非线性算子方程组解的存在唯一性及其应用  

Existence and Uniqueness of Solutions for Systems of Nonlinear Operator Equations with Applications

作　　者：邱忠华[1] 

机构地区：[1]齐鲁师范学院数学系,山东省济南市250013

出　　处：《曲阜师范大学学报（自然科学版）》2010年第4期65-69,共5页Journal of Qufu Normal University(Natural Science)

基　　金：山东省高等学校科技计划项目(J09LA55)

摘　　要：用半序的方法和锥理论,在不具有连续性和紧性的条件下讨论了Banach空间一类非单调算子方程组的解的存在唯一性及迭代收敛性,给出了此迭代的误差估计,并且应用到Hammerstein型积分方程中.By using the partial order method and theory of cone,we discuss the existence and uniqueness of solutions for a class of systems of non-monotone operator equations without any compactness or continuity conditions in Banach space,and the iteration sequences which converge to solution of operator equations and the error estimates are given.Finally,some applications to Hammerstein integral equation are also given.

关 键 词：算子方程组 半序方法 锥理论 迭代序列 

分 类 号：O177.91[理学—数学]