem, by combining the schemes 1.11 and 1.17 , Colao et al proposed...

Ngày tải lên: 21/06/2014, 11:20

... element of the set of fixed points of a nonexpansive mapping and Fixed Point Theory and Applications the set of solution of variational inequalities for β-inverse-strongly monotone, Takahashi and ... a common element of the set of solutions of the equilibrium problem 1.13 , the set of common fixed points of infinitely family nonexpansive mappings, and the set of solutions of variational inequality ... element of the set of solutions of the equilibrium problem 1.13 and the set of common fixed points of a countable family of nonexpansive mappings on C Starting with an arbitrary initial x1 ∈ C, define...

Ngày tải lên: 21/06/2014, 20:20

... problem of finding a common fixed point of a countable family of nonexpansive mappings, and the problem of finding a zero of a monotone operator The results obtained in this paper improve and extend ... J.-C Yao and O Chadli, “Pseudomonotone complementarity problems and variational inequalities,” in Handbook of Generalized Convexity and Generalized Monotonicity, N Hadjisavvas, S Komlosi, and S ... Takahashi and W Takahashi 11 introduced an iterative scheme by the viscosity approximation method for finding a common element of the set of solution 1.1 and the set of fixed points of a nonexpansive...

Ngày tải lên: 21/06/2014, 23:20

... spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, A G Kartsatos, Ed., vol 178 of Lecture Notes in Pure and Applied Mathematics, ... completes the proof Lemma 2.6 Let C be a closed convex subset of a smooth Banach space E and let x, y ∈ E Then the set K : {v ∈ C : φ v, y φ v, x } is closed and convex Proof As a matter of fact, the ... uniformly convex and uniformly smooth Banach space, and let C be a nonempty closed convex subset of E Let {Ωi }N1 be a finite family of nonempty closed convex subset of i N C and x1 ΠC1 x0 , define...

Ngày tải lên: 21/06/2014, 23:20

... Combettes and Hirstoaga [2] and Takahashi and Takahashi [4], we introduce an iterative scheme for finding a common element of the set of solutions of EP(h) and the set of fixed points of infinite ... 1997 [4] S Takahashi and W Takahashi, “Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces,” Journal of Mathematical Analysis and Applications, vol ... Point Theory and Applications improve the corresponding results announced by Combettes and Hirstoaga [2], Moudafi [5], Wittmann [6], and Tada and Takahashi [7] In this paper, motivated and inspired...

Ngày tải lên: 22/06/2014, 06:20

... investigated the value- relevance of brand value and used the estimated brand valuations of Financial World as a proxy for the brand value The authors found that brand values are valuerelevant as ... moderate the value- relevance of accounting information Next, value- relevance is explored in detail 2.3 VALUE- RELEVANCE OF EARNINGS AND BOOK VALUE This section outlines the underpinnings of value- relevance ... firm j at year t, and BVPS is book value per share for firm j at year t Researchers often decompose this model and investigate the value- relevance of earnings and book value of equity separately...

Ngày tải lên: 10/12/2016, 15:34

... the managers of individual divisions or segments of the firm As a consequence, the problems of planning the operations of these semiautonomous divisions and evaluating the performance of the division ... INTRODUCTION The overall objective of this thesis is to evaluate some of the accounting problems which may arise as a consequence of internal transfers between the segments of large decentralised organisations ... section of this thesis would not have been possible, and thus the author is indebted to the rn ana.gern en t of all the participating c orn p an i e s , In Part I of the thesis SOITle of the characteristics...

Ngày tải lên: 10/12/2016, 15:37

... Solonnikov, and N N Uralzeva, Linear and Quasi-Linear Equations of Parabolic Type, American Mathematical Society, Rhode Island, 1968 [6] J.-L Lions and E Magenes, Non-Homogeneous Boundary Value Problems ... L2 (∂Ω × (0,T)) and comparing it with g , we get an accuracy of the approximate solution We can also compare the values of v(x,t) in (3.10) and g(x,t) in (3.4) at different points of the lateral ... acknowledge the many helpful suggestions of the referee References [1] M S Agranoviˇ and M I Viˇik, Elliptic problems with a parameter and parabolic problems of c s general type, Uspekhi Matematicheskikh...

Ngày tải lên: 22/06/2014, 22:20

... Agarwal, D O’Regan, V Lakshmikantham, and S Leela, Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach, Nonlinear ... nonlinear boundary value problems for the oneu dimensional p-Laplacian, Appl Math Lett 14 (2001), no 2, 189–194 214 [10] [11] Discrete initial and boundary value problems R Man´ sevich and F Zanolin, ... of China Grant 10301033 References [1] [2] [3] [4] [5] [6] [7] [8] [9] R P Agarwal, D Jiang, and D O’Regan, A generalized upper and lower solution method for singular discrete initial value problems, ...

Ngày tải lên: 23/06/2014, 00:20

Ngày tải lên: 31/03/2014, 15:23