| 二阶非线性差分方程的始终正解的存在性 |
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| 引用本文： | 李秀云,刘召爽,郝玲.二阶非线性差分方程的始终正解的存在性[J].内蒙古师范大学学报(自然科学版),2008,37(1):29-31,44. |
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| 作者姓名： | 李秀云 刘召爽 郝玲 |
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| 作者单位： | [1]承德师范专科学校数学系,河北承德067000 [2]河北师范大学数学与信息科学学院,河北石家庄050016 |
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| 摘 要： | 讨论了二阶非线性差分方程始终正解的存在性,通过引进适当的映射,利用Banach压缩映射原理,给出了方程具有某种渐近类型的始终正解存在的充分条件.
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| 关 键 词： | 非线性差分方程 始终正解 非振动性 |
| 文章编号： | 1001-8735（2008）01-0029-03 |
| 收稿时间： | 2007-01-25 |
| 修稿时间： | 2007年1月25日 |
Existence for Throughout Positive Solution of Second Order Nonlinear Difference Equations |
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| LI Xiu-yun,LIU Zhao-shuang,HAO Ling.Existence for Throughout Positive Solution of Second Order Nonlinear Difference Equations[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2008,37(1):29-31,44. |
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| Authors: | LI Xiu-yun LIU Zhao-shuang HAO Ling |
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| Abstract: | The existence problem of the throughout positive solution for the second order nonlinear neutral self-adjoint difference equation is studied. By introducing suitable mapping and by using Banach contraction mapping principle,we obtain sufficient conditions of the existence behavior for the throughout positive solution with some asymptotic types of this equation. |
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| Keywords: | nonlinear difference equation throughout positive solution nonoscillation |
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