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| Banach空间二阶微分方程的周期多解 | |
| 引用本文： | 孟海霞. Banach空间二阶微分方程的周期多解[J]. 西北师范大学学报(自然科学版), 2004, 40(1): 13-15 |
| 作者姓名： | 孟海霞 |
| 作者单位： | 西北师范大学数学与信息科学学院 甘肃兰州 730070 |
| 摘 要： | 利用锥映射的拓扑度理论与上、下解方法获得了有序Banach空间中二阶常微分方程周期边值问题的多解存在性定理. |
| 关 键 词： | 锥映射 周期解 正规锥 不动点 |
| 文章编号： | 1001-988X(2004)01-0013-03 |
| 修稿时间： | 2002-12-19 |
Periodic multiple solutions for second order differential equations in Banach spaces |
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| MENG Hai-xia. Periodic multiple solutions for second order differential equations in Banach spaces[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 2004, 40(1): 13-15 | |
| Authors: | MENG Hai-xia |
| Abstract: | Existence and multiplicity of periodic solutions are obtained by using cone mapping theory and supersolution and subsolution method for second order ordinary differential equations in ordered Banach spaces. |
| Keywords: | cone mapping periodic solution normal cone fixed point |
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