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| 经由上下解逼近二阶微分方程解的存在性 | |
| 引用本文： | 黄灿云,陈建文,惠富春.经由上下解逼近二阶微分方程解的存在性[J].兰州大学学报(自然科学版),2003,39(4):11-14. |
| 作者姓名： | 黄灿云 陈建文 惠富春 |
| 作者单位： | 1. 兰州理工大学,理学院,甘肃,兰州,730050;兰州大学,数学系,甘肃,兰州,730000 2. 兰州大学,数学系,甘肃,兰州,730000 3. 兰州理工大学,理学院,甘肃,兰州,730050 |
| 基金项目： | Supported by Natural Science Foundation of Gansu Province( ZS0 2 2 -A2 5 -0 1 1 ) and Key Research and Development Program for Outstanding Groups of Gansu Unistersity of Technology |
| 摘 要： | 讨论了奇异初值边界问题。通过用一列非奇异问题且利用这一列问题算子拓扑度与上下解的关系，去逼近所讨论的奇异初值边界问题，得到解的存在性结果。 |
| 关 键 词： | 上下解 逆序 拓扑度 逼近 |
Existence of solutions for second order differential equation via the upper and lower solutions approach |
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| Abstract.Existence of solutions for second order differential equation via the upper and lower solutions approach[J].Journal of Lanzhou University(Natural Science),2003,39(4):11-14. | |
| Authors: | Abstract |
| Abstract: | The singular initial and boundary value problems have been considered.We approach our singular problem by a sequence of non singular problems and use the relation between the topological degree of the operator associated with the above problems and the strict upper and lower solutions,to obtain the existence results. |
| Keywords: | lower and upper solutions opposite order topological degree approximation |
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