利用锥理论和Banach压缩映象原理,对一类二阶非线性微分方程边值问题做了研究,得到了C^2[0,1]迭代解的存在和唯一性,改进并推广了已有的一些结果.
By using the cone theory and Banach contraction mapping principle, the existence and uniqueness solution of C2 [ 0, 1 ] are established for second order boundary value problems. An example is then given to demonstrate the application of the main results.