摘要
以两端简单支撑的弹性梁的平衡状态为特例,研究了一类二阶Fredholm型积 微分方程两点边值问题最小解和最大解的存在性及求解的单调迭代方法.
In this paper, we discuss the existence of solution for the second order boundary value problem of integro-differential equations and its applications for fourth-order two-point boundary value problem. We make use of monotone iterative techniques and obtain its extremal solutions under weak conditions and give a corresponding application for fourth-order problems.
出处
《宁夏大学学报(自然科学版)》
CAS
2003年第4期313-315,共3页
Journal of Ningxia University(Natural Science Edition)
关键词
边值问题
单调迭代法
Fredholm型积-微分方程
最小解
最大解
integro-differential equations
fourth-order differential equations
boundary value problems
monotone iterative techniques