| 含有一阶导数的非局部四阶边值问题正解的存在性 |
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| 引用本文： | 杨 飞,刘玉敬,郭彦平.含有一阶导数的非局部四阶边值问题正解的存在性[J].河北科技大学学报,2012,33(4):283-289. |
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| 作者姓名： | 杨 飞 刘玉敬 郭彦平 |
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| 作者单位： | 河北科技大学理学院,河北石家庄,050018 |
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| 基金项目： | 国家自然科学基金资助项目，河北省自然科学基金资助项目，河北省人才工程培养经费资助科研项目 |
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| 摘 要： | 利用一个新的锥不动点定理和非局部边值问题的Green函数的性质,研究了一类含有一阶导数的非局部四阶边值问题:{u(4)(t)+Au″(t)=λf(t,u(t),u′(t)),00,0
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| 关 键 词： | 边值问题 不动点定理 正解 |
| 收稿时间： | 2012/3/9 0:00:00 |
Positive solutions to nonlocal fourth-order boundary value problems with dependence on the first order derivative |
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| YANG Fei,LIU Yu-jing and GUO Yan-ping.Positive solutions to nonlocal fourth-order boundary value problems with dependence on the first order derivative[J].Journal of Hebei University of Science and Technology,2012,33(4):283-289. |
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| Authors: | YANG Fei LIU Yu-jing and GUO Yan-ping |
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| Institution: | (College of Sciences, Hebei University of Science and Technology, Shijiazhuang Hebei 050018, China) |
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| Abstract: | In this paper, a new fixed point theorem and the properties of Green function are used for the nonlocal boundary val- ue problems. The existence of at least one positive solution to the nonlocal fourth-order boundary value problem with the first order derivative is considered, where f is a nonnegative continuous function and λ〉0,0〈A〈π2 ,p,q∈ L0,1],p（s）≥0,q（s）≥0. Finally, a simple example is presented to illustrate the correctness of the obtained results. |
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| Keywords: | boundary value problem fixed point theorem positive solution |
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