Integral criteria for second-order linear oscillation E. J. Qualitative Theory of Diff. Equ., No. 10. (2006), pp. 1-18.
| Communicated by T. A. Burton. | Received on 2006-05-26 Appeared on 2006-07-18 |
Abstract: We present several new criteria for the oscillation of the second-order linear equation $ y''(t)+q(t)y(t)=0 $, in which the coefficient $ q $ may or may not change signs. The criteria involve the integral $ \int t^\gamma q(t)\, dt $ for some $ \gamma >0 $. The special case $ \gamma =2 $ is then studied in greater details.
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