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  1. 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:

  2. 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

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  3. 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

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  4. 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

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  5. 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

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  6. 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

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  7. 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

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  8. 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

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  9. 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

    Content type: Research Article

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  10. Using nonnegative definite Lyapunov functionals, we prove general theorems for the boundedness of all solutions of a functional dynamic equation on time scales. We apply our obtained results to linear and nonl...

    Authors: Elvan Akin-Bohner and Youssef N Raffoul

    Citation: Advances in Difference Equations 2006 2006:079689

    Content type: Research Article

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  11. We examine the conditions of asymptotic stability of second-order linear dynamic equations on time scales. To establish asymptotic stability we prove the stability estimates by using integral representations o...

    Authors: Gro Hovhannisyan

    Citation: Advances in Difference Equations 2006 2006:018157

    Content type: Research Article

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  12. In order to enlarge the set of boundary value problems on time scales, for which we can use the lower and upper solutions technique to get existence of solutions, we extend this method to the case when the pai...

    Authors: Petr Stehlík

    Citation: Advances in Difference Equations 2006 2006:073860

    Content type: Research Article

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  13. We study the process of multiple Lebesgue integration on time scales. The relationship of the Riemann and the Lebesgue multiple integrals is investigated.

    Authors: Martin Bohner and Gusein Sh Guseinov

    Citation: Advances in Difference Equations 2006 2006:026391

    Content type: Research Article

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  14. Starting from supersymmetric quantum mechanics and related supermodels within Schrödinger theory, we review the meaning of self-similar superpotentials which exhibit the spectrum of a geometric series. We cons...

    Authors: Nicole Garbers and Andreas Ruffing

    Citation: Advances in Difference Equations 2006 2006:072768

    Content type: Research Article

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  15. We investigate the existence and uniqueness of solutions to a class of discrete hyperbolic systems with some nonlinear extreme conditions and initial data, in a real Hilbert space.

    Authors: Rodica Luca

    Citation: Advances in Difference Equations 2006 2006:089260

    Content type: Research Article

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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

Interim Editor-in-Chief

New Content ItemSong Wang, Curtin University, Australia | 

Song Wang's SpringerNature Publications