%0 Journal Article
%T Existence of Positive Solutions of Fourth-Order Problems with Integral Boundary Conditions
%A Ruyun Ma
%A Tianlan Chen
%J Boundary Value Problems
%D 2011
%I Springer
%R 10.1155/2011/297578
%X We study the existence of positive solutions of the following fourth-order boundary value problem with integral boundary conditions, u(4)(t)=f(t,u(t),u¡ä¡ä(t)), t¡Ê(0,1), u(0)=¡Ò01g(s)u(s)ds, u(1)=0, u¡ä¡ä(0)=¡Ò01h(s)u¡ä¡ä(s)ds, u¡ä¡ä(1)=0, where f:[0,1]¡Á[0,+¡Þ)¡Á(-¡Þ,0]¡ú[0,+¡Þ) is continuous, g,h¡ÊL1[0,1] are nonnegative. The proof of our main result is based upon the Krein-Rutman theorem and the global bifurcation techniques.
%U http://dx.doi.org/10.1155/2011/297578