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  1. 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

    Content type: Research Article

    Published on:

  2. We construct invariant foliations of the extended state space for nonautonomous semilinear dynamic equations on measure chains (time scales). These equations allow a specific parameter dependence which is the ...

    Authors: Christian Pötzsche

    Citation: Advances in Difference Equations 2006 2006:057043

    Content type: Research Article

    Published on:

  3. Difference schemes for two-point boundary value problems for systems of first-order nonlinear ordinary differential equations are considered. It was shown in former papers of the authors that starting from the...

    Authors: IP Gavrilyuk, M Hermann, MV Kutniv and VL Makarov

    Citation: Advances in Difference Equations 2006 2006:012167

    Content type: Research Article

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  4. The aim of this paper is to discuss the oscillatory behavior of difference systems of mixed type. Several criteria for oscillations are obtained. Particular results are included in regard to scalar equations.

    Authors: JoséM Ferreira and Sandra Pinelas

    Citation: Advances in Difference Equations 2006 2006:092923

    Content type: Research Article

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  5. We discuss the existence of oscillatory and nonoscillatory solutions for first-order impulsive dynamic equations on time scales with certain restrictions on the points of impulse. We will rely on the nonlinear...

    Authors: Mouffak Benchohra, Samira Hamani and Johnny Henderson

    Citation: Advances in Difference Equations 2006 2006:060860

    Content type: Research Article

    Published on:

  6. We study the theory of Sobolev's spaces of functions defined on a closed subinterval of an arbitrary time scale endowed with the Lebesgue Δ-measure; analogous properties to that valid for Sobolev's spaces of func...

    Authors: Ravi P Agarwal, Victoria Otero–Espinar, Kanishka Perera and Dolores R Vivero

    Citation: Advances in Difference Equations 2006 2006:038121

    Content type: Research Article

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  7. We discuss conditions for the existence of at least one positive solution to a nonlinear second-order Sturm-Liouville-type multipoint eigenvalue problem on time scales. The results extend previous work on both...

    Authors: Douglas R Anderson and Ruyun Ma

    Citation: Advances in Difference Equations 2006 2006:059572

    Content type: Research Article

    Published on:

  8. Essentially nonlinear difference equations in a Euclidean space are considered. Conditions for the existence of periodic solutions and solution estimates are derived. Our main tool is a combined usage of the r...

    Authors: MI Gil'

    Citation: Advances in Difference Equations 2006 2006:039419

    Content type: Research Article

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  9. 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:

  10. 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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  11. 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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  12. 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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  13. 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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  14. 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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  15. 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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  16. 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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  17. 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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  18. 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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  19. 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

    Published on:

  20. 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

    Published on:

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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

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