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Nonoscillatory solutions of a second order nonlinear delay differential equation. (English) Zbl 0585.34046
Conditions are given for the classification of the nonoscillatory solutions of the DDE $$u''+p(t)u^{\alpha}(g(t))=0$$ in some classes depending on the limits of both $$| u|$$ and $$| u'|$$ as $$t\to \infty$$ $$(p(t)\geq 0,g(t)\leq t,\alpha =m/n$$, with m,n odd).
Reviewer: S.Invernizzi
##### MSC:
 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems
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##### References:
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