Existence and iteration of positive solutions for a three-point boundary value problem of second order integro-differential equation with p-Laplace operator

摘要

In the paper, we obtain the existence of positive solutions and establish a corresponding iterative scheme for the following three-point boundary value problem {l(f_p(u¢))¢(t)+q(t)f(u(t),u¢(t),Tu(t),Su(t))=0, 0 < t < 1,u¢(0)=au¢(h), u(1)=g(u¢(1)),left{begin{array}{l}(phi_p(u'))'(t)+q(t)fleft(u(t),u'(t),Tu(t),Su(t)right)=0,quad0 < t< 1,u'(0)=alpha u'(eta),quad u(1)=g(u'(1)),end{array}right.