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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 pages
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 pages
Asymptotic stability for dynamic equations on time scales
, Gro Hovhannisyan
Volume 2006 (2006), Article ID 18157, 17 pages
Perturbation method for linear difference equations with small parameters
, Tahia Zerizer
Volume 2006 (2006), Article ID 19214, 12 pages
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 pages
Asymptotic behavior of a competitive system of linear fractional difference equations
, M.R.S. Kulenović, M. Nurkanović
Volume 2006 (2006), Article ID 19756, 13 pages
Existence results for
φ
-Laplacian boundary value problems on time scales
, Alberto Cabada
Volume 2006 (2006), Article ID 21819, 11 pages
Extending generalized Fibonacci sequences and their Binet-type formula
, Mustapha Rachidi, Osamu Saeki
Volume 2006 (2006), Article ID 23849, 11 pages
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 pages
Multiple Lebesgue integration on time scales
, Martin Bohner, Gusein Sh. Guseinov
Volume 2006 (2006), Article ID 26391, 13 pages
On difference equation with generalized dilation
, Pavel Plaschinsky
Volume 2006 (2006), Article ID 27512, 8 pages
Global behavior of a higher-order rational difference equation
, Hongjian Xi, Taixiang Sun
Volume 2006 (2006), Article ID 27637, 7 pages
Boundary value problems for functional difference equations on infinite intervals
, Mauro Marini, Serena Matucci, Pavel Řehák
Volume 2006 (2006), Article ID 31283, 14 pages
Stability of a delay difference system
, Mikhail Kipnis, Darya Komissarova
Volume 2006 (2006), Article ID 31409, 9 pages
The formulation of second-order boundary value problems on time scales
, Fordyce A. Davidson, Bryan P. Rynne
Volume 2006 (2006), Article ID 31430, 10 pages
Boundedness and vanishing of solutions for a forced delay dynamic equation
, Douglas R. Anderson
Volume 2006 (2006), Article ID 35063, 17 pages
Periodic solutions of arbitrary length in a simple integer iteration
, Dean Clark
Volume 2006 (2006), Article ID 35847, 9 pages
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 pages
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 pages
Periodic solutions of nonlinear vector difference equations
, M.I. Gil'
Volume 2006 (2006), Article ID 39419, 8 pages
On simulations of the classical harmonic oscillator equation by difference equations
, Jan L. Cieśliński, Bogusław Ratkiewicz
Volume 2006 (2006), Article ID 40171, 17 pages
Optimization of discrete and differential inclusions of Goursat-Darboux type with state constraints
, Elimhan N. Mahmudov
Volume 2006 (2006), Article ID 41962, 16 pages
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 pages
On discrete analogues of nonlinear implicit differential equations
, Pham Ky Anh, Le Cong Loi
Volume 2006 (2006), Article ID 43092, 19 pages
On nonautonomous discrete dynamical systems driven by means
, Raghib M. Abu-Saris
Volume 2006 (2006), Article ID 43470, 7 pages
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 pages
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 pages
Difference equations on discrete polynomial hypergroups
, Ágota Orosz
Volume 2006 (2006), Article ID 51427, 10 pages
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 pages
Singular second-order multipoint dynamic boundary value problems with mixed derivatives
, Martin Bohner, Hua Luo
Volume 2006 (2006), Article ID 54989, 15 pages
Invariant foliations and stability in critical cases
, Christian Pötzsche
Volume 2006 (2006), Article ID 57043, 19 pages
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 pages
Second-order
n
-point eigenvalue problems on time scales
, Douglas R. Anderson, Ruyun Ma
Volume 2006 (2006), Article ID 59572, 17 pages
Oscillation and nonoscillation for impulsive dynamic equations on certain time scales
, Mouffak Benchohra, Samira Hamani, Johnny Henderson
