| 一类非线性m点边值问题的3个正解的存在性 |
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| 引用本文： | 王莉,刘三辉.一类非线性m点边值问题的3个正解的存在性[J].宝鸡文理学院学报(自然科学版),2013,33(1):11-15. |
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| 作者姓名： | 王莉 刘三辉 |
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| 作者单位： | 湖南师范大学数学与计算机科学学院,湖南长沙412005;株洲职业技术学院基础课部,湖南株洲412001;湖南师范大学数学与计算机科学学院,湖南长沙,412005 |
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| 基金项目： | 国家自然科学基金项目(10871062);湖南省教育厅资助科研项目(07B041) |
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| 摘 要： | 目的讨论了非线性优点边值问题的3个正解的存在性。方法利用Leggett-Williams不动点定理。结果与结论建立若干多重正解存在的充分条件，这些结果改进和推广了一些已知的结论。
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| 关 键 词： | 边值问题 不动点定理 正解 |
Three positive solutions of a class of nonlinear m-point boundary value problem |
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| WAGN Li,LIU San-hui.Three positive solutions of a class of nonlinear m-point boundary value problem[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2013,33(1):11-15. |
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| Authors: | WAGN Li LIU San-hui |
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| Institution: | 1(1.College of Mathematics and Computer Science,Hunan Normal University,Changsha 412005,Hunan,China; 2.Department of Basic Courses,Zhuzhou Professional Technology College,Zhuzhou 412001,Hunan,China) |
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| Abstract: | Objective--To discuss the existence of three positive solutions of the nonlinear m-point boundary value problem. Methods--The Leggett-Williams fixed point theorem is used. Results and Conclusion--Some sufficient conditions for the existence of multiple positive solutions are established, and these results improve and generalize some known results. |
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| Keywords: | boundary value problems~ fixed point theorem positive solution |
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