| 非线性Sturm—Liouville边值问题的多重非负解 |
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| 引用本文： | 蒋开育,赵增勤.非线性Sturm—Liouville边值问题的多重非负解[J].应用泛函分析学报,2008,10(2):162-169. |
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| 作者姓名： | 蒋开育 赵增勤 |
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| 作者单位： | 曲阜师范大学,数学科学学院,山东,曲阜,273165 |
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| 摘 要： | 利用上下解方法，锥理论，Schauder不动点定理，Amann不动点定理以及映射度理论研究Sturm—Liouville边值问题（SL．ρ），在某些特定条件下，得到了有多重非负解的存在性结论．从而一定程度上推广和改进了最近的相关结果．
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| 关 键 词： | Sturm—Liouville边值问题 正规体锥 上下解方法 不动点 映射度 |
Multiple Nongenative Solutions for Nonlinear Sturm-Liouville Boundary Value Problems |
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| JIANG Kai-yu,ZHAO Zeng-qin.Multiple Nongenative Solutions for Nonlinear Sturm-Liouville Boundary Value Problems[J].Acta Analysis Functionalis Applicata,2008,10(2):162-169. |
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| Authors: | JIANG Kai-yu ZHAO Zeng-qin |
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| Institution: | (Department of Mathematics, Qu fu Normal University, Qu fu Shandong 273165, China) |
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| Abstract: | In this paper, we make use of the method of upper and lower solutions, cone theory, the Schauder-fixed point theorem, Amann theorem and mapping degree theory to study the Sturm- Liouville boundary value problems, and obtain existence conclutions which have multiple nongenative solutions under some certain conditions. In some degree, the results obtained are the generations and improvements of recent corresponding results. |
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| Keywords: | Sturm-Liouville boundary value problem normal solid cone the method of upper and lower solutions the fixed point mapping degree |
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