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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

Cited in: Zbl 1208.34041 Zbl 1208.34040 Zbl 1128.34023 Zbl 1175.35004 Zbl 1150.35040 Zbl 1128.34019 Zbl 1119.34005 Zbl 1144.35322 Zbl 1070.34052 Zbl 1056.34050 Zbl 1056.34052 Zbl 1049.34038 Zbl 1048.34073 Zbl 1046.35037 Zbl 1027.34040 Zbl 1059.34023 Zbl 1023.34030 Zbl 0989.34025 Zbl 1008.34029 Zbl 0948.34022 Zbl 0936.39005 Zbl 0924.34026 Zbl 0969.39004 Zbl 0892.34031

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