具变号非线性项二阶m点边值问题的2个正解  

Double positive solutions for second-order m-point boundary value problems with sign changing nonlinearity

作　　者：沈春芳[1] 杨刘[1,2] 

机构地区：[1]合肥师范学院数学系,安徽合肥230061 [2]上海理工大学管理学院,上海200093

出　　处：《合肥工业大学学报（自然科学版）》2010年第10期1597-1600,共4页Journal of Hefei University of Technology：Natural Science

基　　金：安徽省教育厅高等学校自然科学研究资助项目(Kj2010B163)

摘　　要：文章考虑2类具有变号非线性项二阶微分方程多点边值问题正解的存在性。由于非线性项变号,对应的解不具有凸性,已有文献的结果不适用于该文讨论的问题。文中应用双锥上的不动点定理及分析技巧,克服非线性项变号带来的困难,建立了正解的存在性结果,并给出了所讨论问题对应的Green函数。This paper focuses on the existence of double positive solutions for m-point boundary value problems of second-order differential equations with sign changing nonlinearity.With the sign changing of nonlinear terms,the corresponding solution indicates non-convexity,so the known results of literature can not be applicable to the presented issue in the paper.By using the fixed point theorem in dual-cones and analytical technique,sufficient conditions to ensure the existence of double positive solutions for second-order m-point boundary value problems are obtained.The associated Green functions are also given.

关 键 词：二阶M点边值问题 不动点 正解 

分 类 号：O175.8[理学—数学]