摘要
证明了一类非线性常微分方程初值问题的解关于初始斜率的单调性,并在此基础上有效运用二分法对于此类非线性常微分方程值问题进行求解.
In this paper,we prove that the solution to a species of initial-value problem for second order nonlinear ordinary differential equation is strictly monotone for the initial slope. And we can efficiently use the dichotomy method to solve the boundary-value problem for this species of the second order nonlinear ordinary differential equation based on this teorem.
出处
《新疆大学学报（自然科学版）》
CAS
2005年第4期403-406,共4页
Journal of Xinjiang University(Natural Science Edition)
关键词
非线性
边值问题
二分法
Nonlinear
Boundary-Value problem
Dichotomy method
