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Asymptotic behaviour of the analytic solution of the differential equation \(y\prime(t)+y(qt)=0\) as \(q\rightarrow 1^ -\) - MaRDI portal

Asymptotic behaviour of the analytic solution of the differential equation \(y\prime(t)+y(qt)=0\) as \(q\rightarrow 1^ -\) (Q1195401)

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scientific article; zbMATH DE number 69602
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English
Asymptotic behaviour of the analytic solution of the differential equation \(y\prime(t)+y(qt)=0\) as \(q\rightarrow 1^ -\)
scientific article; zbMATH DE number 69602

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    Asymptotic behaviour of the analytic solution of the differential equation \(y\prime(t)+y(qt)=0\) as \(q\rightarrow 1^ -\) (English)
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    26 October 1992
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    The author considers the first order linear delay equation \(y'(t)+y(qt)=0\), \(0<q<1\). Using techniques of complex analysis, he studies the asymptotic properties and distribution of zeros of the analytic solutions of the above mentioned equation.
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    first order linear delay equation
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    complex analysis
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    asymptotic properties
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    distribution of zeros
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    analytic solutions
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