On the oscillation of third order functional differential equations (Q1011894)

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scientific article; zbMATH DE number 5543024
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On the oscillation of third order functional differential equations
scientific article; zbMATH DE number 5543024

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    On the oscillation of third order functional differential equations (English)
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    14 April 2009
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    This paper presents some new criteria for oscillatory behavior of solutions of third order functional differential equations of the form \[ (a(t)(x'(t))^\alpha))''+q(t)f(x[g(t)])=0 \] and \[ (a(t)(x'(t))^\alpha))''=q(t)f(x[g(t)])+p(t)h(x[\sigma(t)]), \] where \(\int^\infty a^{-1\alpha}(s)ds<\infty.\)
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    Functional differential equations
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    oscillation
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    nonoscillation
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    comparison theorem
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