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  1. 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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  2. 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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  3. 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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  4. 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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  5. 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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  6. 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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  7. 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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  8. Content type: Research Article

    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

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  9. Content type: Research Article

    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

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  10. Content type: Research Article

    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

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  11. Content type: Research Article

    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

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  12. Content type: Research Article

    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

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  13. Content type: Research Article

    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

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  14. Content type: Research Article

    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

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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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