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Zbl 0661.34030
Philos, Ch.G.
Oscillation theorems for linear differential equations of second order.
(English)
[J] Arch. Math. 53, No.5, 482-492 (1989). ISSN 0003-889X; ISSN 1420-8938/e

Some new oscillation criteria are given for second order ordinary differential equations of the form $x''(t)+a(t)x(t)=0,$ $t\ge t\sb 0$, where a is a continuous real-valued function on the interval $[t\sb 0,\infty)$ without any restriction on its sign. These criteria extend and improve previous oscillations results due to {\it I. V. Kamenev} [Mat. Zametki 23, 249-251 (1978; Zbl 0386.34032)] and {\it J. Yan} [Proc. Am. Math. Soc. 98, 276-282 (1986; Zbl 0622.34027)]. The results obtained can be applied in some cases in which other known oscillation theorems are not applicable.
[Ch.G.Philos]
MSC 2000:
*34C10 Qualitative theory of oscillations of ODE: Zeros, etc.
34A30 Linear ODE and systems

Keywords: oscillation criteria; second order ordinary differential equations

Citations: Zbl 0386.34032; Zbl 0622.34027

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