| 一类非线性项含有导数的3阶边值问题的正解 |
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| 引用本文： | 李凤艳,石金传.一类非线性项含有导数的3阶边值问题的正解[J].江西师范大学学报(自然科学版),2016,40(4):349-353. |
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| 作者姓名： | 李凤艳 石金传 |
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| 作者单位： | 1.辽宁行政学院商务贸易系,辽宁 沈阳 110161; 2.沈阳化工大学科亚学院,辽宁 沈阳 110167 |
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| 摘 要： | 应用不动点指数的计算结果,证明了一类非线性项依赖于未知函数导数的3阶边值问题正解的存在性.这类边值问题具有与已有文献中所讨论问题不同的阶数、边值条件和奇异性,最后给出1个例子作为对所获得结果的应用.
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| 关 键 词： | 非线性项含有导数 3阶边值 正解 |
The Positive Solutions of a Class of Third-Order Boundary-Value Problems with Derivative Dependence |
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| LI Fengyan,SHI Jinchuan.The Positive Solutions of a Class of Third-Order Boundary-Value Problems with Derivative Dependence[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2016,40(4):349-353. |
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| Authors: | LI Fengyan SHI Jinchuan |
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| Institution: | 1.Department of Business and Trade,College of Liaoning Administration,Shenyang Liaoning 110161,China; 2.Keya College,Shenyang University of Chemical Technology,Shenyang Liaoning 110167,China |
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| Abstract: | By means of the methods of fixed point index computation,the existence of positive solutions of a class of third-order boundary-value problems with derivative dependence is proved.The boundary-value problems considered possess different order,boundary conditions and singularity from those in previous works.An example is given to apply the results obtained. |
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| Keywords: | derivative dependence third-order boundary-value positive solution |
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