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  1. We study the existence, multiplicity, and nonexistence of positive solutions for multiparameter semipositone discrete boundary value problems by using nonsmooth critical point theory and subsuper solutions met...

    Authors: Jianshe Yu, Benshi Zhu and Zhiming Guo
    Citation: Advances in Difference Equations 2008 2008:840458
  2. This paper is devoted to using perturbation and variational techniques to derive some sufficient conditions for the existence of multiple positive solutions in the sense of distributions to a singular second-o...

    Authors: Ravi P. Agarwal, Victoria Otero-Espinar, Kanishka Perera and Dolores R. Vivero
    Citation: Advances in Difference Equations 2008 2008:796851
  3. At the price of sacrificing all suspense, we can already announce that the answer to the question of the title is "no." It is indeed our belief that one may find counterexamples to all integrability conjectures,

    Authors: B. Grammaticos, A. Ramani, K. M. Tamizhmani, T. Tamizhmani and A. S. Carstea
    Citation: Advances in Difference Equations 2008 2008:317520
  4. Nonnegative and compartmental dynamical system models are derived from mass and energy balance considerations that involve dynamic states whose values are nonnegative. These models are widespread in engineerin...

    Authors: Wassim M. Haddad, VijaySekhar Chellaboina, Qing Hui and Tomohisa Hayakawa
    Citation: Advances in Difference Equations 2008 2008:868425
  5. The aim of this paper is to study the superstability related to the d'Alembert, the Wilson, the sine functional equations for the trigonometric functional equations as follows: ...

    Authors: Gwang Hui Kim
    Citation: Advances in Difference Equations 2008 2007:090405
  6. We investigate the global stability character of the equilibrium points and the period-two solutions of http://static-content.springer.com/image/art%3A10.1155%2F2007%2F41541/MediaObjects/13662_2007_Article_1116_IEq2_HTML.gif ...

    Authors: A. Brett and M. R. S. Kulenović
    Citation: Advances in Difference Equations 2008 2007:041541
  7. We study a discrete delay Mosquito population equation. Firstly, we study the stability of the equilibria of the system and the existence of period-two bifurcation by analyzing the characteristic equation. Second...

    Authors: Xiaohua Ding and Rongyan Zhang
    Citation: Advances in Difference Equations 2008 2008:876936
  8. We investigate the periodic nature of solutions of a "max-type" difference equation sometimes referred to as the "Lyness max" equation. The equation we consider is http://static-content.springer.com/image/art%3A10.1155%2F2008%2F651747/MediaObjects/13662_2007_Article_1144_IEq1_HTML.gif ...

    Authors: Ali Gelisken, Cengiz Cinar and Ramazan Karatas
    Citation: Advances in Difference Equations 2007 2008:651747
  9. We investigate the stability of nonlinear nonautonomous discrete-time systems with delaying arguments, whose linear part has slowly varying coefficients, and the nonlinear part has linear majorants. Based on t...

    Authors: Rigoberto Medina
    Citation: Advances in Difference Equations 2007 2008:396504
  10. We characterize the h-stability in variation and asymptotic equilibrium in variation for nonlinear difference systems via n-summable similarity and comparison principle. Furthermore we study the asymptotic equiv...

    Authors: Sung Kyu Choi, Yoon Hoe Goo and Namjip Koo
    Citation: Advances in Difference Equations 2007 2007:035378
  11. Impulsive bidirectional associative memory neural network model with time-varying delays and reaction-diffusion terms is considered. Several sufficient conditions ensuring the existence, uniqueness, and global...

    Authors: Qiankun Song and Jinde Cao
    Citation: Advances in Difference Equations 2007 2007:078160
  12. Stochastic difference second-kind Volterra equation with continuous time and small nonlinearity is considered. Via the general method of Lyapunov functionals construction, sufficient conditions for uniform mea...

    Authors: Beatrice Paternoster and Leonid Shaikhet
    Citation: Advances in Difference Equations 2007 2007:065012
  13. The numerical solution of partial differential equations with finite differences mimetic methods that satisfy properties of the continuum differential operators and mimic discrete versions of appropriate integ...

    Authors: J. M. Guevara-Jordan, S. Rojas, M. Freites-Villegas and J. E. Castillo
    Citation: Advances in Difference Equations 2007 2007:012303
  14. We give an asymptotic expansion of the solutions of higher-order Poincaré difference equation in terms of the characteristic solutions of the limiting equation. As a consequence, we obtain an asymptotic descri...

    Authors: Ravi P. Agarwal and Mihály Pituk
    Citation: Advances in Difference Equations 2007 2007:067492

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