The Trinomial Equation xk+l-axk + bXk-n = 0: Analysis of the Nonasymptotic Behavior of Solutions

The equation presented in the title of this paper was the subject of research in numerous papers and textbooks. It represents a linearized model of population dynamics, and, so far, every effort in the related literature was put on the characterization of the asymptotic behavior of it; particularly,...

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Bibliographic Details
Published inMediterranean Conference on Control & Automation pp. 618 - 623
Main Author Shcherbakov, Pavel
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2019
Subjects
Logistics
Machine learning
Neural networks
Routing
Routing protocols
Training
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Summary:The equation presented in the title of this paper was the subject of research in numerous papers and textbooks. It represents a linearized model of population dynamics, and, so far, every effort in the related literature was put on the characterization of the asymptotic behavior of it; particularly, on the construction of the domain of stability on the plane of coefficients. Since very recently, a number of publications have appeared where nonasymptotic behavior of stable difference equations with nonzero initial conditions was the main subject, and estimates of deviations of solutions from the initial conditions were obtained for classes of equations. In this paper, we continue this line of research as applied to this popular special-type equation for various coefficients and/or initial conditions.
ISSN:2473-3504
DOI:10.1109/MED.2019.8798544