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四阶奇异边值问题两个正解的存在性
引用本文:邹玉梅.四阶奇异边值问题两个正解的存在性[J].数学研究,2011,44(1):60-68.
作者姓名:邹玉梅
作者单位:山东科技大学信息科学与工程学院,山东,青岛,266510
基金项目:国家自然科学基金资助项目,山东省优秀中青年科学家科研奖励基金
摘    要:利用e-范数和锥上的不动点定理,给出了四阶微分方程奇异边值问题两个C20,1]和C30,1]正解的存在性.

关 键 词:奇异边值间题  正解  e-范数

The Existence of Two Positive Solutions of Singular Boundary Value Problem of Fourth Order Differential Equations
Zou Yumei.The Existence of Two Positive Solutions of Singular Boundary Value Problem of Fourth Order Differential Equations[J].Journal of Mathematical Study,2011,44(1):60-68.
Authors:Zou Yumei
Institution:Zou Yumei (College of Information Science and Engineering,Shandong University of Science and Technology,Qingdao Shandong 266510)
Abstract:The existence of two C~20,1]positive solutions as well as C~30,1]positive solutions is established for a singular boundary value problem of fourth order differential equations by using the fixed pointed theorems in cones and the e-Norm.
Keywords:Singular boundary value problem  Positive solution  e-Norm  
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