| POSITIVE SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS |
| |
| 作者姓名： | Ma Manjun Li Dong |
| |
| 作者单位： | Ma Manjun Li Dong (Dept. of Physics Math.，Nanhua University，Hengyang 421001) Li Xu (School of Architecture Engineering，Resource and Environment，Nanhua University，Hengyang 421001) |
| |
| 摘 要： | In this paper we apply a cone theoretic fixed-point theorem proved by Kras-nosel'skii to obtain sufficient conditions for the existence of positive solutions to some boundary value problems for a class of functional difference equations. We consider the case that the nonlinear term satisfies asymptotically linear growth.
|
| 关 键 词： | 非线性泛函微分方程 正解 特征值 固定点理论 存在性 |
POSITIVE SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS |
| |
| Ma Manjun Li Dong.POSITIVE SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS[J].微分方程年刊(英文版),2005,21(4):580-586. |
| |
| Authors: | Ma Manjun Li Dong Li Xu |
| |
| Institution: | [1]Dept. of Physics Math., Nanhua University, Hengyang 421001 [2]School of Architecture Engineering, Resource and Environment, Nanhua University, Hengyang 421001 |
| |
| Abstract: | In this paper we apply a cone theoretic fixed-point theorem proved by Kras-nosel'skii to obtain sufficient conditions for the existence of positive solutions to some boundary value problems for a class of functional difference equations. We consider the case that the nonlinear term satisfies asymptotically linear growth. |
| |
| Keywords: | functional difference equation nonlinear eigenvalue problem positive solutions fixed points |
| 本文献已被 CNKI 维普 等数据库收录！ |
