The properties of zeros for a class of exponential polynomials and applications in economical systems (Q2784705)

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scientific article; zbMATH DE number 1732931
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The properties of zeros for a class of exponential polynomials and applications in economical systems
scientific article; zbMATH DE number 1732931

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    9 December 2003
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    neural oscillators
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    exponential polynomials
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    stability
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    coupled oscillators
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    Kalecki macro-dynamical models
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    business cycles
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    The properties of zeros for a class of exponential polynomials and applications in economical systems (English)
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    The authors consider differential-difference equations with exponential terms. For stability consideration, the authors establish a theorem on necessary and sufficient conditions under which all zeros of the characteristic equations lie on the left of the imaginary axis. This work contributes to the study of coupled oscillators with time-delay coupling (neural oscillators). It is also applicable to economical models with time-delay relationships like the Kalecki macro-dynamical models of business cycles.NEWLINENEWLINEFor the entire collection see [Zbl 0971.00016].
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