linear difference equations ppt

... transformations of linear systems of difference equations By Alexei Borodin ISOMONODROMY TRANSFORMATIONS 1147 probability can be expressed through a solution of the difference Schlesinger equations ... the difference Schlesinger equations (3.1)– (3.3) with the initial conditions {B i (0) = B i }, and let B i (x 1 , ,x n )bethe solution of the classical Schlesinger equations (5.4) with the initial ... of this conjecture, we explicitly show that the difference Schlesinger equations converge to the conventional Schlesinger equations in the limit ε → 0. Note that the monodromy representation of...

Ngày tải lên: 14/02/2014, 17:20

... behavior of a class of nonlinear delay difference equations. J Difference Equat Appl. 8, 719–728 (2002). doi:10.1080/1023619021000000735 13. Agarwal, RP: Difference Equations and Inequalities. ... second-order system of difference equations. Discrete Dyn Nat Soc 2008, 12 (2008). (Article ID 860152) 11. Irićanin, B, Stević, S: Some systems of nonlinear difference equations of higher order ... three-dimensional linear fractional system of difference equations. J Math Anal Appl. 310, 673–689 (2005) 8. Özban, AY: On the positive solutions of the system of rational difference equations x n+1 = 1 y n−k , y n+1 = y n x n−m y n−m−k . ....

Ngày tải lên: 20/06/2014, 22:20

... in Difference Equations 2011, 2011:28 http://www.advancesindifferenceequations.com/content/2011/1/28 Page 6 of 16 RESEARCH Open Access Global behavior of the solutions of some difference equations Elmetwally ... second-order system of difference equations. Discrete Dyn Nat Soc (2008). Article ID 860152, 12 28. Yalçinkaya, I: On the global asymptotic behavior of a system of two nonlinear difference equations. ARS ... Nonlinear Anal. 15,47–57 (2008) doi:10.1186/1687-1847-2011-28 Cite this article as: Elabbasy et al.: Global behavior of the solutions of some difference equations. Advances in Difference Equations...

Ngày tải lên: 21/06/2014, 00:20

... continuous dependence of solutions of certain difference equations. Feng et al. Advances in Difference Equations 2011, 2011:21 http://www.advancesindifferenceequations.com/content/2011/1/21 Page 12 ... t)] , Feng et al. Advances in Difference Equations 2011, 2011:21 http://www.advancesindifferenceequations.com/content/2011/1/21 Page 2 of 17 9. Ma QH: Estimates on some power nonlinear Volterra-Fredholm ... following inequality Feng et al. Advances in Difference Equations 2011, 2011:21 http://www.advancesindifferenceequations.com/content/2011/1/21 Page 6 of 17 RESEARC H Open Access Some new finite difference inequalities...

Ngày tải lên: 21/06/2014, 02:20

... in Difference Equations Volume 2010, Article ID 594783, 19 pages doi:10.1155/2010/594783 Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The ... we consider a nonlinear first-order difference equation. 2 Advances in Difference Equations Unlike t he method used by Olver 4 to treat asymptotic solutions of second-order linear differential equations, ... second-order linear difference equation; its solution takes the form of a particular solution added to an arbitrary linear combination of solutions to the associated homogeneous linear difference...

Ngày tải lên: 21/06/2014, 11:20

... Article Solutions and Green’s Functions for Boundary Value Problems of Second-Order Four-Point Functional Difference Equations Yang Shujie and Shi Bao Institute of Systems Science and Mathematics, Naval Aeronautical ... functional differential equations, ” Chinese Annals of Mathematics, vol. 23A, no. 6, pp. 1–10, 2001 Chinese. 2 Y. Guo and J. Tian, “Two positive solutions for second-order quasilinear differential ... nonlinearities,” Journal of Computational and Applied Mathematics, vol. 169, no. 2, pp. 345–357, 2004. 3 J. Henderson and A. Peterson, “Boundary value problems for functional difference equations, ” Applied...

Ngày tải lên: 21/06/2014, 11:20

... Difference Equations 18 O. Do ˇ sl ´ y and S. Fi ˇ snarov ´ a, “Linearized Riccati technique and non-oscillation criteria for half -linear difference equations, ” Advances in Difference Equations, ... half -linear second order difference equations, ” Journal of Difference Equations and Applications, vol. 9, no. 1, pp. 49–61, 2003. 8 M. Cecchi, Z. Do ˇ sl ´ a, and M. Marini, “Nonoscillatory half -linear ... of solutions of half -linear difference equations, ” submitted. 10 M. Cecchi, Z. Do ˇ sl ´ a, M. Marini, and I. Vrko ˇ c, “Asymptotic properties for half -linear difference equations, ” Mathematica...

Ngày tải lên: 21/06/2014, 20:20

... Corporation Advances in Difference Equations Volume 2007, Article ID 16249, 7 pages doi:10.1155/2007/16249 Research Article Global Asymptotic Stability in a Class of Difference Equations Xiaofan Yang, Limin ... conjectures,” Journal of Difference Equations and Applications, vol. 2, no. 4, pp. 449–452, 1996. [2] T. Sun and H. Xi, “Global attractivity for a family of nonlinear difference equations, ” Applied Mathematics ... difference equations. The result obtained extends and generalizes some previous results. We are attempting to apply the technique used in this article to deal with other generic difference equations which...

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... about as efficient as any other method. For solving sets of linear equations, Gauss-Jordan elimination produces both the solution of the equations for one or more right-hand side vectors b, and ... writeout equations only for the case of four equations and four unknowns, and with three different right- hand side vectors that are known in advance. You can write bigger matrices and extend the equations ... to writing the same set of linear equations in a different order. • Likewise, the solution set is unchanged and in no way scrambled if we replace any row in A by a linear combination of itself...

Ngày tải lên: 15/12/2013, 04:15

... not used for typical systems of linear equations. However, we will meet special cases where QR is the method of choice. 100 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL ... solve linear systems. In many applications only the part (2.10.4) of the algorithm is needed, so we separate it off into its own routine rsolv. 98 Chapter 2. Solution of Linear Algebraic Equations Sample ... factorizations we have met (LU, SVD, Cholesky), QR decompo- sition can be used to solve systems of linear equations. To solve A · x = b (2.10.3) first form Q T · b and then solve R · x = Q T · b (2.10.4) by...

Ngày tải lên: 15/12/2013, 04:15