一类Lipschitz算子方程的解及其应用  

The Solution to a Class of Lipschitz Operator Equation and Its Application

作　　者：何光[1] 

机构地区：[1]四川省高等学校数值仿真重点实验室//内江师范学院数学与信息科学学院,四川内江641100

出　　处：《内江师范学院学报》2009年第12期24-26,共3页Journal of Neijiang Normal University

基　　金：四川省教育厅青年项目(07ZB111)

摘　　要：运用非线性Lipschitz对偶算子的性质,并结合算子谱半径的概念,得到了一类Lipschitz算子方程Tx=Sx解的存在性定理,并将其应用到一类连续可微算子方程中.By applying the characteristics of the nonlinear Lipschitz dual operator and in combination with the notion of spectral radius, the existence theorem of the solution to a class of Lipschitz operator equationTx= Sx is obtained. As a case of application, the conclusion is applied to a class of continuous differentiable operator equations.

关 键 词：Lipschitz算子 谱半径 Lipschitz对偶算子 

分 类 号：O177[理学—数学]