Existence and uniqueness of solutions for nth-order nonlinear two-point boundary value problems

摘要

In this paper, we present some general results of existence and uniqueness of solutions for nth-order nonlinear two-point boundary value problems by using Shooting method together with Maximum principle and Kneser–Hukahara Continuum theorem. As applications, we give certain concrete sufficient conditions for the existence and uniqueness of solutions of nonlinear two-point boundary value problems of nth-order Lipschitz equations.