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  1. Content type: Research Article

    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

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  2. Content type: Research Article

    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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  3. Content type: Research Article

    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

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  4. Content type: Research Article

    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

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  5. Content type: Research Article

    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

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  6. Content type: Research Article

    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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  7. Content type: Research Article

    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

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  8. Content type: Research Article

    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

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  9. Content type: Research Article

    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

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  10. Content type: Research Article

    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

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  11. Content type: Research Article

    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

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  12. Content type: Research Article

    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

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  13. Content type: Research Article

    We consider the stability problem for the difference system x n = Axn-1 + Bxn-k, where A, B are real matrixes and the delay k is a positive integer. In the case A = -I, the equa...

    Authors: Mikhail Kipnis and Darya Komissarova

    Citation: Advances in Difference Equations 2006 2006:031409

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Editors-in-Chief

agarwal_edit Ravi Agarwal, Texas A&M University, Kingsville, United States of America | 

Ravi's SpringerNature Publications

​​​​​​​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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