中文摘要：

二阶非线性两点边值问题在应用数学、生物学、物理学等学科领域有着广泛的应用和重要的理论价值，打靶法是微分方程数值解的常用方法，特点是方法简单、精度高、实用性强。本文试图讨论一类二阶非线性两点的边值问题，先引入与证明相关的4个引理，然后将边值问题转化为初值问题，再运用打靶法研究证明这一类二阶非线性两点边值问题，最后证明其解的存在性和唯一性。

英文摘要：

The second-order nonlinear two-point BVPs has a wide range of applications in the field of applied mathematics, biology, physics and other disciplines and important theoretical value. Shooting method is a commonly used method for numerical solution of differential equations, for its simplicity, high precision and practicality. This paper attempts to discuss the type, such as a class of second order nonlinear two-point boundary value problem. Relevant four lemma was first introduced; secondly, the boundary value problem was converted into the initial value problem; thirdly, use the shooting method to study and prove the second-order nonlinear twopoint boundary value problem, and finally to prove the existence and uniqueness of the solution.