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**Oscillation of a fourth-order nonhomogeneous differential equation.**
*(English)*
Zbl 0358.34029

Summary: This paper is concerned with the oscillatory behavior of the fourth-order nonhomogeneous differential equation \((r(x)y'')''+p(x)y=f(x)\). It is shown that under appropriate conditions this equation may be reduced to lower-order nonhomogeneous equations for which oscillation criteria are available. Further, the behavior of the associated homogeneous equation is known.

### MSC:

34C10 | Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations |

34A30 | Linear ordinary differential equations and systems |

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\textit{R. E. Sitter} and \textit{S. C. Tefteller}, J. Math. Anal. Appl. 59, 93--104 (1977; Zbl 0358.34029)

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### References:

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