| 摘要: |
| 用一类锥不动点定理首先给出一阶差分周期边值问题的存在性原则,并应用此原则论证了该问题一个或多个正解的存在性,最后通过例证对该问题加以说明。 |
| 关键词: 周期边值问题 差分方程 正解 锥不动点定理 |
| DOI：10.3969/j.issn.1673-5005.2011.01.036 |
| 分类号::O 175.08 |
| 文献标识码:A |
| 基金项目:中国石油大学(华东)基础科研基金(Y070815) |
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| Existence of single and multiple solutions for first order discrete periodic boundary value problems |
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XU Xiaojie, FEI Xiangli
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(College of Mathematics and Computational Science in China University of Petroleum, Dongying 257061, China)
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| Abstract: |
| The existence principle of single and multiple positive solutions for the first order discrete periodic boundary value problems was studied by employing a fixed point theorem in cones. Based on this principle, the existence of single and multiple positive solutions for the problems was given. Some new results about nonlinear difference equations on a finite discrete segment with periodic boundary conditions were demonstrated. |
| Key words: periodic boundary value problem discrete equation positive solution fixed point theorem in cones |
