Editorial
Advances in Difference Equations 2010 2010:891697
Published on: 24 October 2010
Editorial
Advances in Difference Equations 2010 2010:891697
Published on: 24 October 2010
Research Article
Some sufficient conditions are established for the oscillation of second-order neutral differential equation , ...
Advances in Difference Equations 2010 2010:763278
Published on: 19 July 2010
Research Article
We propose a novel approach of parameter identification using the adaptive synchronized observer by introducing an auxiliary subsystem, and some sufficient conditions are given to guarantee the convergence of ...
Advances in Difference Equations 2010 2010:808403
Published on: 24 June 2010
Research Article
It is shown that the decay rates of the positive, monotone decreasing solutions approaching the zero equilibrium of higher-order nonlinear difference equations are related to the positive characteristic values...
Advances in Difference Equations 2010 2010:973432
Published on: 13 June 2010
Research Article
We consider the problem of existence and structure of solutions bounded on the entire real axis of nonhomogeneous linear impulsive differential systems. Under assumption that the corresponding homogeneous syst...
Advances in Difference Equations 2010 2010:494379
Published on: 9 June 2010
Research Article
Conditions are derived of the existence of solutions of linear Fredholm's boundary-value problems for systems of ordinary differential equations with constant coefficients and a single delay, assuming that the...
Advances in Difference Equations 2010 2010:593834
Published on: 9 June 2010
Research Article
In this paper, we investigate the singular Sturm-Liouville problem ,
Advances in Difference Equations 2010 2010:969536
Published on: 6 June 2010
Research Article
We propose a fractional-order controller to stabilize unstable fractional-order open-loop systems with interval uncertainty whereas one does not need to change the poles of the closed-loop system in the propos...
Advances in Difference Equations 2010 2010:984601
Published on: 31 May 2010
Research Article
The paper deals with local symmetries of the infinite-order jet space of -smooth n-dimensional submanifolds in ...
Advances in Difference Equations 2010 2010:202731
Published on: 30 May 2010
Research Article
The method to compare only one component of the solution vector of linear functional differential systems, which does not require heavy sign restrictions on their coefficients, is proposed in this paper. Neces...
Advances in Difference Equations 2010 2010:478020
Published on: 30 May 2010
Research Article
The asymptotic behavior of the solutions of the first-order differential equation containing delays is studied with
Advances in Difference Equations 2010 2010:749852
Published on: 30 May 2010
Research Article
This paper is concerned with the nonlinear system . We give a converse Lyapunov theorem and prove robustness of uniform exponential diss...
Advances in Difference Equations 2010 2010:726347
Published on: 23 May 2010
Research Article
This paper describes asymptotic properties of solutions of some linear difference systems. First we consider system of a general form and estimate its solutions by use of a solution of an auxiliary scalar diff...
Advances in Difference Equations 2010 2010:182696
Published on: 20 May 2010
Research Article
By using Riccati transformation technique, we will establish some new oscillation criteria for the even order neutral delay differential equations
Advances in Difference Equations 2010 2010:184180
Published on: 19 May 2010
Research Article
The synchronization problem of new discrete-time complex networks with randomly occurring coupling and distributed time-varying delay is investigated. Compared with the previous work, the distributed delay is ...
Advances in Difference Equations 2010 2010:504956
Published on: 27 April 2010
Review Article
This paper summarizes a series of results on the oscillation of impulsive ordinary differential equations. We consider linear, half-linear, super-half-linear, and nonlinear equations. Several oscillation crite...
Advances in Difference Equations 2010 2010:354841
Published on: 14 April 2010
Research Article
A linear second-order discrete-delayed equation with a positive coefficient
Advances in Difference Equations 2010 2010:693867
Published on: 7 April 2010
Research Article
We investigate the singular differential equation on the half-line [
Advances in Difference Equations 2010 2010:872160
Published on: 7 April 2010
Research Article
It is found that every solution of a system of linear delay difference equations has finite limit at infinity, if some conditions are satisfied. These are much weaker than the known sufficient conditions for a...
Advances in Difference Equations 2010 2010:789302
Published on: 6 April 2010
Research Article
The paper discusses the existence of positive solutions, dead-core solutions, and pseudo-dead-core solutions of the singular problem ,
Advances in Difference Equations 2010 2010:262854
Published on: 30 March 2010
Research Article
New oscillation criteria are established for second-order mixed-nonlinear delay dynamic equations on time scales by utilizing an interval averaging technique. No restriction is imposed on the coefficient funct...
Advances in Difference Equations 2010 2010:389109
Published on: 30 March 2010
Research Article
By means of the averaging technique and the generalized Riccati transformation technique, we establish some oscillation criteria for the second-order quasilinear neutral delay dynamic equations
Advances in Difference Equations 2010 2010:450264
Published on: 22 March 2010
Research Article
The paper provides conditions sufficient for the existence of strictly increasing solutions of the second-order nonautonomous difference equation
Advances in Difference Equations 2010 2010:714891
Published on: 16 March 2010
Research Article
The existence and uniqueness of solutions and asymptotic estimate of solution formulas are studied for the following initial value problem:
Advances in Difference Equations 2010 2010:810453
Published on: 16 March 2010
Research Article
We consider the rate of convergence to equilibrium of Volterra integrodifferential equations with infinite memory. We show that if the kernel of Volterra operator is regularly varying at infinity, and the init...
Advances in Difference Equations 2010 2010:478291
Published on: 15 March 2010
Research Article
By means of Riccati transformation technique, we establish some new oscillation criteria for the second-order Emden-Fowler delay dynamic equations
Advances in Difference Equations 2010 2010:642356
Published on: 8 March 2010
Research Article
Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process. The mathematical description of these phenomena leads to impulsive differenti...
Advances in Difference Equations 2010 2010:136504
Published on: 8 March 2010
Research Article
Systems are considered related to the control of processes described by oscillating second-order systems of differential equations with a single delay. An explicit representation of solutions with the aid of s...
Advances in Difference Equations 2010 2010:108218
Published on: 14 February 2010
Research Article
We will establish some oscillation criteria for the third-order Emden-Fowler neutral delay dynamic equations on a time scale
Advances in Difference Equations 2010 2010:586312
Published on: 2 February 2010
Research Article
The existence and uniqueness of solutions and a representation of solution formulas are studied for the following initial value problem:
Advances in Difference Equations 2009 2010:143298
Published on: 17 November 2009