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Recent Trends in Differential and Difference Equations

  1. Research Article

    Boundary Value Problems for Delay Differential Systems

    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...

    A. Boichuk, J. Diblík, D. Khusainov and M. Růžičková

    Advances in Difference Equations 2010 2010:593834

    Published on: 9 June 2010

  2. Research Article

    Robust Stabilization of Fractional-Order Systems with Interval Uncertainties via Fractional-Order Controllers

    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...

    Saleh Sayyad Delshad, MohammadMostafa Asheghan and Mohammadtaghi Hamidi Beheshti

    Advances in Difference Equations 2010 2010:984601

    Published on: 31 May 2010

  3. Research Article

    Automorphisms of Submanifolds

    The paper deals with local symmetries of the infinite-order jet space of -smooth n-dimensional submanifolds in ...

    Veronika Chrastinová and Václav Tryhuk

    Advances in Difference Equations 2010 2010:202731

    Published on: 30 May 2010

  4. Research Article

    Asymptotic Bounds for Linear Difference Systems

    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...

    Jan Čermák

    Advances in Difference Equations 2010 2010:182696

    Published on: 20 May 2010

  5. Research Article

    Oscillation of Even-Order Neutral Delay Differential Equations

    By using Riccati transformation technique, we will establish some new oscillation criteria for the even order neutral delay differential equations

    Tongxing Li, Zhenlai Han, Ping Zhao and Shurong Sun

    Advances in Difference Equations 2010 2010:184180

    Published on: 19 May 2010

  6. Review Article

    A Survey on Oscillation of Impulsive Ordinary Differential Equations

    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...

    RaviP Agarwal, Fatma Karakoç and Ağacık Zafer

    Advances in Difference Equations 2010 2010:354841

    Published on: 14 April 2010

  7. Research Article

    Oscillation of Second-Order Mixed-Nonlinear Delay Dynamic Equations

    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...

    M Ünal and A Zafer

    Advances in Difference Equations 2010 2010:389109

    Published on: 30 March 2010

  8. Research Article

    On Exact Controllability of First-Order Impulsive Differential Equations

    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...

    JuanJ Nieto and ChristopherC Tisdell

    Advances in Difference Equations 2010 2010:136504

    Published on: 8 March 2010

  9. Research Article

    Control of Oscillating Systems with a Single Delay

    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...

    J Diblík, DYa Khusainov, J Lukáčová and M Růžičková

    Advances in Difference Equations 2010 2010:108218

    Published on: 14 February 2010