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一类奇异非线性三点边值问题的多重正解
引用本文:高岩,朱宗元,桑彦彬.一类奇异非线性三点边值问题的多重正解[J].应用泛函分析学报,2007,9(2):133-139.
作者姓名:高岩  朱宗元  桑彦彬
作者单位:1. 曲阜师范大学,数学科学学院,曲阜,273165
2. 泰山医学院,管理学院,泰安,271016
3. 中北大学,数学系,太原,030051
摘    要:利用锥映射的不动点指数定理,建立了一类奇异三点边值问题多个正解的存在性定理.改进和推广了相关结果.

关 键 词:奇异三点边值问题  不动点指数定理  正解
文章编号:1009-1327(2007)02-0133-07
修稿时间:2004-05-17

The Multiple Positive Solutions for a Class of Singular Nonlinear Three-Point Boundary Value Problem
GAO Yan,ZHU Zong-yuan,SANG Yan-bin.The Multiple Positive Solutions for a Class of Singular Nonlinear Three-Point Boundary Value Problem[J].Acta Analysis Functionalis Applicata,2007,9(2):133-139.
Authors:GAO Yan  ZHU Zong-yuan  SANG Yan-bin
Abstract:This paper establishes the existence of multiple positive solutions of a class of singular nonlinear three-point boundary value problems by means of the fixed point index theorem on cones.The results presented in this paper essentially improve and generalize the known results.
Keywords:singular three-point boundary value problems  fixed point index theorem  positive solutions
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