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Representation of solutions of linear discrete systems with constant coefficients and pure delay

Advances in Difference Equations volume 2006, Article number: 080825 (2006) Cite this article

Abstract

The purpose of this contribution is to develop a method for construction of solutions of linear discrete systems with constant coefficients and with pure delay. Solutions are expressed with the aid of a special function called the discrete matrix delayed exponential having between every two adjoining knots the form of a polynomial. These polynomials have increasing degrees in the right direction. Such approach results in a possibility to express initial Cauchy problem in the closed form.

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Authors and Affiliations

  1. Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, Brno, 602 00, Czech Republic

    J Diblík

  2. Faculty of Cybernetics, Kiev National Taras Shevchenko University, Kiev, 01033, Ukraine

    DYA Khusainov

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  1. J Diblík
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  2. DYA Khusainov
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Correspondence to J Diblík.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Diblík, J., Khusainov, D. Representation of solutions of linear discrete systems with constant coefficients and pure delay. Adv Differ Equ 2006, 080825 (2006). https://doi.org/10.1155/ADE/2006/80825

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