Three Solutions Of An Nth Order Three-point Focal Type Boundary Problem

Consider the following differential equation u(n)(t)=F(t,u(t)),t∈[0,1] with the three-point focal type boundary condition u(i)(0)=0,0≤i≤m-1 u(m)(p)=0, u(j)(1)=0,m+1≤j≤n-1 wherep∈(1/2,1),n-mis odd.By using Fixed point theorem,we offer criteria for the exis-tence of three positive solutions of this problem.