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一类微分方程组的非齐次Sturm-Liouville边值问题解的存在性
引用本文:李高尚,刘锡平,贾梅,李春岭,李芳菲.一类微分方程组的非齐次Sturm-Liouville边值问题解的存在性[J].应用泛函分析学报,2009,11(1):79-85.
作者姓名:李高尚  刘锡平  贾梅  李春岭  李芳菲
作者单位:1. 上海理工大学理学院,上海,200093;烟台南山学院理学院,龙口,265706
2. 上海理工大学理学院,上海,200093
摘    要:在允许非线性项变号的情况下,利用锥上不动点定理,讨论了一类二阶非线性微分方程组的非齐次Sturm-Liouville边值问题解的存在性,得到了至少一个解及正解存在的多个存在性定理.

关 键 词:Sturm-Liouville边值问题  不动点定理  正解  

The Existence of Solutions for Non-homogenous Sturm-Liouville Boundary Value Problems of a Class of Differential Equations
LI Gao-shang,LIU Xi-ping,JIA Mei,LI Chun-ling,LI Fang-fei.The Existence of Solutions for Non-homogenous Sturm-Liouville Boundary Value Problems of a Class of Differential Equations[J].Acta Analysis Functionalis Applicata,2009,11(1):79-85.
Authors:LI Gao-shang  LIU Xi-ping  JIA Mei  LI Chun-ling  LI Fang-fei
Institution:1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China 2. College of Science, Yantai Nanshan University, Longkou 265706, China)
Abstract:We consider existence of solutions for non-homogenous Sturm-Liouville boundary value problems of a class of second order differential equations, where we allow that the nonlinearities are sign-changing, and we use fixed point theorem in a cone to obtain the existence of nontrivial and positive solutions of them.
Keywords:Sturm-Liouville boundary value problems  fixed point theorem  positive solutions  cone
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