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

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.

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