摘要
本文考虑Banach空间中非线性积分 -微分方程的周期边值问题 ,利用抽象锥、推广了的比较定理及非线性算子的不动点定理 ,构造出两个单调迭代序列 ,证明了Banach空间中非线性积分 -微分方程具有周期边值的最小解、最大解存在定理。
By using the concept of abstract cone,improved comparable theorem and fixed point theorem of nonlinear operator and by discussing the periodic boundary condition of nonlinear integral differential equation in Banach spaces,this paper gave two monotonic iterative sequences,also verified the minimum and maximum theorem for nonlinear integral differential equation with periodic boundary condition in Banach spaces.
出处
《洛阳工学院学报》
2001年第2期78-82,共5页
Journal of Luoyang Institute of Technology
