On second order sublinear oscillation |
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| Authors: | Ch G Philos |
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| Institution: | (1) Department of Mathematics, University of Ioannina, Ioannina, Greece |
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| Abstract: | The basic purpose of this paper is to present a new oscillation criterion for second order sublinear ordinary differential equations of the formx (t) +a(t)fx(t)] = 0,t  t
0>0, wherea is a continuous function on t
0,  ) without any restriction on its sign andf is a continuous function on the real line, which is continuously differentiable, except possibly at 0, and satisfiesyf(y)>0 andf (y)>0 fory  0, and
![$$\int_{ \pm 0}^{ \pm 1} {\left {1/f(y)} \right]dy< \infty } $$](/content/f7126702461gn267/10_2005_Article_BF02192675_TeX2GIFIE1.gif)
. The results obtained include the average behavior of the integral of the coefficienta. |
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| Keywords: | Primary 34C15 |
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