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