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一类半正二阶三点边值问题的解和多解性
引用本文:崔艳,李群.一类半正二阶三点边值问题的解和多解性[J].数学的实践与认识,2011,41(1).
作者姓名:崔艳  李群
作者单位:阜阳师范学院数学与计算科学学院,安徽阜阳,236000
摘    要:利用锥上的不动点定理,给出了非线性二阶三点边值问题解和多解的存在性定理.其中允许非线性项有一个负的下界.

关 键 词:三点边值问题  半正非线性  不动点定理

Solutions and Multiple Solutions of Semipositone Second-Order Three-Point Boundary Value Problems
CUI Yan,LI Qun.Solutions and Multiple Solutions of Semipositone Second-Order Three-Point Boundary Value Problems[J].Mathematics in Practice and Theory,2011,41(1).
Authors:CUI Yan  LI Qun
Abstract:By using a fixed point theorem in cones,the existence of solutions and multiple solutions is considered for a nonlinear second-order three-point boundary value problem where nonlinear term is allowed to have a negative loeer bound.
Keywords:three-point boundary value problem  semipositone nonlineaxity  fixed point theorem
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