Volume 2006 [64 articles]

• Difference schemes for nonlinear BVPs using Runge-Kutta IVP-solvers, I.P. Gavrilyuk, M. Hermann, M.V. Kutniv, V.L. Makarov
  Volume 2006 (2006), Article ID 12167, 29 p.
• On the system of rational difference equations $x_{n+1}=f(x_n,y_{n-k})$, $y_{n+1}=f(y_n,x_{n-k})$, Taixiang Sun, Hongjian Xi, Liang Hong
  Volume 2006 (2006), Article ID 16949, 7 p.
• Asymptotic stability for dynamic equations on time scales, Gro Hovhannisyan
  Volume 2006 (2006), Article ID 18157, 17 p.
• Perturbation method for linear difference equations with small parameters, Tahia Zerizer
  Volume 2006 (2006), Article ID 19214, 12 p.
• One parameter family of linear difference equations and the stability problem for the numerical solution of ODEs, L. Aceto, R. Pandolfi, D. Trigiante
  Volume 2006 (2006), Article ID 19276, 14 p.
• Asymptotic behavior of a competitive system of linear fractional difference equations, M.R.S. Kulenović, M. Nurkanović
  Volume 2006 (2006), Article ID 19756, 13 p.
• Existence results for $φ$-Laplacian boundary value problems on time scales, Alberto Cabada
  Volume 2006 (2006), Article ID 21819, 11 p.
• Extending generalized Fibonacci sequences and their Binet-type formula, Mustapha Rachidi, Osamu Saeki
  Volume 2006 (2006), Article ID 23849, 11 p.
• Methods for determination and approximation of the domain of attraction in the case of autonomous discrete dynamical systems, St. Balint, E. Kaslik, A.M. Balint, A. Grigis
  Volume 2006 (2006), Article ID 23939, 15 p.
• Multiple Lebesgue integration on time scales, Martin Bohner, Gusein Sh. Guseinov
  Volume 2006 (2006), Article ID 26391, 13 p.
• On difference equation with generalized dilation, Pavel Plaschinsky
  Volume 2006 (2006), Article ID 27512, 8 p.
• Global behavior of a higher-order rational difference equation, Hongjian Xi, Taixiang Sun
  Volume 2006 (2006), Article ID 27637, 7 p.
• Boundary value problems for functional difference equations on infinite intervals, Mauro Marini, Serena Matucci, Pavel Řehák
  Volume 2006 (2006), Article ID 31283, 14 p.
• Stability of a delay difference system, Mikhail Kipnis, Darya Komissarova
  Volume 2006 (2006), Article ID 31409, 9 p.
• The formulation of second-order boundary value problems on time scales, Fordyce A. Davidson, Bryan P. Rynne
  Volume 2006 (2006), Article ID 31430, 10 p.
• Boundedness and vanishing of solutions for a forced delay dynamic equation, Douglas R. Anderson
  Volume 2006 (2006), Article ID 35063, 17 p.
• Periodic solutions of arbitrary length in a simple integer iteration, Dean Clark
  Volume 2006 (2006), Article ID 35847, 9 p.
• On the identity of two $q$-discrete Painlevé equations and their geometrical derivation, B. Grammaticos, A. Ramani, T. Takenawa
  Volume 2006 (2006), Article ID 36397, 11 p.
• Basic properties of Sobolev's spaces on time scales, Ravi P. Agarwal, Victoria Otero-Espinar, Kanishka Perera, Dolores R. Vivero
  Volume 2006 (2006), Article ID 38121, 14 p.
• Periodic solutions of nonlinear vector difference equations, M.I. Gil'
  Volume 2006 (2006), Article ID 39419, 8 p.
• On simulations of the classical harmonic oscillator equation by difference equations, Jan L. Cieśliński, Bogusław Ratkiewicz
  Volume 2006 (2006), Article ID 40171, 17 p.
• Optimization of discrete and differential inclusions of Goursat-Darboux type with state constraints, Elimhan N. Mahmudov
  Volume 2006 (2006), Article ID 41962, 16 p.
• Existence and nonexistence of positive solutions to a right-focal boundary value problem on time scales, Ilkay Yaslan Karaca
  Volume 2006 (2006), Article ID 43039, 13 p.
• On discrete analogues of nonlinear implicit differential equations, Pham Ky Anh, Le Cong Loi
  Volume 2006 (2006), Article ID 43092, 19 p.
• On nonautonomous discrete dynamical systems driven by means, Raghib M. Abu-Saris
  Volume 2006 (2006), Article ID 43470, 7 p.
• A classification scheme for nonoscillatory solutions of a higher order neutral difference equation, Zhi-Qiang Zhu, Gen-Qiang Wang, Sui Sun Cheng
  Volume 2006 (2006), Article ID 47654, 19 p.
• Hille-Kneser-type criteria for second-order dynamic equations on time scales, L. Erbe, A. Peterson, S.H. Saker
  Volume 2006 (2006), Article ID 51401, 18 p.
• Difference equations on discrete polynomial hypergroups, Ágota Orosz
  Volume 2006 (2006), Article ID 51427, 10 p.
• On the system of rational difference equations $x_{n+1}=f(y_{n - q},x_{n - s})$, $y_{n+1}=g(x_{n - t},y_{n - p})$, Taixiang Sun, Hongjian Xi
  Volume 2006 (2006), Article ID 51520, 8 p.
• Singular second-order multipoint dynamic boundary value problems with mixed derivatives, Martin Bohner, Hua Luo
  Volume 2006 (2006), Article ID 54989, 15 p.
• Invariant foliations and stability in critical cases, Christian Pötzsche
  Volume 2006 (2006), Article ID 57043, 19 p.
