An Algebraic Criterion of Zero Solutions of Some Dynamic Systems | Zendy

Ying Wang | Zendy; Baodong Zheng | Zendy; Chunrui Zhang | Zendy

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An Algebraic Criterion of Zero Solutions of Some Dynamic Systems

Author(s) -

Ying Wang,

Baodong Zheng,

Chunrui Zhang

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/956359

Subject(s) - mathematics , zero (linguistics) , polynomial , algebraic number , exponential function , moduli , exponential polynomial , real algebraic geometry , decomposition , pure mathematics , algebra over a field , mathematical analysis , philosophy , linguistics , physics , quantum mechanics , ecology , biology

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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