| 关于差分方程xn=(A+xn-1p)/(B+xn-kp)正解的有界性 |
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| 引用本文： | 伍晖,孙太祥,韩彩虹.关于差分方程xn=(A+xn-1p)/(B+xn-kp)正解的有界性[J].广西科学,2008,15(4):361-363. |
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| 作者姓名： | 伍晖 孙太祥 韩彩虹 |
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| 作者单位： | 广西大学数学与信息科学学院 |
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| 基金项目： | Project supported by NSF of guangxi (0640205, 0728002);innovation project of guangxi graduate education(20081505930701M43) |
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| 摘 要： | 证明差分方程x_n=(A x_(n-1)~p)/(B x_(n-k)~p),n=0,1,2,…,(其中k≥2,A,B,p∈(0, ∞))在p~(k-1)≥k~k/(k-1)~(k-1)时,有无界的解,并且当p~(k-1)
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| 关 键 词： | 差分方程 有界性 正解 |
| 收稿时间： | 2007/12/5 0:00:00 |
| 修稿时间： | 2008/3/17 0:00:00 |
On the Boundedness Nature of Positive Solutions of the Difference Equation xn= (A+xn-1p)/(B+xn-kp) |
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| WU Hui,SUN Tai-xiang and HAN Cai-hong.On the Boundedness Nature of Positive Solutions of the Difference Equation xn= (A+xn-1p)/(B+xn-kp)[J].Guangxi Sciences,2008,15(4):361-363. |
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| Authors: | WU Hui SUN Tai-xiang and HAN Cai-hong |
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| Institution: | College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China,College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China and College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China |
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| Abstract: | |
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| Keywords: | difference equation boundedness positive solution |
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