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  1. 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

    Content type: Research Article

    Published on:

  2. 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

    Content type: Research Article

    Published on:

  3. 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

    Content type: Research Article

    Published on:

  4. 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

    Content type: Research Article

    Published on:

  5. 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

    Content type: Review Article

    Published on:

  6. 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

    Content type: Research Article

    Published on:

  7. 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

    Content type: Research Article

    Published on:

  8. 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

    Content type: Research Article

    Published on:

  9. 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

    Content type: Research Article

    Published on:

  10. 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

    Content type: Research Article

    Published on:

  11. 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

    Content type: Research Article

    Published on:

  12. 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

    Content type: Research Article

    Published on:

  13. 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

    Content type: Research Article

    Published on:

  14. 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

    Content type: Research Article

    Published on:

  15. 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

    Content type: Research Article

    Published on:

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Editors-in-Chief

​​​​​​​mbnk_edit Martin Bohner, Missouri University of Science and Technology, United States of America | 

Martin's SpringerNature Publications

Elena_Braverman_image_edit Elena Braverman, University of Calgary Canada | 

Elena's SpringerNature Publications

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