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| 高阶线性常微分方程非振动解的零点个数问题 | |
| 引用本文： | 李展,张荣,王克.高阶线性常微分方程非振动解的零点个数问题[J].河南科技大学学报(自然科学版),2010,31(1):85-87. |
| 作者姓名： | 李展 张荣 王克 |
| 作者单位： | 1. 郑州大学,数学系,河南,郑州,450052 2. 洛阳理工学院,数理部,河南,洛阳,471023 3. 哈尔滨工业大学,数学系,山东,威海,264209 |
| 基金项目： | 国家自然科学基金项目(10171010);;教育部科学技术研究重点项目(01061) |
| 摘 要： | 研究了含有一个参数的高阶线性常微分方程的有界非振动解零点个数问题,将二阶线性常微分方程中有界非振动解零点个数问题的结论推广到高阶线性常微分方程情况上。 |
| 关 键 词： | 非振动解 解的零点 奇异特征值 |
Zero Number of Nonoscillatory Solutions for Higher-order Liner Ordinary Differential Equations |
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| LI Zhan,ZHANG Rong,WANG Ke.Zero Number of Nonoscillatory Solutions for Higher-order Liner Ordinary Differential Equations[J].Journal of Henan University of Science & Technology:Natural Science,2010,31(1):85-87. | |
| Authors: | LI Zhan ZHANG Rong WANG Ke |
| Institution: | 1.Department of Mathematics/a>;Zhengzhou University/a>;Zhengzhou 450052/a>;China/a>;2.Department of Mathematics & Physics/a>;Luoyang Institute of Science & Technology/a>;Luoyang 471023/a>;3.Department of Mathematics/a>;Harbin Institute of Tecnology/a>;Weihai 264209/a>;China |
| Abstract: | This paper is concerned with the problem of counting the number of zeros of bounded nonoscillatory solutions to higher-order liner ordinary differential equations,involving a parameter.The results for the second-order case is still valid for the higher-order liner ordinary differential equatione case. |
| Keywords: | Nonoscillatory solutions Zero of solution Singular eigenvalue problem |
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