具有变号非线性项的二阶三点边值问题的两个正解  

TWO POSITIVE SOLUTIONS FOR SECOND ORDERTHREE POINT BOUNDARY VALUE PROBLEMS WITHSIGN CHANGING NONLINEARITIES

作　　者：郭彦平[1] 葛渭高[2] 董士杰[3] 

机构地区：[1]河北科技大学理学院 [2]北京理工大学应用数学系,北京100081 [3]军械工程学院基础部,石家庄050003

出　　处：《应用数学学报》2004年第3期522-529,共8页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(10371030号);河北省教育厅科研基金(2003216号)资助项目.

摘　　要：本文首先证明双锥上的一个不动点定理,并通过该定理研究一类具有变号非线性项的二阶三点边值问题两个正解的存在性.同时,该三点边值问题相关的Green函数也被给出.In this paper we prove at first a fixed point theorem in double cones, and discuss the existence of two positive solutions for a class of second order three point boundary value problems with sign changing nonlinearities by using the theorem. At the same time, the associated Green's function is also given for the three point boundary value problems.

关 键 词：三点边值问题 不动点定理 正解 锥 GREEN函数 常微分方程 

分 类 号：O175.1[理学—数学]