| 非线性特征值问题的正解 |
| |
| 引用本文： | 毛安民,栾世霞.非线性特征值问题的正解[J].数学年刊A辑(中文版),2003(2). |
| |
| 作者姓名： | 毛安民 栾世霞 |
| |
| 作者单位： | 曲阜师范大学数学系 山东曲阜273165.
(毛安民),中国科学院数学与系统科学研究院数学研究所 北京100080.(栾世霞) |
| |
| 基金项目： | 国家自然科学基金(No.19871048),山东省自然科学基金(No.Y2001A03,No.Z2000A02),山东省优秀中青年科学家科研奖励基金(No.02BS119)资助的项目. |
| |
| 摘 要： | 本文着重考察非线性特征值问题u"+λg(t)f(u)=0, 0
|
| 关 键 词： | 非线性特征值方程 不动点指数 正解 锥 |
POSITIVE SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS |
| |
| MAO Anmin LUAN Shixia.POSITIVE SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS[J].Chinese Annals of Mathematics,2003(2). |
| |
| Authors: | MAO Anmin LUAN Shixia |
| |
| Institution: | MAO Anmin LUAN Shixia
Department of Mathematics,Qufu Normal University,Qufu 273165,Shandong,China. E-mail: maoam@yeah.net
Institute of Mathematics,Academy of Mathematics and Systems Sciences,Chinese Academy of Sciences,Beijing 100080,China. |
| |
| Abstract: | This paper investigates nonlinear eigenvalue problem
Without any monotone-type assumption, the nonnegative solution of the equation is obtained. The result improves and extends many recent results. |
| |
| Keywords: | Nonlinear eigenvalue equations Fixed point index Positive solution Cone |
| 本文献已被 CNKI 等数据库收录！ |
