... Exact Solutions of Einstein’s Field Equations A revised edition of the now classic text, Exact Solutions of Einstein’s Field Equations gives a unique survey of the known solutions of Einstein’s ... 29.2.6 Solutions independent of ζ and ζ 29.3 Solutions of type N (Ψ2 = = Ψ3 ) 29.4 Solutions of type III (Ψ2 = 0, Ψ3 = 0) 29.5 Solutions of type D (3Ψ2 Ψ4 = 2Ψ2 , Ψ2 = 0) 29.6 Solutions of type ... fluid solutions of embedding class one 37.4.4 Pure radiation field solutions of embedding class one Exact solutions of embedding class two 37.5.1 The Gauss–Codazzi–Ricci equations 37.5.2 Vacuum solutions...
Ngày tải lên: 24/04/2014, 17:07
exact solutions of einstein''s field equations
... Exact Solutions of Einstein’s Field Equations A revised edition of the now classic text, Exact Solutions of Einstein’s Field Equations gives a unique survey of the known solutions of Einstein’s ... 29.2.6 Solutions independent of ζ and ζ 29.3 Solutions of type N (Ψ2 = = Ψ3 ) 29.4 Solutions of type III (Ψ2 = 0, Ψ3 = 0) 29.5 Solutions of type D (3Ψ2 Ψ4 = 2Ψ2 , Ψ2 = 0) 29.6 Solutions of type ... fluid solutions of embedding class one 37.4.4 Pure radiation field solutions of embedding class one Exact solutions of embedding class two 37.5.1 The Gauss–Codazzi–Ricci equations 37.5.2 Vacuum solutions...
Ngày tải lên: 24/04/2014, 17:07
... ux + λuβ = Exact Similarity Solutions of Nonlinear PDEs 3.1 Reduction of PDEs by Infinitesimal Transformations 3.2 Systems of Partial Differential Equations 3.3 Self-Similar Solutions of the Second ... Introduction First-Order Partial Differential Equations 2.1 Linear Partial Differential Equations of First Order 2.2 Quasilinear Partial Differential Equations of First Order 2.3 Reduction of ut + un ux + ... Homogeneous Partial Differential Equations 4.6 Systems of Nonhomogeneous Partial Differential Equations 4.7 Exact Hydromagnetic Travelling Waves 4.8 Exact Simple Waves on Shear Flows Exact Linearisation of...
Ngày tải lên: 24/04/2014, 17:09
báo cáo hóa học:" Research Article Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval" pot
... impulsive differential equations, ” Nonlinear Analysis: Theory, Methods & Applications, vol 25, no 4, pp 327–337, 1995 D Guo, “Existence of solutions of boundary value problems for nonlinear second ... impulsive nonlinear Fredholm integral equations and applications,” Journal of Mathematical Analysis and Applications, vol 173, no 1, pp 318–324, 1993 D Guo and X Liu, “Multiple positive solutions of ... differential equations, ” Journal of Computational and Applied Mathematics, vol 223, no 1, pp 438–448, 2009 24 J Yan, “Existence of positive periodic solutions of impulsive functional differential equations...
Ngày tải lên: 21/06/2014, 11:20
Báo cáo hóa học: "Research Article Almost Periodic Solutions of Nonlinear Discrete Volterra Equations with Unbounded Delay" ppt
... limiting equations of integrodifferential equations, ” Funkcialaj Ekvacioj, vol 33, no 2, pp 345–362, 1990 10 M N Islam, “Almost periodic solutions of nonlinear integral equations, ” Nonlinear Analysis: ... “Periodic solutions of nonlinear integrodifferential equations, ” Tohoku Mathematical Journal, vol 41, no 1, pp 105–116, 1989 Y Song and H Tian, “Periodic and almost periodic solutions of nonlinear ... result than that of Theorem 3.2, that is, under the assumption of asymptotic almost periodicity of a bounded solution of 2.7 , he showed the existence of an almost periodic solution of the limiting...
Ngày tải lên: 22/06/2014, 11:20
Báo cáo hóa học: "PERIODIC SOLUTIONS OF NONLINEAR VECTOR DIFFERENCE EQUATIONS" ppt
... supported by the Kamea Fund of the Israel Ministry of Science and Technology References [1] S S Cheng and G Zhang, Positive periodic solutions of a discrete population model, Functional Differential Equations ... existence of periodic solutions of discrete difference equations, Uzbekski˘ ı Matematicheski˘ Zhurnal (1995), no 3, 88–90 (Russian) ı [10] Kh Turaev, On the existence and uniqueness of periodic solutions ... of periodic solutions of a class of nonlinear difference equations, Uzbekski˘ Matematicheski˘ Zhurnal (1994), no 2, 52–54 (Russian) ı ı [11] E Zeidler, Nonlinear Functional Analysis and Its Applications...
