| AN OSCILLATION CRITERION FOR EVEN ORDER NEUTRAL DIFFERENCE EQUATIONS |
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| 引用本文： | 李永昆,秦茂昌,范桂红. AN OSCILLATION CRITERION FOR EVEN ORDER NEUTRAL DIFFERENCE EQUATIONS[J]. Annals of Differential Equations, 2003, 0(4) |
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| 作者姓名： | 李永昆 秦茂昌 范桂红 |
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| 作者单位： | Dept of Math.，Yunnan University，Kunming 650091，Dept.of Math.，Yunnan University，Kunming 650091，Dept.of Math.，Yunnan University，Kunming 650091 |
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| 基金项目： | This work is supported by National Natural Sciences Foundation of People's Republic of China under Grant 10061004 and Natural Sciences Foundation of Yunnan Province |
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| 摘 要： | An oscillation criterion is obtained for even order neutral type differenceequations of the following formΔ~m(x_n+α_nx_(n-т))+f(n,x_n,x_(n-σ))=0,n=n_0,n_0+1,…,where m≥2 is even, n_0 is a nonnegative integer, Δ is the forward differenceoperator defined by Δx_n=x_(n+1)-x_n, and for i≥1, Δ~i is the i~(th)-order forwarddifference operator defined by Δ~ix_n=Δ(Δ~(i-1)x_n),т and σ are positive integers.
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AN OSCILLATION CRITERION FOR EVEN ORDER NEUTRAL DIFFERENCE EQUATIONS |
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| Li Yongkun Qin Maochang Fan Guihong. AN OSCILLATION CRITERION FOR EVEN ORDER NEUTRAL DIFFERENCE EQUATIONS[J]. 微分方程年刊(英文版), 2003, 0(4) |
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| Authors: | Li Yongkun Qin Maochang Fan Guihong |
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| Abstract: | An oscillation criterion is obtained for even order neutral type difference equations of the following formwhere m > 2 is even, no is a nonnegative integer, A is the forward difference operator defined by zn =xn+1 - xn,and for i >1, i is the ith-order forward difference operator defined by ixn = A(i-1xn), r and o are positive integers. |
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| Keywords: | oscillation neutral difference equation |
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