关于卷积型离散Volterra方程的渐近性质

2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR) Pub Date : 2019-08-01 DOI:10.1109/MMAR.2019.8864658

P. T. Anh, A. Babiarz, A. Czornik, M. Niezabitowski, S. Siegmund

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引用次数: 2

摘要

讨论了卷积型离散Volterra方程的动力学性质。研究了解的渐近分离问题。更准确地说，给出了卷积型离散Volterra方程两种不同解之间差模的多项式下界。我们将这一结果应用于分数阶差分方程理论。

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On asymptotic properties of discrete Volterra equations of convolution type

This paper discusses dynamic properties of discrete Volterra equations of convolution type. The asymptotic separation of solutions is studied. More precisely, a polynomial lower bound for the norm of differences between two different solutions of discrete Volterra equations of convolution type is presented. We apply this result to the theory of fractional difference equations.

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2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR)

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