| 一类二阶非线性差分方程共轭边值问题的正解 |
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| 引用本文： | 唐衡生,李旭. 一类二阶非线性差分方程共轭边值问题的正解[J]. 邵阳学院学报(自然科学版), 2009, 6(4): 15-18 |
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| 作者姓名： | 唐衡生 李旭 |
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| 作者单位： | 1. 湖南大学,应用数学系,湖南,长沙,410082
2. 南华大学,艺术资源与环境工程学院,湖南,衡阳,421001 |
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| 摘 要： | 本文利用作用在Banach空间上的完全连续算子的Krasnosel’skil不动点定理研究了一类非线性二阶差分方程△[p（t）△u（t）]＋f（t，u（t））=0的共轭边值问题，获得了其正解（或负解）存在的充分条件．
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| 关 键 词： | 正解 边值问题 非线性差分方程 锥不动点 |
Positive Solutions of Boundary Value Problems for Some Second Order Nonlinear Difference Equations |
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| TANG Heng-sheng,LI Xu. Positive Solutions of Boundary Value Problems for Some Second Order Nonlinear Difference Equations[J]. Journal of Shaoyang University(Natural Science Edition), 2009, 6(4): 15-18 |
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| Authors: | TANG Heng-sheng LI Xu |
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| Affiliation: | 1. Department of Applied Mathematics, Hunan University, Changsha, Hunan, 410082 email：ths5002@163.com; 2. School of A rchitecture, Resources and Environment Engineering, Nanhua University, Hengyang, 421001 ) |
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| Abstract: | In this paper ,by applying Krasnosel＇skii fixed point theorem for completely continuous operator on Banach space ,some sufficient conditions are obtained for the existence of solutions for some conjugate Boundary Value Problems （BVP） of the second-order nonlinear difference equation： |
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| Keywords: | positive solutions boundary value problem nonlinear difference cones fixed point |
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