| 有连续变量的二阶非线性差分方程的连续非振动解(英文) |
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| 引用本文： | 雷彩明,李洪旭.有连续变量的二阶非线性差分方程的连续非振动解(英文)[J].四川大学学报(自然科学版),2010,47(6):1209-1212. |
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| 作者姓名： | 雷彩明 李洪旭 |
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| 作者单位： | 四川大学数学学院,成都,610064 |
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| 摘 要： | 本文研究了一类具有连续变量的二阶非线性差分方程的连续非振动解的存在性问题.作者将原方程转化为积分方程,并应用对积分方程的研究结果,给出了原方程存在连续非振动解的一个新的充分条件.
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| 关 键 词： | 振动解 非振动解 差分方程 连续变量 |
Continuous nonoscillatory solutions of second-order nonlinear difference equations with continuous variable |
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| LEI Cai-Ming,LI Hong-Xu.Continuous nonoscillatory solutions of second-order nonlinear difference equations with continuous variable[J].Journal of Sichuan University (Natural Science Edition),2010,47(6):1209-1212. |
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| Authors: | LEI Cai-Ming LI Hong-Xu |
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| Institution: | College of Mathematics, Sichuan University;College of Mathematics, Sichuan University |
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| Abstract: | In this paper,a new existence theorem of the continuous nonoscillatory solutions of second-order nonlinear difference equations with continuous variable is given by using the results of the integral equation which is transformed from the original difference equation. |
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| Keywords: | oscillatory solution nonoscillatory solution difference equation continuous variable |
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