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  1. Based on symbolic dynamics, the paper provides a satisfactory and necessary condition of existence for consecutive periodic orbits of the Lorenz maps. In addition, a new algorithm with computer assistance base...

    Authors: Fulai Wang
    Citation: Advances in Difference Equations 2010 2010:985982
  2. 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
  3. 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
  4. 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
  5. We prove that every positive solution of the max-type difference equation http://static-content.springer.com/image/art%3A10.1155%2F2010%2F584890/MediaObjects/13662_2009_Article_1310_IEq1_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2010%2F584890/MediaObjects/13662_2009_Article_1310_IEq2_HTML.gif

    Authors: Ali Gelisken, Cengiz Cinar and Ibrahim Yalcinkaya
    Citation: Advances in Difference Equations 2010 2010:584890
  6. 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
  7. 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
  8. 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
  9. The fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated by Moslehian et al. In this paper, we prove th...

    Authors: JungRye Lee, Sun-Young Jang, Choonkil Park and DongYun Shin
    Citation: Advances in Difference Equations 2010 2010:412160
  10. The main goal of the paper is to investigate boundedness, invariant intervals, semicycles, and global attractivity of all nonnegative solutions of the equation http://static-content.springer.com/image/art%3A10.1155%2F2010%2F970720/MediaObjects/13662_2009_Article_1357_IEq1_HTML.gif ...

    Authors: Xiu-Mei Jia, Lin-Xia Hu and Wan-Tong Li
    Citation: Advances in Difference Equations 2010 2010:970720
  11. 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
  12. The second part of Hilbert's sixteenth problem concerned with the existence and number of the limit cycles for planer polynomial differential equations of degree n. In this article after a brief review on previou...

    Authors: G.H. Erjaee, H.R.Z. Zangeneh and N. Nyamoradi
    Citation: Advances in Difference Equations 2010 2010:938180
  13. 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
  14. This work presents sufficient conditions for the existence and uniqueness of positive solutions for a discrete fourth-order beam equation under Lidstone boundary conditions with a parameter; the iterative sequ...

    Authors: Yanbin Sang, Zhongli Wei and Wei Dong
    Citation: Advances in Difference Equations 2010 2010:971540
  15. We give a new construction of the http://static-content.springer.com/image/art%3A10.1155%2F2010%2F431436/MediaObjects/13662_2010_Article_1288_IEq2_HTML.gif -extensions of Euler numbers and polynomials. We present new generating functions which are related to...

    Authors: Taekyun Kim, Lee-Chae Jang, Young-Hee Kim and Seog-Hoon Rim
    Citation: Advances in Difference Equations 2010 2010:431436
  16. 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
  17. We investigate the effect of constant and periodic harvesting on the Beverton-Holt model in a periodically fluctuating environment. We show that in a periodically fluctuating environment, periodic harvesting g...

    Authors: Ziyad AlSharawi and Mohamed Ben Haj Rhouma
    Citation: Advances in Difference Equations 2010 2010:215875

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