一类非线性三阶两点边值问题的三重正解  

Triple Positive Solutions to a Class of Nonlinear Third-order Two-point Boundary Value Problems

作　　者：姚庆六[1] 

机构地区：[1]南京财经大学应用数学系,江苏南京210003

出　　处：《滨州学院学报》2014年第3期1-5,共5页Journal of Binzhou University

基　　金：国家自然科学基金资助项目(11071109)

摘　　要：根据非线性项函数的增长与相应积分方程的特性构造了高度函数,利用高度函数的积分给出了一类非线性三阶两点边值问题解的先验界及三个正解的存在性。By the growth of the nonlinear function and the properties of the corresponding integral equation,the height functions are constructed.With the integrals of the height functions,the apriori bound of solution is given and the existence of triple positive solutions is proved for a class of nonlinear thirdorder two-point boundary value problems.

关 键 词：非线性常微分方程 边值问题 三重正解 Caratheodory奇异性 

分 类 号：O175.14[理学—数学]