## Summary

We investigate the equation

and give sufficient conditions for the approach to zero of all nonoscillatory solutions or all bounded nonoscillatory solutions as t → ∞. Let us consider the following two cases. Case*1.* b(t) is oscillatory on [τ, ∞). Case*2.* b(t) is nonnegative on [τ, ∞).

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## Additional information

This research was supported by the National Science Council.

Entrata in Redazione il 10 novembre 1976.

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### Cite this article

Chen, L. Some nonoscillation theorems for the higher order nonlinear functional differential equations.
*Annali di Matematica* **117, **41–53 (1978) doi:10.1007/BF02417883

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### Keywords

- Differential Equation
- Functional Differential Equation
- Nonoscillatory Solution
- Nonlinear Functional Differential Equation
- Nonoscillation Theorem