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On the oscillation of a linear differential equation of second order. (English) Zbl 0673.34043

The aim of this paper is to present oscillation and nonoscillation theorems for the equation \((1)\quad (r(t)y'(t))'+p(t)y(t)=0,\) as well as to introduce necessary and sufficient conditions for (1) to be oscillatory. The technique used in the paper is established on the notion of the v-derivative of a function.
Reviewer: J.Ohriska

MSC:

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

[1] J. Ohriska: Oscillation of differential equations and \(v\)-derivatives. Czech. Math. J., 39 (114) (1989),24-44. · Zbl 0673.34044
[2] W. T. Reid: Sturmian theory of ordinary differential equations. Springer-Verlag New York Inc., 1980. · Zbl 0459.34001
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