| 非线性特征值问题的正解 |
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| 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, 0(2) |
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| 作者姓名： | 毛安民 栾世霞 |
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| 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) |
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| 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. |
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| 摘 要： | 本文着重考察非线性特征值问题u"+λg(t)f(u)=0, 0
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| 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 |
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| MAO Anmin LUAN Shixia. POSITIVE SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS[J]. Chinese Annals of Mathematics, 2003, 0(2) |
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| Authors: | MAO Anmin LUAN Shixia |
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| Affiliation: | MAO Anmin LUAN ShixiaDepartment of Mathematics,Qufu Normal University,Qufu 273165,Shandong,China. E-mail: maoam@yeah.netInstitute of Mathematics,Academy of Mathematics and Systems Sciences,Chinese Academy of Sciences,Beijing 100080,China. |
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| Abstract: | This paper investigates nonlinear eigenvalue problemWithout any monotone-type assumption, the nonnegative solution of the equation is obtained. The result improves and extends many recent results. |
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| Keywords: | Nonlinear eigenvalue equations Fixed point index Positive solution Cone |
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