| 四阶边值问题的非负解 |
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| 引用本文： | 赵虹.四阶边值问题的非负解[J].纯粹数学与应用数学,2008,24(1):161-166. |
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| 作者姓名： | 赵虹 |
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| 作者单位： | 长春师范学院数学学院,吉林,长春,130032 |
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| 摘 要： | 讨论了一类四阶非线性常微分方程两点边值问题非负解的存在性.利用锥不动点指数理论得到了方程存在非负解的充分条件.
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| 关 键 词： | 存在性 非负解 锥不动点指数 |
| 文章编号： | 1008-5513(2008)01-0161-06 |
| 修稿时间： | 2005年9月15日 |
Non-negative solutions of fourth-order boundary value problems |
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| ZHAO Hong.Non-negative solutions of fourth-order boundary value problems[J].Pure and Applied Mathematics,2008,24(1):161-166. |
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| Authors: | ZHAO Hong |
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| Institution: | ZHAO Hong (College of Mathematics,Changchun Normal University,Changchun 130032,China) |
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| Abstract: | We discuss the existence of non-negative solutions to the fourth-order nonlinear ordinary differential equations two-point boundary value problem,and obtain sufficient conditions of the non-negative existence by using the theory of fixed point index in cones. |
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| Keywords: | existence non-negative solutions fixed point index in cones |
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