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Recent Trends in Differential and Difference Equations

  3. 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 ...

    Authors: Haipeng Peng, Lixiang Li, Fei Sun, Yixian Yang and Xiaowen Li
    Citation: Advances in Difference Equations 2010 2010:808403
    Content type: Research Article Published on:

  5. 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...

    Authors: A. Boichuk, J. Diblík, D. Khusainov and M. Růžičková
    Citation: Advances in Difference Equations 2010 2010:593834
    Content type: Research Article Published on:

  6. 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...

    Authors: Alexandr Boichuk, Martina Langerová and Jaroslava Škoríková
    Citation: Advances in Difference Equations 2010 2010:494379
    Content type: Research Article Published on:

  8. 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...

    Authors: Saleh Sayyad Delshad, MohammadMostafa Asheghan and Mohammadtaghi Hamidi Beheshti
    Citation: Advances in Difference Equations 2010 2010:984601
    Content type: Research Article Published on:

  10. 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...

    Authors: Alexander Domoshnitsky
    Citation: Advances in Difference Equations 2010 2010:478020
    Content type: Research Article Published on:

  11. The paper deals with local symmetries of the infinite-order jet space of http://static-content.springer.com/image/art%3A10.1155%2F2010%2F202731/MediaObjects/13662_2009_Article_1260_IEq1_HTML.gif -smooth n-dimensional submanifolds in ...

    Authors: Veronika Chrastinová and Václav Tryhuk
    Citation: Advances in Difference Equations 2010 2010:202731
    Content type: Research Article Published on:

  13. 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...

    Authors: Jan Čermák
    Citation: Advances in Difference Equations 2010 2010:182696
    Content type: Research Article Published on:

  15. 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 ...

    Authors: Yang Tang and Jian-an Fang
    Citation: Advances in Difference Equations 2010 2010:504956
    Content type: Research Article Published on:

  16. 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...

    Authors: RaviP Agarwal, Fatma Karakoç and Ağacık Zafer
    Citation: Advances in Difference Equations 2010 2010:354841
    Content type: Review Article Published on:

  25. 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...

    Authors: John A. D. Appleby
    Citation: Advances in Difference Equations 2010 2010:478291
    Content type: Research Article Published on:

  28. 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...

    Authors: J Diblík, DYa Khusainov, J Lukáčová and M Růžičková
    Citation: Advances in Difference Equations 2010 2010:108218
    Content type: Research Article Published on: