Uniqueness and parameter dependence of solutions of fourth-order four-point nonhomogeneous BVPs

In this article, we investigate the fourth-order four-point nonhomogeneous Sturm-Liouville boundary-value problem $$displaylines{ u^{(4)}(t)=f(t,u(t)),quad tin [0,1], cr alpha u(0)-eta u'(0)=gamma u(1)+delta u'(1)=0, cr au''(xi _1)-bu'''(xi _1)=-lambda ,quad cu''(xi _2)+du'''(xi _2)=-mu , }$$ where $0leq xi _1