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  1. Content type: Research Article

    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

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  2. Content type: Research Article

    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

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  3. Content type: Research Article

    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

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  4. Content type: Research Article

    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

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  5. Content type: Research Article

    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

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  6. Content type: Research Article

    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

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  7. Content type: Research Article

    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

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  8. Content type: Research Article

    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

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  9. Content type: Research Article

    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

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  10. Content type: Research Article

    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

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  11. Content type: Research Article

    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

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  12. Content type: Research Article

    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

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  13. Content type: Research Article

    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

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  14. Content type: Research Article

    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

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  15. Content type: Research Article

    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

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  16. Content type: Research Article

    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

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  17. Content type: Research Article

    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

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  18. Content type: Research Article

    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

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  19. Content type: Research Article

    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

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  20. Content type: Research Article

    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

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  21. Content type: Research Article

    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

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  22. Content type: Research Article

    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

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  23. Content type: Research Article

    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

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  24. Content type: Research Article

    This work formulates existence, uniqueness, and uniqueness-implies-existence theorems for solutions to two-point vector boundary value problems on time scales. The methods used include maximum principles, a pr...

    Authors: Johnny Henderson, Allan Peterson and Christopher C Tisdell

    Citation: Advances in Difference Equations 2004 2004:146482

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  25. Content type: Research Article

    We consider a class of fourth-order nonlinear difference equations. The classification of nonoscillatory solutions is given. Next, we divide the set of solutions of these equations into two types: F+- and F-solu...

    Authors: Małgorzata Migda, Anna Musielak and Ewa Schmeidel

    Citation: Advances in Difference Equations 2004 2004:471072

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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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