| 李红玉,孙经先,孙飞.非线性微分方程组边值问题的正解[J].数学年刊A辑,2012,33(3):329~340 |
| 非线性微分方程组边值问题的正解 |
| Positive Solutions to Boundary Value Problems of a System of Differential Equations |
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| DOI： |
| 中文关键词: 微分方程组 正解 H条件 |
| 英文关键词:System of differential equations, Positive solution, The condition H |
| 基金项目:国家自然科学基金，山东省自然科学基金，山东省博士基金 |
| Author Name | Affiliation | E-mail | | LI Hongyu | College of Information Science and Engineering, Shandong University of Science
and Technology, Qingdao 266590, Shandong, china | sdlhy1978@163.com | | SUN Jingxian | School of Mathematical Science, Xuzhou Normal University, Xuzhou 221116,
Jiangsu, china | jxsun7083@sohu.com | | SUN Fei | College of Information Science and Engineering, Shandong University of Science
and Technology, Qingdao 266590, Shandong, china | sunfei-1203@163.com |
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| 中文摘要: |
| 利用拓扑方法和不等式研究了一类非线性微分方程组边值问题的正解的存在性,给出了用线性算子的第一特征值来刻画的条件,推广和改进了现有文献中的结果. |
| 英文摘要: |
| By using the topological method, the authors investigate the existence of positive
solutions to boundary value problems of a system of differential equations. The hypothesis
characterized by the first eigenvalue of linear operator is given. The results obtained in this
paper improve and generalize many known results. |
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