摘要
本文定义了二阶微分方程的弱 Carathéodory解 ,在不涉及紧型条件的情形下 ,直接用迭代法证明了 Banach空间二阶非线性常微分方程两点边值问题存在唯一解 ,并给出逼近解迭代序列的误差估计 。
We definite weak Carathéodry solutions of secon d o rder differential equations. The compact conditions not used, we get unique weak Carathéodory solution of two point boundary value problems for nonlinear secon d order differential equations in Banach Spaces by way of iterative method and t he error estimate of the itertive sequence of approximation solution. And also w e get the similar result to periodic boundary value problems.
出处
《工科数学》
2002年第3期9-12,共4页
Journal of Mathematics For Technology
基金
安徽省自然科学基金资助项目 (2 0 0 0 j1 2 3 6)