Volume 2006 (2006), Article ID 60860, 12 pages
Oscillation criteria for first-order forced nonlinear difference equations
, Ravi P. Agarwal, Said R. Grace, Tim Smith
Volume 2006 (2006), Article ID 62579, 16 pages
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 pages
How the constants in Hille-Nehari theorems depend on time scales
, Pavel Řehák
Volume 2006 (2006), Article ID 64534, 15 pages
Oscillation of second-order neutral delay and mixed-type dynamic equations on time scales
, Y. Şahıner
Volume 2006 (2006), Article ID 65626, 9 pages
On third-order linear difference equations involving quasi-differences
, Zuzana Došlá, Aleš Kobza
Volume 2006 (2006), Article ID 65652, 13 pages
Oscillation of higher-order delay difference equations
, Yinggao Zhou
Volume 2006 (2006), Article ID 65789, 7 pages
Lyapunov functions for linear nonautonomous dynamical equations on time scales
, Peter E. Kloeden, Alexandra Zmorzynska
Volume 2006 (2006), Article ID 69106, 10 pages
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 pages
Convergence and periodicity of solutions for a class of difference systems
, Honghua Bin, Lihong Huang, Guang Zhang
Volume 2006 (2006), Article ID 70461, 10 pages
A remark on
k
th-order linear functional equations with constant coefficients
, Jitka Laitochová
Volume 2006 (2006), Article ID 72615, 8 pages
Using supermodels in quantum optics
, Nicole Garbers, Andreas Ruffing
Volume 2006 (2006), Article ID 72768, 14 pages
On lower and upper solutions without ordering on time scales
, Petr Stehlík
Volume 2006 (2006), Article ID 73860, 12 pages
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 pages
On linear Volterra difference equations with infinite delay
, Ch.G. Philos, I.K. Purnaras
Volume 2006 (2006), Article ID 78470, 28 pages
Boundedness in functional dynamic equations on time scales
, Elvan Akin-Bohner, Youssef N. Raffoul
Volume 2006 (2006), Article ID 79689, 18 pages
On stability zones for discrete-time periodic linear Hamiltonian systems
, Vladimir Răsvan
Volume 2006 (2006), Article ID 80757, 13 pages
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 pages
Asymptotic behavior of solutions for neutral dynamic equations on time scales
, Douglas R. Anderson
Volume 2006 (2006), Article ID 80850, 11 pages
Eigenvalue comparisons for boundary value problems of the discrete beam equation
, Jun Ji, Bo Yang
Volume 2006 (2006), Article ID 81025, 9 pages
Oscillation of a logistic difference equation with several delays
, L. Berezansky, E. Braverman
Volume 2006 (2006), Article ID 82143, 12 pages
On the Difference equation
x
n
+
1
=
a
x
n
−
b
x
n
/
(
c
x
n
−
d
x
n
−
1
)
, E.M. Elabbasy, H. El-Metwally, E.M. Elsayed
Volume 2006 (2006), Article ID 82579, 10 pages
Positive solutions of functional difference equations with
p
-Laplacian operator
, Chang-Xiu Song
Volume 2006 (2006), Article ID 82784, 9 pages
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 pages
Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem
, M. Boulbrachene, S. Saadi
Volume 2006 (2006), Article ID 85807, 10 pages
Existence for a class of discrete hyperbolic problems
, Rodica Luca
Volume 2006 (2006), Article ID 89260, 14 pages
Multiple nonnegative solutions for BVPs of fourth-order difference equations
, Jian-Ping Sun
Volume 2006 (2006), Article ID 89585, 7 pages
Multiple periodic solutions for a discrete time model of plankton allelopathy
, Jianbao Zhang, Hui Fang
Volume 2006 (2006), Article ID 90479, 14 pages
Oscillatory mixed difference systems
, José M. Ferreira, Sandra Pinelas
Volume 2006 (2006), Article ID 92923, 18 pages
Delay dynamic equations with stability
, Douglas R. Anderson, Robert J. Krueger, Allan C. Peterson
Volume 2006 (2006), Article ID 94051, 19 pages
A note on discrete maximal regularity for functional difference equations with infinite delay
, Claudio Cuevas, Claudio Vidal
Volume 2006 (2006), Article ID 97614, 11 pages