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Asymptotically polynomial solutions to difference equations of neutral type

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  • Migda, Janusz

Abstract

Asymptotic properties of solutions to difference equation of the form Δm(xn+unxn+k)=anf(n,xσ(n))+bnare studied. We give sufficient conditions under which all solutions, or all solutions with polynomial growth, or all nonoscillatory solutions are asymptotically polynomial. We use a new technique which allows us to control the degree of approximation.

Suggested Citation

  • Migda, Janusz, 2016. "Asymptotically polynomial solutions to difference equations of neutral type," Applied Mathematics and Computation, Elsevier, vol. 279(C), pages 16-27.
    • Handle: RePEc:eee:apmaco:v:279:y:2016:i:c:p:16-27
    DOI: 10.1016/j.amc.2016.01.001
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    References listed on IDEAS

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    1. Migda, Janusz, 2015. "Approximative solutions to difference equations of neutral type," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 763-774.
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    Cited by:

    1. Migda, Janusz & Nockowska-Rosiak, Magdalena, 2019. "Asymptotic properties of solutions to difference equations of Sturm–Liouville type," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 126-137.

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    1. Migda, Janusz & Nockowska-Rosiak, Magdalena, 2019. "Asymptotic properties of solutions to difference equations of Sturm–Liouville type," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 126-137.

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