| 一阶差分方程周期边值问题一个或多个正解的存在性 |
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| 引用本文： | 许晓婕,费祥历. 一阶差分方程周期边值问题一个或多个正解的存在性[J]. 中国石油大学学报(自然科学版), 2011, 35(1). DOI: 10.3969/j.issn.1673-5005.2011.01.036 |
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| 作者姓名： | 许晓婕 费祥历 |
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| 作者单位： | 中国石油大学,数学与计算科学学院,山东,东营,257061 |
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| 基金项目： | 中国石油大学(华东)基础科研基金(Y070815) |
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| 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。
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| 关 键 词： | 周期边值问题 差分方程 正解 锥不动点定理 |
Existence of single and multiple solutions for first order discrete periodic boundary value problems |
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| XU Xiao-jie,FEI Xiang-li. Existence of single and multiple solutions for first order discrete periodic boundary value problems[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 2011, 35(1). DOI: 10.3969/j.issn.1673-5005.2011.01.036 |
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| Authors: | XU Xiao-jie FEI Xiang-li |
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| Affiliation: | XU Xiao-jie,FEI Xiang-li(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. |
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| Keywords: | periodic boundary value problem discrete equation positive solution fixed point theorem in cones |
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