• Exponential dichotomy of difference equations in $l_{p}$-phase spaces on the half-line, Nguyen Thieu Huy, Vu Thi Ngoc Ha
  Volume 2006 (2006), Article ID 58453, 14 p.
• Second-order $n$-point eigenvalue problems on time scales, Douglas R. Anderson, Ruyun Ma
  Volume 2006 (2006), Article ID 59572, 17 p.
• Oscillation and nonoscillation for impulsive dynamic equations on certain time scales, Mouffak Benchohra, Samira Hamani, Johnny Henderson
  Volume 2006 (2006), Article ID 60860, 12 p.
• Oscillation criteria for first-order forced nonlinear difference equations, Ravi P. Agarwal, Said R. Grace, Tim Smith
  Volume 2006 (2006), Article ID 62579, 16 p.
• An existence result for a multipoint boundary value problem on a time scale, Basant Karna, Bonita A. Lawrence
  Volume 2006 (2006), Article ID 63208, 8 p.
• How the constants in Hille-Nehari theorems depend on time scales, Pavel Řehák
  Volume 2006 (2006), Article ID 64534, 15 p.
• Oscillation of second-order neutral delay and mixed-type dynamic equations on time scales, Y. Şahıner
  Volume 2006 (2006), Article ID 65626, 9 p.
• On third-order linear difference equations involving quasi-differences, Zuzana Došlá, Aleš Kobza
  Volume 2006 (2006), Article ID 65652, 13 p.
• Oscillation of higher-order delay difference equations, Yinggao Zhou
  Volume 2006 (2006), Article ID 65789, 7 p.
• Lyapunov functions for linear nonautonomous dynamical equations on time scales, Peter E. Kloeden, Alexandra Zmorzynska
  Volume 2006 (2006), Article ID 69106, 10 p.
• Monotone finite difference domain decomposition algorithms and applications to nonlinear singularly perturbed reaction-diffusion problems, Igor Boglaev, Matthew Hardy
  Volume 2006 (2006), Article ID 70325, 38 p.
• Convergence and periodicity of solutions for a class of difference systems, Honghua Bin, Lihong Huang, Guang Zhang
  Volume 2006 (2006), Article ID 70461, 10 p.
• A remark on $k$th-order linear functional equations with constant coefficients, Jitka Laitochová
  Volume 2006 (2006), Article ID 72615, 8 p.
• Using supermodels in quantum optics, Nicole Garbers, Andreas Ruffing
  Volume 2006 (2006), Article ID 72768, 14 p.
• On lower and upper solutions without ordering on time scales, Petr Stehlík
  Volume 2006 (2006), Article ID 73860, 12 p.
• Reliability of difference analogues to preserve stability properties of stochastic Volterra integro-differential equations, Leonid E. Shaikhet, Jason A. Roberts
  Volume 2006 (2006), Article ID 73897, 22 p.
• On linear Volterra difference equations with infinite delay, Ch.G. Philos, I.K. Purnaras
  Volume 2006 (2006), Article ID 78470, 28 p.
• Boundedness in functional dynamic equations on time scales, Elvan Akin-Bohner, Youssef N. Raffoul
  Volume 2006 (2006), Article ID 79689, 18 p.
• On stability zones for discrete-time periodic linear Hamiltonian systems, Vladimir Răsvan
  Volume 2006 (2006), Article ID 80757, 13 p.
• Representation of solutions of linear discrete systems with constant coefficients and pure delay, J. Diblík, D.Ya. Khusainov
  Volume 2006 (2006), Article ID 80825, 13 p.
• Asymptotic behavior of solutions for neutral dynamic equations on time scales, Douglas R. Anderson
  Volume 2006 (2006), Article ID 80850, 11 p.
• Eigenvalue comparisons for boundary value problems of the discrete beam equation, Jun Ji, Bo Yang
  Volume 2006 (2006), Article ID 81025, 9 p.
• Oscillation of a logistic difference equation with several delays, L. Berezansky, E. Braverman
  Volume 2006 (2006), Article ID 82143, 12 p.
• On the difference equation $x_{n+1}=ax_n-bx_n/(cx_n-dx_{n-1})$, E.M. Elabbasy, H. El-Metwally, E.M. Elsayed
  Volume 2006 (2006), Article ID 82579, 10 p.
• Positive solutions of functional difference equations with $p$-Laplacian operator, Chang-Xiu Song
  Volume 2006 (2006), Article ID 82784, 9 p.
• Editorial: Dynamic equations and applications. Special issue dedicated to Professor Gusein Guseinov on the occasion of his 55th birthday, Martin Bohner, Allan Peterson
  Volume 2006 (2006), Article ID 83968, 1 p.
• Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem, M. Boulbrachene, S. Saadi
  Volume 2006 (2006), Article ID 85807, 10 p.
• Existence for a class of discrete hyperbolic problems, Rodica Luca
  Volume 2006 (2006), Article ID 89260, 14 p.
• Multiple nonnegative solutions for BVPs of fourth-order difference equations, Jian-Ping Sun
  Volume 2006 (2006), Article ID 89585, 7 p.
• Multiple periodic solutions for a discrete time model of plankton allelopathy, Jianbao Zhang, Hui Fang
  Volume 2006 (2006), Article ID 90479, 14 p.
• Oscillatory mixed difference systems, José M. Ferreira, Sandra Pinelas
  Volume 2006 (2006), Article ID 92923, 18 p.
• Delay dynamic equations with stability, Douglas R. Anderson, Robert J. Krueger, Allan C. Peterson
  Volume 2006 (2006), Article ID 94051, 19 p.
• A note on discrete maximal regularity for functional difference equations with infinite delay, Claudio Cuevas, Claudio Vidal
  Volume 2006 (2006), Article ID 97614, 11 p.