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Oscillation of second order delay and ordinary differential equation. (English) Zbl 0543.34054
Two oscillation criteria are given for the equation \(u''(t)+p(t)u(h(t))=0,\) where p(t)\(\geq 0\), h(t)\(\leq t\) and h(t)\(\to \infty\) as \(t\to \infty\). For \(h(t)=t\) the first criterion seems to be already known.
Reviewer: M.M.Konstantinov

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
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References:
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[2] L. Erbe: Oscillation criteria for second order nonlinear delay equations. Canad. Math. Bull. 16 (1), 1973, 49-56. · Zbl 0272.34095
[3] J. G. Mikusiňski: On Fite’s oscillation theorems. Colloq. Math. II, 1949, 34-39. · Zbl 0039.31302
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