## Oscillation theorems for linear differential equations of second order.(English)Zbl 0661.34030

Some new oscillation criteria are given for second order ordinary differential equations of the form $$x''(t)+a(t)x(t)=0,$$ $$t\geq t_ 0$$, where a is a continuous real-valued function on the interval $$[t_ 0,\infty)$$ without any restriction on its sign. These criteria extend and improve previous oscillations results due to I. V. Kamenev [Mat. Zametki 23, 249-251 (1978; Zbl 0386.34032)] and 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.
Reviewer: Ch.G.Philos

### MSC:

 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 34A30 Linear ordinary differential equations and systems

### Citations:

Zbl 0386.34032; Zbl 0622.34027
Full Text:

### References:

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