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| OSCILLATORY AND ASYMPTOTIC BEHAVIOUR OF n ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS |
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Citation： |
Yuan Jiong.OSCILLATORY AND ASYMPTOTIC BEHAVIOUR OF n ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Chinese Annals of Mathematics B,1989,10(2):143~153 |
| Page view： 839
Net amount： 759 |
Authors： |
Yuan Jiong; |
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| Abstract： |
This paper considers oscillatory and asymptotic behaviour of following n order neutra 少了
functional differential equation:
$$\[\frac{{{d^n}}}{{d{t^n}}}[x(t) - cx(t - \tau )] + {( - 1)^{n - 1}}\int_{{ - \tau^*} }^0 {x(t + \theta )d\eta (\theta )} = 0,\begin{array}{*{20}{c}}
{}&{(1)}
\end{array}\]$$
where $\[\tau > 0,{\tau ^*} > 0,1 > c \ge 0,\eta (\theta )\]$ is nondecreasing function with bounded variation on $\[[ - {\tau ^*},0]\]$.
In this paper the author obtains some results for any integer n and $\[c \in [0,1]\]$. Where c=0 or n=l, these results coincide with the results in G. Ladas's paper [4] and the author's papers [1, 2]. |
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