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  1. This paper is concerned with the initial value problem to a nonlinear fractional difference equation with the Caputo like difference operator. By means of some fixed point theorems, global and local existence ...

    Authors: Fulai Chen, Xiannan Luo and Yong Zhou
    Citation: Advances in Difference Equations 2010 2011:713201
  2. The mean square BIBO stability is investigated for stochastic control systems with mixed delays and nonlinear perturbations. The system with mixed delays is transformed, then a class of suitable Lyapunov funct...

    Authors: Xia Zhou and Shouming Zhong
    Citation: Advances in Difference Equations 2010 2010:494607
  3. The paper is devoted to the study of an approximation process of time optimal control for fractional evolution systems in Banach spaces. We firstly convert time optimal control problem into Meyer problem. By v...

    Authors: JinRong Wang and Yong Zhou
    Citation: Advances in Difference Equations 2010 2011:385324
  4. This paper discusses a generalized time-varying SEIR propagation disease model subject to delays which potentially involves mixed regular and impulsive vaccination rules. The model takes also into account the ...

    Authors: M. De la Sen, Ravi P. Agarwal, A. Ibeas and S. Alonso-Quesada
    Citation: Advances in Difference Equations 2010 2010:281612
  5. The authors employs a hybrid fixed point theorem involving the multiplication of two operators for proving an existence result of locally attractive solutions of a nonlinear quadratic Volterra integral equatio...

    Authors: MohamedI Abbas
    Citation: Advances in Difference Equations 2010 2010:127093
  6. An easy proof of the John-Nirenberg inequality is provided by merely using the Calderón-Zygmund decomposition. Moreover, an interpolation inequality is presented with the help of the John-Nirenberg inequality.

    Authors: Jiu-Gang Dong and Ti-Jun Xiao
    Citation: Advances in Difference Equations 2010 2011:913403
  7. A discrete equivalent and not analogue of the well-known logistic differential equation is proposed. This discrete equivalent logistic equation is of the Volterra convolution type, is obtained by use of a func...

    Authors: EugeniaN Petropoulou
    Citation: Advances in Difference Equations 2010 2010:457073
  8. Of concern is the existence of solutions to nonlocal impulsive Cauchy problems for evolution equations. Combining the techniques of operator semigroups, approximate solutions, noncompact measures and the fixed...

    Authors: Jin Liang and Zhenbin Fan
    Citation: Advances in Difference Equations 2010 2011:784161
  9. The initial-boundary value problem for a class of linear and nonlinear equations in Hilbert space is considers. We prove the existence and uniqueness of solution of this problem. The results of this investigat...

    Authors: Akbar B. Aliev and Ulviya M. Mamedova
    Citation: Advances in Difference Equations 2010 2010:101959
  10. The classical Nambu mechanics is generalized to involve fractional derivatives using two different methods. The first method is based on the definition of fractional exterior derivative and the second one is b...

    Authors: Ali Khalili Golmankhaneh, AlirezaKhalili Golmankhaneh, Dumitru Baleanu and MihaelaCristina Baleanu
    Citation: Advances in Difference Equations 2010 2011:526472
  11. Our goal is to investigate the existence of the positive solutions, the existence of a nonnegative equilibrium, and the convergence of a positive solution to a nonnegative equilibrium of the fuzzy difference e...

    Authors: G Stefanidou, G Papaschinopoulos and CJ Schinas
    Citation: Advances in Difference Equations 2010 2010:196920
  12. We consider a delayed Holling type II predator-prey system with birth pulse and impulsive harvesting on predator population at different moments. Firstly, we prove that all solutions of the investigated system...

    Authors: Jianjun Jiao and Lansun Chen
    Citation: Advances in Difference Equations 2010 2010:954684
  13. A discrete predator-prey system with time delay and feedback controls is studied. Sufficient conditions which guarantee the predator and the prey to be permanent are obtained. Moreover, under some suitable con...

    Authors: Qiuying Li, Hanwu Liu and Fengqin Zhang
    Citation: Advances in Difference Equations 2010 2010:738306
  14. This is an extension of the work done by Currie and Love (2010) where we studied the effect of applying two Crum-type transformations to a weighted second-order difference equation with non-eigenparameter-depe...

    Authors: Sonja Currie and Anne D. Love
    Citation: Advances in Difference Equations 2010 2010:623508
  15. The global existence of solution to a viscous coupled Camassa-Holm equation with the periodic boundary condition is investigated. We obtain the compact and bounded absorbing set and the existence of the global...

    Authors: Lixin Tian and Ying Xu
    Citation: Advances in Difference Equations 2010 2010:512812
  16. By applying the Banach fixed point theorem and using an inequality technique, we investigate a kind of random impulsive integrodifferential equations of neutral type. Some sufficient conditions, which can guar...

    Authors: Huabin Chen, Xiaozhi Zhang and Yang Zhao
    Citation: Advances in Difference Equations 2010 2010:540365
  17. By virtue of the Avery-Henderson fixed point theorem and the five functionals fixed point theorem, we analytically establish several sufficient criteria for the existence of at least two or three positive solu...

    Authors: Wenyong Zhong and Wei Lin
    Citation: Advances in Difference Equations 2010 2010:746106
  18. We consider a general weighted second-order difference equation. Two transformations are studied which transform the given equation into another weighted second order difference equation of the same type, thes...

    Authors: Sonja Currie and Anne D. Love
    Citation: Advances in Difference Equations 2010 2010:947058
  19. For dynamic equations on time scales with positive variable coefficients and several delays, we prove that nonoscillation is equivalent to the existence of a positive solution for the generalized characteristi...

    Authors: Elena Braverman and Başak Karpuz
    Citation: Advances in Difference Equations 2010 2010:873459

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