| 一个典型弹性梁方程涉及第一特征值的正解 |
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| 引用本文： | 纪宏伟.一个典型弹性梁方程涉及第一特征值的正解[J].西南师范大学学报(自然科学版),2019,44(1):14-19. |
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| 作者姓名： | 纪宏伟 |
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| 作者单位： | 南通师范高等专科学校数理系 |
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| 基金项目： | 江苏省高校青蓝工程基金项目（2018）. |
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| 摘 要： | 运用锥理论和不动点指数方法,在与相应的线性算子第一特征值有关的条件下,获得了一个典型弹性梁方程正解的存在性,改进了相关文献的结论.
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| 关 键 词： | 弹性梁方程 正解 不动点指数 锥 |
| 收稿时间： | 2018/5/12 0:00:00 |
On Positive Solution of First Eigenvalue Involved in a Typical Elastic Beam Equation |
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| JI Hong-wei.On Positive Solution of First Eigenvalue Involved in a Typical Elastic Beam Equation[J].Journal of Southwest China Normal University(Natural Science),2019,44(1):14-19. |
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| Authors: | JI Hong-wei |
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| Institution: | Department of Mathematics and Physics, Nantong Teachers College, Nantong Jiangsu 226010, China |
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| Abstract: | By cone theory and in the fixed point index method, the existence of positive solutions of a typical elastic beam equation has been obtained under the condition of the first eigenvalue of the corresponding linear operator, and the conclusions of relevant literatures been improved. |
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| Keywords: | elastic beam equation positive solution fixed point index cone |
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