Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840809 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 10 Pages |
Abstract
In this paper we study the existence and multiplicity of positive solutions for the system of second order boundary value problems for nonlinear ordinary differential equations depending on first-order derivatives: −ui′′=fi(t,u1,u1′,…,un,un′),ui(0)=ui′(1)=0,i=1,…,n. Here n⩾2,fi∈C([0,1]×R+2n,R+)(R+:=[0,+∞)). Based on a priori estimates achieved by using integral inequalities and R+n-monotone matrices, we use fixed point index theory to establish our main results for the above problem.
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Authors
Zhilin Yang, Liang Kong,