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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
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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