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Asymptotic convergence of solutions of a scalar q-difference equation with double delays

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Abstract

We obtain sufficient conditions for the asymptotic convergence of all solutions of a scalar q-difference equation with double delays. Moreover, we prove that the limits of the solutions could be formulated in terms of the initial functions and the solution of a corresponding sum equation.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Ankara University, 06100, Ankara, Turkey

    H. Bereketoglu, M. E. Kavgaci & G. S. Oztepe

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  1. H. Bereketoglu
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  2. M. E. Kavgaci
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  3. G. S. Oztepe
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Correspondence to G. S. Oztepe.

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Bereketoglu, H., Kavgaci, M.E. & Oztepe, G.S. Asymptotic convergence of solutions of a scalar q-difference equation with double delays. Acta Math. Hungar. 148, 279–293 (2016). https://doi.org/10.1007/s10474-015-0575-9

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  • DOI: https://doi.org/10.1007/s10474-015-0575-9

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