摘要
在Banach空间中,利用半序方法讨论了一类抽象算子方程组解的存在唯一性,推广和统一了以前的一些结果,然后应用到Banach空间非线性积分方程组,得到了方程组的唯一解,构造了收敛于方程组唯一解的迭代序列并给出了相应的误差估计。
In this paper, by using partial order method, the existence and uniqueness of solutions for systems of a class of abstract operator equations in Banach spaces are studied. The results obtained in this paper improve and unify many recent results. Applications to the system of nonlinear integral equations in Banach space are given. It is proved that the unique solution exists by the iterative sequence which converges to the unique solution is constructed and the error estimate is given.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2007年第3期449-455,共7页
Acta Mathematica Scientia
基金
国家自然科学基金(10471075
10271035)
高等学校博士点专项基金(20060446001)资助
关键词
抽象算子方程组
唯一解
迭代序列
积分方程组
Systems of abstract operator equations
Unique solution
Iterative sequences
Systems of integral
