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Linearized oscillation theory for a nonlinear nonautonomous delay differential equation - MaRDI portal

Linearized oscillation theory for a nonlinear nonautonomous delay differential equation (Q1861318)

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scientific article; zbMATH DE number 1882244
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Linearized oscillation theory for a nonlinear nonautonomous delay differential equation
scientific article; zbMATH DE number 1882244

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    Linearized oscillation theory for a nonlinear nonautonomous delay differential equation (English)
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    16 March 2003
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    The authors consider the following equation \[ \dot x(t)+ \sum^m_{k=1} r_k(t)f_k\biggl[ x\bigl(h_k(t)\bigr) \biggr]=0. \] They revise a linearized oscillation condition and improve linearized nonoscillation conditions obtained before by several authors. The authors apply their results to equations of mathematical biology.
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    oscillation
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    nonoscillation
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    linearized theory
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    equations of population dynamics
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