摘要
本文首先将Ｎｅｗｔｏｎ方程周期边值问题转化为初值问题，然后在较弱的条件下利用微分连续法构造性地证明了该方程周期解的存在唯一性．证明方法同时也提供了一种计算该周期解的大范围收敛方法．
In this paper, the periodic boundary value problem of Newton equation is translated into an initial value problem, and with the use of the continuation method, the constructive proof of the existence and uniqueness of this problem is presented under a weaker condition. Meanwhile, the proof provides a global method for approximating the periodic solutions of Newton equation.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1998年第3期241-248,共8页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金
