Abstract: By using the monotone iterative technique, this article studies the existence of monotone positive solutions for fourth order boundary value problems with integral boundary conditions{u⁽⁴⁾(t)=f(t,u(t),u'(t)), t∈(0,1),u(0)=u'(1)=u(1)=0,u″(0)=∫¹₀g(t)u″(t)dt,where f:［0,1］×［0,+∞)2→［0,+∞) is continuous, g:［0,1］→［0,+∞) is continuous, not only the existence of the positive solution of the problem is obtained, but also the initial value of the iterative sequence is a simple zero function or a primary function.

Key words: fourth-order boundary value problem, integral boundary condition, monotone positive solution, existence, iterative technique