| 非线性项变号情形下四阶边值问题正解的存在性 |
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| 引用本文： | 康涛.非线性项变号情形下四阶边值问题正解的存在性[J].河南师范大学学报(自然科学版),2009,37(4). |
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| 作者姓名： | 康涛 |
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| 作者单位： | 西北师范大学数学与信息科学学院,兰州,730070 |
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| 摘 要： | 基于锥上的不动点指数理论,文章讨论了一类四阶非线性边值问题正解的存在性.许多作者对该问题正解的存在性都是在假设非线性项f≥0的情形下得到的.文章在非线性项f可取负值情形下推广了已有工作.
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| 关 键 词： | 四阶边值问题 正解 锥 不动点指数 |
On the Existence of Positive Solution for Fourth-order Boundary Yalue Problems with Sign-changing Nonlinear Terms |
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| KANG Tao.On the Existence of Positive Solution for Fourth-order Boundary Yalue Problems with Sign-changing Nonlinear Terms[J].Journal of Henan Normal University(Natural Science),2009,37(4). |
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| Authors: | KANG Tao |
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| Institution: | KANG Tao(College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | Based on the fixed point index theory in cones,the article presents the existence of positivesolution to a kind of nonlinear fourth-order boundary value problem. Many authors have gained the positive solution of the problem in case of nonlin-ear part f≥0, The paper generalizes the results in case of / can be negative. |
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| Keywords: | fourth-order boundary value problem positive solution cone fixed point index |
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