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  1. Linear neutral, and especially non-neutral, Volterra difference equations with infinite delay are considered and some new results on the behavior of solutions are established. The results are obtained by the u...

    Authors: Ch G Philos and IK Purnaras

    Citation: Advances in Difference Equations 2006 2006:078470

    Content type: Research Article

    Published on:

  2. We first give conditions which guarantee that every solution of a first order linear delay dynamic equation for isolated time scales vanishes at infinity. Several interesting examples are given. In the last ha...

    Authors: Douglas R Anderson, Robert J Krueger and Allan C Peterson

    Citation: Advances in Difference Equations 2006 2006:094051

    Content type: Research Article

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  3. Nonoscillatory solutions of a nonlinear neutral type higher order difference equations are classified by means of their asymptotic behaviors. By means of the Kranoselskii's fixed point theorem, existence crite...

    Authors: Zhi-qiang Zhu, Gen-qiang Wang and Sui Sun Cheng

    Citation: Advances in Difference Equations 2006 2006:047654

    Content type: Research Article

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  4. This paper deals with some classes of nonlinear implicit difference equations obtained via discretization of nonlinear differential-algebraic or partial differential-algebraic equations. The unique solvability...

    Authors: Pham Ky Anh and Le Cong Loi

    Citation: Advances in Difference Equations 2006 2006:043092

    Content type: Research Article

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  5. The classical theory of homogeneous and inhomogeneous linear difference equations with constant coefficients on the set of integers or nonnegative integers provides effective solution methods for a wide class ...

    Authors: Ágota Orosz

    Citation: Advances in Difference Equations 2006 2006:051427

    Content type: Research Article

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  6. A method for determination and two methods for approximation of the domain of attraction D a (0) of the asymptotically stable zero steady state of an autonomous, ℝ-analytical, di...

    Authors: St Balint, E Kaslik, AM Balint and A Grigis

    Citation: Advances in Difference Equations 2006 2006:023939

    Content type: Research Article

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  7. We investigate the functional equation with generalized dilation in the special weighted functional spaces. We provide some sufficient conditions for the existence of the inversion operator in the same form an...

    Authors: Pavel Plaschinsky

    Citation: Advances in Difference Equations 2006 2006:027512

    Content type: Research Article

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  8. This paper deals with monotone finite difference iterative algorithms for solving nonlinear singularly perturbed reaction-diffusion problems of elliptic and parabolic types. Monotone domain decomposition algor...

    Authors: Igor Boglaev and Matthew Hardy

    Citation: Advances in Difference Equations 2006 2006:070325

    Content type: Research Article

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  9. The study of the stability properties of numerical methods leads to considering linear difference equations depending on a complex parameter q. Essentially, the associated characteristic polynomial must have cons...

    Authors: L Aceto, R Pandolfi and D Trigiante

    Citation: Advances in Difference Equations 2006 2006:019276

    Content type: Research Article

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  10. We prove that if there exists αβ, a pair of lower and upper solutions of the first-order discrete periodic problem Δu(n) = f(n,u(n));nI N ≡ {0,...,N-1},u(0) = u(N), with f

    Authors: Alberto Cabada, Victoria Otero-Espinar and Dolores Rodríguez-Vivero

    Citation: Advances in Difference Equations 2005 2005:865865

    Content type: Research Article

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  11. We investigate the asymptotic behavior of the recursive difference equation yn+1 = (α+βy n )/(1+yn-1) when the parameters α < 0 and β ∈ ℝ. In particular, we establish the bounded...

    Authors: Mohamed Ben Rhouma, M A El-Sayed and Azza K Khalifa

    Citation: Advances in Difference Equations 2005 2005:415435

    Content type: Research Article

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  12. We develop thermodynamic models for discrete-time large-scale dynamical systems. Specifically, using compartmental dynamical system theory, we develop energy flow models possessing energy conservation, energy ...

    Authors: Wassim M Haddad, Qing Hui, Sergey G Nersesov and Vijaysekhar Chellaboina

    Citation: Advances in Difference Equations 2005 2005:248040

    Content type: Research Article

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  13. Based on the fixed-point index theory for a Banach space, positive periodic solutions are found for a system of delay difference equations. By using such results, the existence of nontrivial periodic solutions...