Ngày tải lên: 22/06/2014, 22:20
Báo cáo hóa học: "ON DISCRETE ANALOGUES OF NONLINEAR IMPLICIT DIFFERENTIAL EQUATIONS" docx
... analogues of nonlinear implicit differential equations convergence of the explicit Euler method for nonlinear index-1 DAEs is established The results of this section are a nonlinear version” of the ... also an index-1 IDE Proof For the proof of the theorem we first reduce (2.6) to its normal form (2.3) Then we will show that (2.3) is of index-1 by verifying all the conditions of Definition 2.1 Let ... applied to nonlinear DAEs and PDAEs lead to nonlinear IDEs In this paper the unique solvability of discretized problems obtained via discretization of nonlinear implicit differential equations...
Ngày tải lên: 22/06/2014, 22:20
Báo cáo nghiên cứu khoa học: " EXISTENCE OF SOLUTIONS OF SET CONTROL DIFFERENTIAL EQUATIONS" doc
... and applications to set differential equations, J Nonlinear Analysis Vol 61, pp 559- 575, (2005) [4] Lakshmikantham V; Set differential equations versus fuzzy differential equations, J Applied Mathematics ... Electronic Journal of Differential Equations Vol (2006), N.108, pp 1- [14] Phu N D., Tung T.T., Some Properties of Sheaf solutions of Sheaf set Control Problems, J Nonlinear Analysis, Vol 67(2007), ... ] Some results on comparison of solutions of SDE and stability of solutions of SDE were studied in [1, 4, 5] MAIN RESULTS In this paper, we provide a set control differential equation (SCDE)...
Ngày tải lên: 22/07/2014, 06:20
guillermo sapiro - geometric partial differential equations and image analysis
... GEOMETRIC PARTIAL DIFFERENTIAL EQUATIONS AND IMAGE ANALYSIS This book provides an introduction to the use of geometric partial differential equations in image processing and ... advanced solutions Guillermo Sapiro is a Professor of Electrical and Computer Engineering at the University of Minnesota, where he works on differential geometry and geometric partial differential equations, ... Three-Dimensional Differential Geometry 1.6 Discrete Differential Geometry 1.7 Differential Invariants and Lie Group Theory 1.8 Basic Concepts of Partial Differential Equations 1.9 Calculus of Variations...
Ngày tải lên: 05/06/2014, 11:58
Báo cáo hóa học: " Research Article Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions" potx
... ordinary differential equations, ” Nonlinear Analysis, vol 51, no 7, pp 1223–1232, 2002 [24] C Bai, “Existence of solutions for second order nonlinear functional differential equations with periodic ... superlinear growth of the nonlinearity of f (t, p) in p Inspired by [21, 24, 25], in this paper, we investigate the following second-order impulsive nonlinear differential equations with periodic ... population,” Nonlinear Analysis: Real World Applications, vol 4, no 4, pp 639–651, 2003 [16] R P Agarwal and D O’Regan, “Multiple nonnegative solutions for second order impulsive differential equations, ”...
Ngày tải lên: 22/06/2014, 19:20
Tài liệu Báo cáo " Fully parallel methods for a class of linear partial differential-algebraic equations " pptx
... Splitting-up Method for Partial Differential Equations and Its Apptications to Navier-Stockes Equations, Applied Mathematics Letters Vol 4, No (1992) 25 Vu Tien Dung / VNU Journal of Science, Mathematics ... eight computing nodes of 51.2GFlops Each node contains two Intel Xeon dual core 3.2GHz, 2GB Ram The following table shows the dependence of the error of the approximate solutions on the τ number ... number of iterations needed for convergence and the total time for the serial computation of Red - Black SOR and Jacobi method are given in the following tables Table Number of Iterations of sequential...
Ngày tải lên: 13/02/2014, 03:20
báo cáo hóa học: " Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping" ppt
... decay of solutions for a quaslinear system of viscoelastic equations Nonlinear Anal 71, 2257–2267 (2009) doi:10.1016/j.na.2009.01.060 22 Agre, K, Rammaha, MA: Systems of nonlinear wave equations ... (2006) 23 Said-Houari, B, Messaoudi, SA, Guesmia, A: General decay of solutions of a nonlinear system of viscoelastic wave equations Nonlinear Diff Equ Appl (2011) 24 Muñoz Rivera, JE: Global solution ... 19 Han, XS, Wang, WM: Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source Nonlinear Anal 71, 5427–5450 (2009) doi:10.1016/j.na.2009.04.031...
Ngày tải lên: 21/06/2014, 00:20
báo cáo hóa học: " Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type" doc
... conditions x(0) = -x(1) The authors of [20-24] consider this kind of “anti-periodic” conditions for differential equations or impulsive differential equations To the best of our knowledge it is the first ... Advances in Difference Equations 2011, 2011:14 http://www.advancesindifferenceequations.com/content/2011/1/14 Page of 17 It completes the proof Now consider the existence of solutions of PBVP (1.1) It ... integro -differential equation of Volterra type on time scales Nonlinear Anal 60, 429–442 (2005) Xing, Y, Ding, W, Han, M: Periodic boundary value problems of integro -differential equations of Volterra...
