%0 Journal Article
%T Uniqueness and parameter dependence of solutions of fourth-order four-point nonhomogeneous BVPs
%A Jian-Ping Sun
%A Xiao-Yun Wang
%J Electronic Journal of Differential Equations
%D 2010
%I Texas State University
%X In this article, we investigate the fourth-order four-point nonhomogeneous Sturm-Liouville boundary-value problem $$displaylines{ u^{(4)}(t)=f(t,u(t)),quad tin [0,1], cr alpha u(0)-eta u'(0)=gamma u(1)+delta u'(1)=0, cr au''(xi _1)-bu'''(xi _1)=-lambda ,quad cu''(xi _2)+du'''(xi _2)=-mu , }$$ where $0leq xi _1<xi _2leq 1$ and $lambda$ and $mu $ are nonnegative parameters. We obtain sufficient conditions for the existence and uniqueness of positive solutions. The dependence of the solution on the parameters $lambda$ and $mu$ is also studied.
%K Nonhomogeneous
%K fourth-order
%K four-point
%K Sturm-Liouville
%K boundary-value problem
%K positive solution
%K uniqueness
%K dependence on parameter
%U http://ejde.math.txstate.edu/Volumes/2010/84/abstr.html