    Authors: Guang Zhang, Shugui Kang and Sui Sun Cheng

    Citation: Advances in Difference Equations 2005 2005:218982

    Content type: Research Article

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  14. We investigate the exponential stability of the zero solution to a system of dynamic equations on time scales. We do this by defining appropriate Lyapunov-type functions and then formulate certain inequalities...

    Authors: Allan C Peterson and Youssef N Raffoul

    Citation: Advances in Difference Equations 2005 2005:858671

    Content type: Research Article

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  15. We establish conditions for the existence of periodic solutions of nonlinear, second-order difference equations of the form y(t + 2) + by (t + 1) + cy(t) = f (y(t)), where f: ℝ → ℝ and β > 0 is continuous. In our...

    Authors: Jesús Rodriguez and Debra Lynn Etheridge

    Citation: Advances in Difference Equations 2005 2005:718682

    Content type: Research Article

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  16. Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, w...

    Authors: Mariella Cecchi, Zuzana Došlá and Mauro Marini

    Citation: Advances in Difference Equations 2005 2005:676580

    Content type: Research Article

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  17. We address finding solutions y ∈ ʗ2 (ℝ+) of the special (linear) ordinary differential equation xy''(x) + (ax2 + b) y' (x) + (cx + d)y(x) = 0 for all x ∈ ℝ+, where a, b, c, d ∈ ℝ are constant parameters. This wil...

    Authors: Moritz Simon and Andreas Ruffing

    Citation: Advances in Difference Equations 2005 2005:517967

    Content type: Research Article

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  18. We present existence results for discontinuous first- and continuous second-order dynamic equations on a time scale subject to fixed-time impulses and nonlinear boundary conditions.

    Authors: F M Atici and D C Biles

    Citation: Advances in Difference Equations 2005 2005:193525

    Content type: Research Article

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  19. Our aim in this paper is to investigate the boundedness, global asymptotic stability, and periodic character of solutions of the difference equation xn+1 = (γxn-1 + δxn-2)/(x n ...

    Authors: E Camouzis, R DeVault and G Papaschinopoulos

    Citation: Advances in Difference Equations 2005 2005:548479

    Content type: Research Article

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  20. Infinite-dimensional difference operators are studied. Under the assumption that the coefficients of the operator have limits at infinity, limiting operators and associated polynomials are introduced. Under so...

    Authors: N C Apreutesei and V A Volpert

    Citation: Advances in Difference Equations 2005 2005:514375

    Content type: Research Article

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  21. We extend the results concerning periodic boundary value problems from the continuous calculus to time scales. First we use the Schauder fixed point theorem and the concept of lower and upper solutions to prov...

    Authors: Petr Stehlík

    Citation: Advances in Difference Equations 2005 2005:141356

    Content type: Research Article

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  22. Let α(t) be the limiting ratio of the generalized Fibonacci numbers produced by summing along lines of slope t through the natural arrayal of Pascal's triangle. We prove that ...

    Authors: Donniell E Fishkind

    Citation: Advances in Difference Equations 2004 2004:876467

    Content type: Research Article

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  23. We study the existence and global stability of positive periodic solutions of a periodic discrete predator-prey system with delay and Holling type III functional response. By using the continuation theorem of ...

    Authors: Lin-Lin Wang, Wan-Tong Li and Pei-Hao Zhao

    Citation: Advances in Difference Equations 2004 2004:739439

    Content type: Research Article

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  24. This paper presents a well-posedness result for an initial-boundary value problem with only integral conditions over the spatial domain for a one-dimensional quasilinear wave equation. The solution and some of...

    Authors: Abdelfatah Bouziani and Nabil Merazga

    Citation: Advances in Difference Equations 2004 2004:932415

    Content type: Research Article

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  25. We propose two models for the description of the dynamics of an AIDS epidemic and of the effect of a combined-drugs AIDS treatment based on difference equations. We show that our interacting population model, ...

    Authors: K M Tamizhmani, A Ramani, B Grammaticos and A S Carstea

    Citation: Advances in Difference Equations 2004 2004:852092

    Content type: Research Article

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  26. Nonnegative and compartmental dynamical system models are widespread in biological, physiological, and pharmacological sciences. Since the state variables of these systems are typically masses or concentration...

    Authors: Vijay Sekhar Chellaboina, Wassim M Haddad, James M Bailey and Jayanthy Ramakrishnan

    Citation: Advances in Difference Equations 2004 2004:532048

    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