Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623422 | Journal of Mathematical Analysis and Applications | 2006 | 12 Pages |
Abstract
In this paper we consider the existence of positive solutions of the following boundary value problem:{(φ1(x′))′+a(t)f(x,y)=0,(φ2(y′))′+b(t)g(x,y)=0,t∈(0,1),αφ1(x(0))−βφ1(x′(0))=0,αφ2(y(0))−βφ2(y′(0))=0,γφ1(x(1))+μφ1(x′(1))=0,γφ2(y(1))+μφ2(y′(1))=0, where φ1,φ2:R→R are the increasing homeomorphism and positive homomorphism and φ1(0)=0φ1(0)=0, φ2(0)=0φ2(0)=0. We show the sufficient conditions for the existence of positive solutions by using the nome type cone expansion–expression fixed point theorem.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Baofang Liu, Jihui Zhang,