节点文献
三点边值问题正解的存在性(英文)
Existence of Positive Solutions to Three-Point Boundary-Value Problems
【摘要】 给出了以下边值问题正解存在的充分条件,其中0<η<1,α>0,应用锥上的不动点定理证明在不同的假设条件下,以上边值问题仅有唯一正解,或有两个正解,或无数个正解.
【Abstract】 The paper presents sufficient conditions for the existence of positive solutions to the boundary-value problemWhere 0<η<1 and α>0. We show that it has at least one or two or infinitely many positive solutions under some assumptions by applying the fixed point theorem in cones.
【关键词】 二阶三点边值问题;
正解;
锥;
不动点定理;
【Key words】 second order tree-point BVP; positive solution i cone; fixed point theorem;
【Key words】 second order tree-point BVP; positive solution i cone; fixed point theorem;
- 【文献出处】 数学研究 ,Journal of Mathematical Study , 编辑部邮箱 ,2003年01期
- 【分类号】O175.8
- 【下载频次】44