Ngày tải lên: 21/06/2014, 02:20
báo cáo hóa học:" Research Article Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations" potx
... Problems the proof of existence of viscosity solutions of first-order Hamilton-Jacobi equations, Crandall et al had applications of Perron’s Method to second-order partial differential equations in ... classical solutions twice continuously differentiable solutions in the pointwise sense of G ≤ on relatively open subset of O are solutions of G− ≤ Suppose, moreover, that whenever u is a solution of ... Integral Equations, vol 3, no 1, pp 77–91, 1990 D Nunziante, “Existence and uniqueness of unbounded viscosity solutions of parabolic equations with discontinuous time-dependence,” Nonlinear Analysis: ...
Ngày tải lên: 21/06/2014, 20:20
Báo cáo hóa học: " Research Article Equivalent Solutions of Nonlinear Equations in a Topological Vector Space with a Wedge" doc
... that operator (2.29) is nonlinear Mutual comparability of solutions of (1.1) The aim of this section is to establish certain conditions under which each two solutions of (1.1) lying in a certain ... K-negligibility of elements of the set Π; (b) A is continuous in the topology of X Then all the solutions of (1.1) lying in Π are K-equivalent to one another Prior to the proof of Corollary 4.5, ... solvability of linear equations determined by monotone decomposable operators,” Miskolc Mathematical Notes, vol 5, no 1, pp 71–82, 2004 ´ [5] A Ronto, “On equivalent solutions of nonlinear equations...
Ngày tải lên: 22/06/2014, 18:20
Báo cáo hóa học: " Research Article Necessary Conditions of Optimality for Second-Order Nonlinear Impulsive Differential Equations" docx
... estimate of mild solution in space C (I,X) which can be proved by Gronwall lemma Step by step, the existence of PCl -mild solution of (3.1) can be derived Let xu denote the PCl -mild solution of system ... 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 Ahmed, “Necessary conditions of optimality ... 2 Advances in Difference Equations technique to derive the maximum principle for a Lagrange problem of systems governed by a class of the second-order nonlinear impulsive differential equation...
Ngày tải lên: 22/06/2014, 19:20
PERIODIC SOLUTIONS OF NONLINEAR SECOND-ORDER DIFFERENCE EQUATIONS ´ JESUS RODRIGUEZ AND DEBRA LYNN pdf
... Periodic solutions of nonlinear second-order difference equations As a consequence of this result we prove that there is a countable subset S of [−2,2] such that if b∈S, then / y(t + 2) + by( t + ... columns of Ψ(·) span the solution space of the homogeneous “adjoint” problem Lx = 0, (2.14) 176 Periodic solutions of nonlinear second-order difference equations where L = XN → XN is given by Lx(t) ... periodic solutions of every odd period larger than one The results presented in this paper extend previous ones of Etheridge and Rodriguez [4] who studied the existence of periodic solutions of difference...
Ngày tải lên: 23/06/2014, 00:20
Báo cáo nghiên cứu khoa học: " ON THE EXISTENCE OF SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS WITH UNBOUNDED COEFFICIENTS" ppt
... Topological degree for a class of operators and applications, Nonlinear Analysis 57, 505-518, (2004) [5] M.A Krasnosel´kii, Topological methods in the theory of nonlinear integral equations, Pergamon Press, ... ⎦ Ω i =1 Ω ⎣ i =1 which completes the proof of the lemma N ∫ ∑ a i ( x, ∇u k ) Trang 22 TẠP CHÍ PHÁT TRIỂN KH&CN, TẬP 9, SỐ -2006 Proof of Theorem 3.1 By Lemma 3.1, there exists a sequence {u ... be a mapping of class ( S)+ on D and let p be in X* \ f ( ∂D ) By Theorems and in [ 2] , the topological degree of f on D at p is defined as a family of integers and is denoted by deg ( f ,...
Ngày tải lên: 22/07/2014, 10:21
Báo cáo y học: "Modelling of oedemous limbs and venous ulcers using partial differential equations" pdf
... modelling of human limbs affected by oedema and venous ulcers In what follows, we discuss two examples of shape modelling of human limbs namely modelling of an arm shape and modelling of a leg ... function X as a mapping of a point in Ω to a point X(u, v) in the physical space The shape of the surface patch is usually determined by specifying a set of boundary data at the edge of (∂)Ω Typically ... exponential functions The specific forms of A0 (u), An (u), Bn (u) and R(u, v) for the case of Equations (1) can be found in [17] and for the case of Equations (2) can be found in [21] The main...
Ngày tải lên: 13/08/2014, 23:20
Partial Differential Equations part 1
... What are the variables? • What equations are satisfied in the interior of the region of interest? • What equations are satisfied by points on the boundary of the region of interest? (Here Dirichlet ... the solution of large numbers of simultaneous algebraic equations When such equations are nonlinear, they are usually solved by linearization and iteration; so without much loss of generality ... write this system of linear equations in matrix form we need to make a vector out of u Let us number the two dimensions of grid points in a single one-dimensional sequence by defining i ≡ j(L...
Ngày tải lên: 28/10/2013, 22:15