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Comparison theorems for the third-order delay trinomial differential equations - MaRDI portal

Comparison theorems for the third-order delay trinomial differential equations (Q610908)

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scientific article; zbMATH DE number 5825821
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Comparison theorems for the third-order delay trinomial differential equations
scientific article; zbMATH DE number 5825821

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    Comparison theorems for the third-order delay trinomial differential equations (English)
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    13 December 2010
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    The objective of this paper is to study asymptotic properties of the third-order delay trinomial differential equation \[ y'''(t)+p(t)y'(t)+g(t)y(\tau(t))=0. \] Employing new comparison theorems, we can deduce the oscillatory and asymptotic behavior of the above-mentioned equation from the oscillation of a couple of the first-order differential equations. Obtained comparison principles essentially simplify the examination of the studied equations.
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    oscillation
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