Triple positive solutions of a class of fourth-order two-point boundary value problems

In this paper, by using the Leggett–Williams fixed point theorem, we establish an existence criterion for triple positive solutions of the nonlinear fourth-order two-point boundary value problem {u(4)(t)=g(t)f(t,u(t),u′(t)),t∈(0,1)u(0)=u′(1)=u″(0)=u‴(1)=0. An example is also included to demonstrate the result we obtained.