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2012 An Algebraic Criterion of Zero Solutions of Some Dynamic Systems
Ying Wang, Baodong Zheng, Chunrui Zhang
Abstr. Appl. Anal. 2012: 1-13 (2012). DOI: 10.1155/2012/956359

Abstract

We establish some algebraic results on the zeros of some exponential polynomials and a real coefficient polynomial. Based on the basic theorem, we develop a decomposition technique to investigate the stability of two coupled systems and their discrete versions, that is, to find conditions under which all zeros of the exponential polynomials have negative real parts and the moduli of all roots of a real coefficient polynomial are less than 1.

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Ying Wang. Baodong Zheng. Chunrui Zhang. "An Algebraic Criterion of Zero Solutions of Some Dynamic Systems." Abstr. Appl. Anal. 2012 1 - 13, 2012. https://doi.org/10.1155/2012/956359

Information

Published: 2012
First available in Project Euclid: 28 March 2013

zbMATH: 1260.34140
MathSciNet: MR3004920
Digital Object Identifier: 10.1155/2012/956359

Rights: Copyright © 2012 Hindawi

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