Liapunov方法在非线性广义系统边值问题中的应用

APPLICATION OF LIAPUNOV METHOD TO THE SOLUTION OF BOUNDARY VALUE PROBLEMS IN THE SINGULAR NONLINEAR SYSTEMS

本文应用Ｌｉａｐｕｎｏｖ 方法讨论了非线性广义系统边值问题，通过将两点边值问题的解对结成三点边值问题的解，得到了三阶广义系统三点边值问题解的存在性和唯一性，推广了非线性正常微分系统的结果．

Based on Liapunov Function Method, the paper discusses the existence and uniqueness of the three-point boundary value problems in the third order singular nonlinear systems by matching the solutions to the two-point boundary value problems to those of the third-point boundary value problems. Thus, the application results are extended to normal systems.