On asymptotic behavior of delay-differential equations of third order. (English) Zbl 0935.34063

Parhi, N.; Padhi, Seshadev

Nonlinear Anal., Theory Methods Appl. 34, No. 3, 391-403 (1998).

The asymptotic behavior of nonoscillatory solutions to third-order delay-differential equations \[ y'''(t)+a(t)y''(t)+b(t)y'(t)+c(t)y(g(t))=0 \] is studied where \(a,b,c \in C([0,\infty),\mathbb{R})\), \(a(t)\geq 0\), \(b(t)\leq 0\), \(c(t)> 0\) and \(g\in C([0,\infty),\mathbb{R})\) with \(g(t)\leq t\) and \(g(\infty)=\infty\).

Reviewer: J.Diblík (Brno)

MSC:

34K25	Asymptotic theory of functional-differential equations
34K11	Oscillation theory of functional-differential equations

Keywords:

oscillation; nonoscillation; delay-differential equation; asymptotic behaviour

References:

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