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Dynamic Equations with Applications

  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 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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  7. 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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