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An algebraic criterion of zero solutions of some dynamic systems. (English) Zbl 1260.34140
Summary: 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.
MSC:
34K20Stability theory of functional-differential equations