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Recent Trends in Differential and Difference Equations

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  1. Content type: 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 ...

    Authors: Haipeng Peng, Lixiang Li, Fei Sun, Yixian Yang and Xiaowen Li

    Citation: Advances in Difference Equations 2010 2010:808403

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  2. Content type: 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...

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

    Citation: Advances in Difference Equations 2010 2010:593834

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  3. Content type: 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...

    Authors: Alexandr Boichuk, Martina Langerová and Jaroslava Škoríková

    Citation: Advances in Difference Equations 2010 2010:494379

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  4. Content type: 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...

    Authors: Saleh Sayyad Delshad, MohammadMostafa Asheghan and Mohammadtaghi Hamidi Beheshti

    Citation: Advances in Difference Equations 2010 2010:984601

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  5. Content type: 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...

    Authors: Alexander Domoshnitsky

    Citation: Advances in Difference Equations 2010 2010:478020

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  6. Content type: Research Article

    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

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  7. Content type: 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...

    Authors: Jan Čermák

    Citation: Advances in Difference Equations 2010 2010:182696

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  8. Content type: 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 ...

    Authors: Yang Tang and Jian-an Fang

    Citation: Advances in Difference Equations 2010 2010:504956

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  9. Content type: 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...

    Authors: RaviP Agarwal, Fatma Karakoç and Ağacık Zafer

    Citation: Advances in Difference Equations 2010 2010:354841

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  10. Content type: 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...

    Authors: John A. D. Appleby

    Citation: Advances in Difference Equations 2010 2010:478291

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