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Oscillation properties of even order neutral differential equations with deviating arguments - MaRDI portal

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Oscillation properties of even order neutral differential equations with deviating arguments (Q2709766)

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scientific article
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English
Oscillation properties of even order neutral differential equations with deviating arguments
scientific article

    Statements

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    19 December 2001
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    oscillation
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    even-order neutral differential equations
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    deviating arguments
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    solutions
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    Oscillation properties of even order neutral differential equations with deviating arguments (English)
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    The neutral differential equation NEWLINE\[NEWLINE\Biggl[x(t)+ \sum^m_{i=1} P_i(t) x(\tau(t))\Biggr]^{(n)}+ Q(t) f(x(\sigma(t)))= 0,\quad t\geq t_0,NEWLINE\]NEWLINE is considered, with \(n= 2k\), \(k\in\mathbb{N}\). Sufficient conditions are given for all proper solutions to the equation to be oscillatory.
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