Banach空间中非线性积分方程的一类极大、极小解  

A Class of Maximal and Minimal Solutions of Nonlinear Integral Equations in Banach Spaces

作　　者：林壮鹏[1] 万国华[1] 

机构地区：[1]深圳大学理学院数学系,深圳518060

出　　处：《工程数学学报》2000年第4期30-34,共5页Chinese Journal of Engineering Mathematics

摘　　要：建立了 Volterra型非线性积分方程的一类极大、极小解的概念 ,并给出这类方程存在极大、极小解的结论 ,它们是通常意义下极大、极小原理的推广。A class of maximal and minimal solutions of Volterra’s nonlinear integral equations is investigated,followed by the proof of the existence of this sort of solutions which is the extension of the maximal and maximal principles in common significance.

关 键 词：极大解 极小解 非线性积分方程 巴拿赫空间 

分 类 号：O175.5[理学—数学]