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  1. We establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional differential equations and inclusions involving the Riemann-Liouville fractional derivative...

    Authors: RaviP Agarwal, Mohammed Belmekki and Mouffak Benchohra
    Citation: Advances in Difference Equations 2009 2009:981728
  2. Switching controller design for a class of Markovian jump nonlinear systems with unmodeled dynamics is considered in this paper. Based on the differential equation and infinitesimal generator of jump systems, ...

    Authors: Jin Zhu, Junhong Park, Kwan-Soo Lee and Maksym Spiryagin
    Citation: Advances in Difference Equations 2009 2009:896218
  3. This paper investigates the existence of periodic solutions of a ratio-dependent predator-prey diffusion system with Michaelis-Menten functional responses and time delays in a two-patch environment on time sca...

    Authors: Zhenjie Liu
    Citation: Advances in Difference Equations 2009 2009:141589
  4. For positive linear Volterra difference equations in Banach lattices, the uniform asymptotic stability of the zero solution is studied in connection with the summability of the fundamental solution and the inv...

    Authors: Satoru Murakami and Yutaka Nagabuchi
    Citation: Advances in Difference Equations 2008 2008:598964
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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

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