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  1. Our aim in this paper is to investigate some new integral inequalities on time scales, which provide explicit bounds on unknown functions. Our results unify and extend some integral inequalities and their corr...

    Authors: Wei Nian Li
    Citation: Advances in Difference Equations 2009 2009:484185
  2. Properties of http://static-content.springer.com/image/art%3A10.1155%2F2009%2F956910/MediaObjects/13662_2009_Article_1234_IEq2_HTML.gif -extensions of Euler numbers and polynomials which generalize those satisfied by http://static-content.springer.com/image/art%3A10.1155%2F2009%2F956910/MediaObjects/13662_2009_Article_1234_IEq3_HTML.gif ...

    Authors: Taekyun Kim, Kyung-Won Hwang and Byungje Lee
    Citation: Advances in Difference Equations 2009 2009:956910
  3. By using the Leggett-Williams fixed point theorem, the existence of three positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales w...

    Authors: Da-Bin Wang and Wen Guan
    Citation: Advances in Difference Equations 2009 2009:830247
  4. We study discrete almost automorphic functions (sequences) defined on the set of integers with values in a Banach space http://static-content.springer.com/image/art%3A10.1155%2F2009%2F591380/MediaObjects/13662_2009_Article_1206_IEq1_HTML.gif . Given a bounded linear...

    Authors: Daniela Araya, Rodrigo Castro and Carlos Lizama
    Citation: Advances in Difference Equations 2009 2009:591380
  5. Planar linear discrete systems with constant coefficients and weak delay are considered. The characteristic equations of such systems are identical with those for the same systems but without delayed terms. In...

    Authors: J. Diblík, D. Ya. Khusainov and Z. Šmarda
    Citation: Advances in Difference Equations 2009 2009:784935
  6. This paper considers a new class of additive neural networks where the neuron activations are modelled by discontinuous functions with nonlinear growth. By Leray-Schauder alternative theorem in differential in...

    Authors: Yingwei Li and Huaiqin Wu
    Citation: Advances in Difference Equations 2009 2009:798685
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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

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