Positive solutions for second-order m-point boundary value problems
详细信息 查看全文
- 作者：Guo ; Yanping ; Shan ; Wenrui ; Ge ; Weigao
- 关键词：34B15 ; Positive solution ; Schauder fixed point theorem ; m-Point boundary value problem
- 刊名：Journal of Computational and Applied Mathematics
- 出版年：2003
- 出版时间：February 15, 2003
- 年：2003
- 卷：151
- 期：2
- 页码：415-424
- 全文大小：132 K
文摘
By using the Schauder fixed point theorem and analysis method, we establish the existence of solutions for the m-point boundary value problem Formula Not Shown Formula Not Shown where b,ki>0(i=1,2,…,m−2),0<ξ1<ξ2<
<ξm−2<1, a(t) is allowed to be singular at t=0,1. Under some conditions, we show that there exists a positive number b* such that the problem has at least one positive solution for 0<b<b* and no solution for b>b*.
<ξm−2<1, a(t) is allowed to be singular at t=0,1. Under some conditions, we show that there exists a positive number b* such that the problem has at least one positive solution for 0<b<b* and no solution for b>b*.