| 四阶非线性微分方程组正解的存在性 |
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| 引用本文： | 陈丽珍,李刚. 四阶非线性微分方程组正解的存在性[J]. 扬州大学学报(自然科学版), 2008, 11(4) |
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| 作者姓名： | 陈丽珍 李刚 |
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| 作者单位： | 扬州大学,数学科学学院,江苏,扬州,225002 |
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| 摘 要： | 讨论一类四阶非线性微分方程组Dirichlet边值问题正解的存在性,利用Krasnoselskii不动点定理得到这类边值问题在超线性和次线性条件下至少存在两个正解.
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| 关 键 词： | 非线性微分方程组 正解 不动点定理 |
Existence of positive solutions for fourth-order nonlinear differential systems |
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| CHEN Li-zhen,LI Gang. Existence of positive solutions for fourth-order nonlinear differential systems[J]. Journal of Yangzhou University(Natural Science Edition), 2008, 11(4) |
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| Authors: | CHEN Li-zhen LI Gang |
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| Affiliation: | CHEN Li-zhen,LI Gang(Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China) |
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| Abstract: | The existence of positive solutions for a class of fourthorder nonlinear differential systems with Dirichlet boundary value condition is discussed.By using the Krasnoselskii fixed point theorem,an existence result of two positive solutions is obtained under suplinear condition and sublinear condition. |
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| Keywords: | nonlinear differential systems positive solutions fixed point theorem |
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