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Advances in Continuous and Discrete Models

Theory and Modern Applications

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Page 96 of 98

  3. 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:

  5. 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:

  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
    Content type: Research Article Published on:

  11. 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:

  12. 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:

  14. 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:

  15. 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:

  24. 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:

  32. 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:

  34. 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:

  35. 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:

  37. 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 Published on:

  44. 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 Published on:

  47. 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 Published on:

  48. We study the global behavior of positive solutions of the system of rational difference equations xn+1 = f(yn-q, xn-s), yn+1 = g(xn-t, yn-p), n = 0,1,2,..., where p, q, s, t ∈ {0,1,2,...} with s ≥ t and p ≥ q, th...

    Authors: Taixiang Sun and Hongjian Xi
    Citation: Advances in Difference Equations 2006 2006:051520
    Content type: Research Article Published on:
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  • Citation Impact 2023
    Journal Impact Factor: 3.1
    5-year Journal Impact Factor: 2.3
    Source Normalized Impact per Paper (SNIP): 1.007
    SCImago Journal Rank (SJR): 0.504

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  • ISSN: 2731-4235 (electronic)