| 具有正负系数的连续变量的差分方程解的零点分布 |
| |
| 引用本文： | 单文锐,葛渭高.具有正负系数的连续变量的差分方程解的零点分布[J].数学年刊A辑(中文版),2003(3). |
| |
| 作者姓名： | 单文锐 葛渭高 |
| |
| 作者单位： | 北京邮电大学理学院，北京理工大学科技学院应用数学系 北京 100876，北京 100081 |
| |
| 基金项目： | 国家自然科学基金(No.19871005) |
| |
| 摘 要： | 考虑具有正负系数的连续变量的差分方程 x(t)-x(t-γ)+P(t)x(t-τ)-Q(t)x(t-σ)=0,其中P,Q∈C(t_0,∞),R~+),τ,σ,γ∈(0,∞)。本文给出了上述方程解的零点分布及方程所有解振动的充分条件并改进和推广了已有的结果。
|
| 关 键 词： | 差分方程 零点距 振动性 |
DISTRIBUTION OF ZEROS FOR DIFFERENCE EQUATIONS WITH CONTINUOUS ARGUMENT AND POSITIVE AND NEGATIVE COEFFICIENTS |
| |
| SHAN Wenrui GE Weigao
School of Science Beijing University of Posts and Telecommunications,Beijing
,China,E-mail: wrshan@eyou.com.DISTRIBUTION OF ZEROS FOR DIFFERENCE EQUATIONS WITH CONTINUOUS ARGUMENT AND POSITIVE AND NEGATIVE COEFFICIENTS[J].Chinese Annals of Mathematics,2003(3). |
| |
| Authors: | SHAN Wenrui GE Weigao
School of Science Beijing University of Posts and Telecommunications Beijing China E-mail: wrshan@eyoucom |
| |
| Institution: | SHAN Wenrui GE Weigao
School of Science Beijing University of Posts and Telecommunications,Beijing
100876,China,E-mail: wrshan@eyou.com
Department of Applied Mathematics,School of Science and Technology,Beijing University of Science and Technology,Beijing 100081,China. |
| |
| Abstract: | Consider the difference equation
In this paper, some estimates of distance between adjacent zeros of solutions and sufficient conditions for oscillation of above equation are obtained; This result improves and developes some known results. |
| |
| Keywords: | Difference equation Distribution of zeros Oscillation |
| 本文献已被 CNKI 等数据库收录！ |
|
