| 二阶非线性混合型差分方程非振动解的存在性 |
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| 引用本文： | 王志伟,汤小松,邓志云.二阶非线性混合型差分方程非振动解的存在性[J].井冈山学院学报,2009,30(6):38-40. |
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| 作者姓名： | 王志伟 汤小松 邓志云 |
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| 作者单位： | 井冈山大学数理学院,江西,吉安,343009 |
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| 摘 要： | 主要讨论二阶非线性混合型差分方程，即带正负项的方程非振动解的存在性。并利用Banach压缩映射原理对中立型项系统的四种情形给出了方程存在最终正解存在性定理。
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| 关 键 词： | 混合型差分方程 中立型项 振动性 非振动性 |
The existence of the non-oscillatory solution to the second order nonlinear mixed difference equation |
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| WANG Zhi-wei,TANG Xiao-song,DENG Zhi-yun.The existence of the non-oscillatory solution to the second order nonlinear mixed difference equation[J].Journal of Jinggangshan University,2009,30(6):38-40. |
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| Authors: | WANG Zhi-wei TANG Xiao-song DENG Zhi-yun |
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| Institution: | (School of Mathematics and Physics Jinggangshan University, Ji＇an 343009, China) |
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| Abstract: | In the paper,we mainly discuss the existence of the non-oscillatory solution to the second order nonlinear mixed difference equation,which is the difference equation with positive and negative term.Based on the Banach contraction mapping principle,we give the existence of eventually positive solution of the equation for the four type of distribution situation of the neutral terms system. |
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| Keywords: | mixed difference equation neutral term oscillation non-oscillation |
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