Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633566 | Applied Mathematics and Computation | 2008 | 6 Pages |
Abstract
In this paper, we study the existence of positive solutions of nth order m-point boundary value problemu(n)(t)+a(t)f(u(t))=0,tâ(0,1),u(0)=uâ²(0)=â¯=u(n-2)(0)=0,u(1)=âi=1m-2αiu(ηi),where n⩾2, m>2, 0<η1<η2<â¯<ηm-2<1,αi>0(i=1,2,â¦,m-2) with âi=1m-2αiηin-1<1. We obtained the existence of positive solutions by using the fixed point theorems of cone expansion and compression of norm type. The results obtained in this paper essentially improve and generalize some well-known results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jingbao Yang, Zhongli Wei,