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研究了二阶脉冲微分方程的三点边值问题的非平凡解的存在性.在非线性函数给定的增长条件下,利用Leray-Schauder非线性迭代法,获得了非平凡解存在的充分条件,并举例阐述了主要结果.“,”The existence of nontrivial solutions for the second-order three-point boundary value problem with impulses is studied.Under certain growth conditions on the nonlinearity function and by using Leray-Schauder nonlinear ahemative,suffcient conditions for the existence of nontrivial solution are obtained.Furthermore,some examples are given to illustrate the main results.