Displaying similar documents to “Asymptotic behaviour of a class of third order delay-differential equations”

Comparison theorems for the third order trinomial differential equations with delay argument

Jozef Džurina, Renáta Kotorová (2009)

Czechoslovak Mathematical Journal

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In this paper we study asymptotic properties of the third order trinomial delay differential equation y ' ' ' ( t ) - p ( t ) y ' ( t ) + g ( t ) y ( τ ( t ) ) = 0 by transforming this equation to the binomial canonical equation. The results obtained essentially improve known results in the literature. On the other hand, the set of comparison principles obtained permits to extend immediately asymptotic criteria from ordinary to delay equations.

Asymptotic behavior of solutions of third order delay differential equations

Mariella Cecchi, Zuzana Došlá (1997)

Archivum Mathematicum

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We give an equivalence criterion on property A and property B for delay third order linear differential equations. We also give comparison results on properties A and B between linear and nonlinear equations, whereby we only suppose that nonlinearity has superlinear growth near infinity.