# On the oscillatory and asymptotic behavior of the bounded solutions of differential equations with deviating arguments

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## Summary

This paper is dealing with the oscillatory and asymptotic behavior of the bounded solutions of n-th order (n>

*1*) differential equations with deviating arguments involving the so called r-derivatives D_{r}^{(i)x}(i=*0, 1*, ..., n) of the unknown function x defined by, where r_{i}(i=*1, 2*, ..., n−*1*) are positive continuous functions on the interval [t_{ 0 }, ∞). The fundamental purpose is to find a necessary and sufficient condition in order to have at least one (bounded nonoscillatory) solution whose the limit at ∞ exists in**R**−{*0*}.### Keywords

Differential Equation Continuous Function Asymptotic Behavior Unknown Function Positive Continuous Function## Preview

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