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Tests for the oscillation of autonomous differential equations with bounded aftereffect - MaRDI portal

Tests for the oscillation of autonomous differential equations with bounded aftereffect (Q2010204)

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scientific article; zbMATH DE number 7137336
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Tests for the oscillation of autonomous differential equations with bounded aftereffect
scientific article; zbMATH DE number 7137336

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    Tests for the oscillation of autonomous differential equations with bounded aftereffect (English)
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    27 November 2019
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    This paper deals with a functional differential equation of the form \[ x^{\prime }(t)+\mu \int \limits_{0}^{r}x(t-s)dk(s)=0,~t\geq 0, \] where \(k\) is a function of bounded variation with \(k(0)=0.\) Several tests are obtained to investigate oscillation of the solutions of given delay differential equation.
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    delay differential equation
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    oscillation
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    concentrated and distributed delay
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