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Stable systems with two delays (Q1386920)

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scientific article; zbMATH DE number 1157969
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English
Stable systems with two delays
scientific article; zbMATH DE number 1157969

    Statements

    Stable systems with two delays (English)
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    1 February 1999
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    The paper is devoted to second-order linear autonomous equations with two constant delays. The corresponding quasipolynomial \[ z^2+z+1=c [\exp(-a_1 z)+ \exp(-z a_2)] \] with constants \(c, a_1>0, a_2>0\) is investigated. The possible directions of stable rays are defined. In addition, it is proved that the set of stable rays is finite.
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    linear retarded equations
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    stability
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    quasipolynomial
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    stable rays
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