Three positive solutions for second-order m-point boundary value problems

For the second-order m-point boundary value problemu^''(t)+f(t,u)=0,0=0(i=1,2,...,m-2), 0<@x"1<@x"2<...<@x"m"-"2<1, growth conditions are imposed on f which yield the existence of at least three positive solutions by using the Leggett-Williams fixed point theorem. The associated Green's function for the m-point boundary value problem is also given.