| 四阶奇异微分方程边值问题的多重正解 |
| |
| 引用本文： | 王颖,孙钦福,李翠兰. 四阶奇异微分方程边值问题的多重正解[J]. 吉首大学学报(自然科学版), 2009, 30(3): 11-16 |
| |
| 作者姓名： | 王颖 孙钦福 李翠兰 |
| |
| 作者单位： | 临沂师范学院数学系,山东,临沂,276005;曲阜师范大学数学科学学院,山东,曲阜,273165;曲阜师范学校兖州校区,山东,兖州,272100 |
| |
| 基金项目： | 国家自然科学基金资助项目 |
| |
| 摘 要： | 利用锥上的不动点指数原理研究了一类四阶奇异微分方程边值问题正解及多重正解的存在性,得到当参数λ属于某一区间时,算子方程x(t)=λAx(t)正解的存在性理论.
|
| 关 键 词： | 奇异边值问题 不动点指数 多重正解 锥 |
Muliple Positive Solutions of Fourth Order Singular Differential Equation with Boundary Counditions |
| |
| WANG Ying,SUN Qin-fu,LI Cui-lan. Muliple Positive Solutions of Fourth Order Singular Differential Equation with Boundary Counditions[J]. Journal of Jishou University(Natural Science Edition), 2009, 30(3): 11-16 |
| |
| Authors: | WANG Ying SUN Qin-fu LI Cui-lan |
| |
| Affiliation: | (1.Deparment of Mathematics,Linyi Normal University,Linyi 276005,Shandong China;2.College of Mathematics Science,Qufu Normal University,Qufu 273165,Shandong China;3.Yanzhou Campus of Qufu Normal School,Yanzhou 272100,Shandong China) |
| |
| Abstract: | By using the fixed point index theory,the author discusses the existence of positive and mutiple positive solutions of fourth order singular differential equation with boundary counditions,and obtains the results with the operator equation x(t)=λ Ax(t),when λ in some interval.The results significantly extend and improve many known results even for non-singular cases. |
| |
| Keywords: | singular boundary value problem fixed point index mutiple positive solutions cone |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《吉首大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《吉首大学学报(自然科学版)》下载全文 |
|
