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一类非线性二阶三点边值问题的解和正解
引用本文:崔艳,李群.一类非线性二阶三点边值问题的解和正解[J].应用数学,2008(Z1).
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;
基金项目:国家自然科学基金项目(19871048)
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正解的存在性定理.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 Second-order Three-point Boundary Value Problems
CUI Yan,LI Qun.Solutions and Multiple Solutions of Second-order Three-point Boundary Value Problems[J].Mathematica Applicata,2008(Z1).
Authors:CUI Yan  LI Qun
Institution:School of Mathematics and Computational Science;Fuyang Normal College;Fuyang 236000;China
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 lower bound.
Keywords:Three-point boundary value problem  Semipositone nonlinearity  Fixed point theorem  
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