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AF—代数的闭的Jordan理想
引用本文:吴畏. AF—代数的闭的Jordan理想[J]. 应用泛函分析学报, 2000, 2(3): 224-227
作者姓名:吴畏
作者单位:华东师范大学数学系,上海,200062
基金项目:Supported by the Youth Founctions of National Education Committee of China and the Committee on Science and Technology of Henan
摘    要:讨论AF-代数的闭的Jordan理想。我们证明了AF-代灵敏的一个闭的子集是其一Jordan理想的充分必要条件是它是一个结合理想。

关 键 词:AF-代数 JORDAN理想 矩阵单位 充要条件 结合理想

Multiple Solutions for a Class of Quasilinear Ordinary Differential Equations
WU Wei. Multiple Solutions for a Class of Quasilinear Ordinary Differential Equations[J]. Acta Analysis Functionalis Applicata, 2000, 2(3): 224-227
Authors:WU Wei
Affiliation:ZHANG Hui 1, GUO Zong|ming 2 1.Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,China 2.Department of Mathematics,Henan Normal University,Xinxiang Henan 453002,China
Abstract:It is shown that there are exactly two positive solutions for a class of quasilinear eigenvalue problems; one is a large solution, another one is a small solution. It is also proved that the small solution is a mountain pass solution and it develops to a peak solution when the parameter is large.
Keywords:eigenvalue problems  large solutions  small solutions  peak solutions  mountain pass solutions
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