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Zbl 0922.34029
Wong, James S.W.
Oscillation criteria for a forced second-order linear differential equation. (English)
[J] J. Math. Anal. Appl. 231, No.1, 235-240 (1999). ISSN 0022-247X

The paper deals with the forced second-order linear differential equation $$(p(t)y')'+q(t)y=f(t), \quad t\in [0,\infty), \tag 1$$ where $p>0$, $q, f$ are continuous functions. The author presents two oscillation criteria for equation (1) that do not assume that $q$ and $f$ be of definite sign. \par In theorem 1, a result of {\it M.A. El-Sayed} [Proc. Am. Math. Soc. 118, 813-817 (1993; Zbl 0777.34023)] is extended. The second criterion is derived under the assumption that the unforced equation $(p(t)y')'+ q(t)y=0$ is nonoscillatory. \par Two examples are given to show how the results can be applied where previous results are inconclusive.
[J.Ohriska (Košice)]

MSC 2000:: *34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: oscillation; forced second-order linear differential equation

Citations: Zbl 0777.34023

Cited in: Zbl 1234.35013 Zbl 1173.35485 Zbl 1150.34415 Zbl 1114.34310 Zbl 1102.34022 Zbl 1042.34096 Zbl 1023.34029

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