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 |
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 |