| 拟线性中立型差分方程 k-单调正解存在显著的充分条件 |
| |
| 引用本文： | 段振华,刘智钢,盛国森. 拟线性中立型差分方程 k-单调正解存在显著的充分条件[J]. 湘南学院学报, 1999, 0(4) |
| |
| 作者姓名： | 段振华 刘智钢 盛国森 |
| |
| 作者单位： | 湖南大学衡阳分校 湖南·衡阳421101(段振华)，郴州师专数学系 湖南·郴州423000(刘智钢)，衡阳职业技术学院 湖南·衡阳421001(盛国森) |
| |
| 摘 要： | 本文研究了拟线性中立型差分方程 △(x_n-x_(n-k)~α+q_nX_(n-1)~α=0 n=0,1,2,….正解存在性,其中q_n≥0,n=0,l,2…,k>0和1都是非负整数,α为两正奇数之商。获得了该方程存在k-单调正解一些显著的充分条件。
|
| 关 键 词： | 差分方程 中立型 拟线性 K-单调正解 |
Explicit Sufficient Conditions for Existence of k - Monotone Positive solutions to Quasilinear Neutral Difference Equations |
| |
| Duan Zhenhua Liu Zhigang Sen Guosen. Explicit Sufficient Conditions for Existence of k - Monotone Positive solutions to Quasilinear Neutral Difference Equations[J]. Journal of Xiangnan University, 1999, 0(4) |
| |
| Authors: | Duan Zhenhua Liu Zhigang Sen Guosen |
| |
| Affiliation: | Duan Zhenhua Liu Zhigang Sen Guosen( Hengyamg Branch of Hunan University Hengyang Hunan 421101)( Chenzhou Teacher's College Oienzhou Hunan 423000)( Hengyang Technology College Hengyang Hunan 421001) |
| |
| Abstract: | In this paper, We Consider Quasilinear neutral difference Equation△(xn-xn-k)a+qnxn-ta=0,1,2,...Where qn≥0 forn = 0,l,2,...,k>0 and 1 are nongative integers, σ<α= p/q and p.q are odd integers. some explicit sufficient Conditions for existence of k - monotone positive solutions of the difference equation are obtained. |
| |
| Keywords: | defiierence equation neutral type quasilinear K- monotone positive solution |
| 本文献已被 CNKI 等数据库收录！ |
|
