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| Sturm-Liouville算子方程边值问题的最小极值解 | |
| 引用本文： | 陶玉娟,王辉,刘莉. Sturm-Liouville算子方程边值问题的最小极值解[J]. 数学的实践与认识, 2005, 35(2): 208-214 |
| 作者姓名： | 陶玉娟 王辉 刘莉 |
| 作者单位： | 1. 哈尔滨师范大学呼兰学院数学系,黑龙江,呼兰,150500 2. 哈尔滨师范大学数学系,黑龙江,哈尔滨,150080 |
| 基金项目： | 国家自然科学基金项目，黑龙江省教育厅科研项目资助 (1 0 5 43 0 5 5 ) |
| 摘 要： | 利用 Banach空间中度量广义逆理论 ,证明了 LP(a,b)空间中 Sturm-Liouville算子方程边值问题最小极值解的存在性 ,并借助 Banach空间几何方法给出了最小极值解存在的等价条件 |
| 关 键 词： | Sturm-Liouville算子 最小极值解 度量广义逆 |
| 修稿时间： | 2004-10-15 |
Least Extremal Solutions of Sturm-Liouville Operator Equation Boundary Value Problem |
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| TAO Yu-juan,WANG Hui,LIU Li. Least Extremal Solutions of Sturm-Liouville Operator Equation Boundary Value Problem[J]. Mathematics in Practice and Theory, 2005, 35(2): 208-214 | |
| Authors: | TAO Yu-juan WANG Hui LIU Li |
| Affiliation: | TAO Yu-juan1,WANG Hui2,LIU Li1 |
| Abstract: | The existence of the least extremal solution of Sturm Liouville operator equation boundary value problem in Lp(a, b) space is proved by using metric generalized inverse in Banach space. The equivalent condition under which the least extremal solution exists is given by means of geometry method of Banach space. |
| Keywords: | Sturm-Liouville operator least extrmal solution metric generalized inverse |
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