| 二阶及2n阶周期边值问题的多个正解(英文) |
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| 引用本文： | 戚仕硕,马海霞.二阶及2n阶周期边值问题的多个正解(英文)[J].安徽大学学报(自然科学版),2011,35(6):1-8. |
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| 作者姓名： | 戚仕硕 马海霞 |
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| 作者单位： | 郑州大学数学系,河南郑州,450100 |
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| 基金项目： | Supported by the Natural Sciences Research Program of the Education Department of Henan Province(2008B110021) |
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| 摘 要： | 应用Leggett-Williams不动点定理及其推论研究二阶微分方程周边值问题,并在较有关文献更弱的条件下分别证明了其至少有三个或至少有两个正解的存在性结果.使用相同的理论方法讨论了一类2n阶微分方程周期边值问题,同样获得了其至少有三个或至少有两个正解的存在性定理.论文所得结论在一定程度上推广和改进了所引用相关文献中的一些结果.
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| 关 键 词： | 微分方程 正解 周期边值问题 |
Multiple positive solutions of second-order and 2nth-order periodic boundary value problems |
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| QI Shi-shuo,MA Hai-xia.Multiple positive solutions of second-order and 2nth-order periodic boundary value problems[J].Journal of Anhui University(Natural Sciences),2011,35(6):1-8. |
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| Authors: | QI Shi-shuo MA Hai-xia |
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| Institution: | QI Shi-shuo,MA Hai-xia(Department of Mathematics,Zhengzhou University,Zhengzhou 450100,China) |
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| Abstract: | In the first place,we investigate in this article the periodic boundary value problems for second-order differential equations by an application of Leggett-Williams' Fixed Point Theorem and its corollary,and prove under much weaker conditions than those used in the cited literature the existence results of at least three or at least two positive solutions to the problems studied,respectively.Secondly,we utilize the same theoretical approaches to discuss a family of periodic boundary value problems for 2nth-... |
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| Keywords: | differential equation positive solution periodic boundary value problem |
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