极大单调算子的扰动定理及在微分方程上的应用  

The Perturbation Theory of Maximal Monotone Operator and Its Application to Differential Equation

作　　者：魏利[1] 

机构地区：[1]河北经贸大学数学与统计学学院应用数学教研室

出　　处：《数学的实践与认识》2006年第9期353-360,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10471033)

摘　　要：利用不动点定理,首先证明了在自反Banach空间中极大单调算子扰动的抽象结论,这些结论是对以往一些工作的推广;然后,利用文中的新结论讨论了一类微分方程解的存在性.By using the fixed point theorems, some abstract results of perturbations of maximal monotone operators in reflexive Banach space which are improvement of some previous works are given. Later, tbe existence of the solution of one kinds of differential equations is discussed by using the new results given in this paper.

关 键 词：极大单调算子 紧映射 demi连续映射 对偶映射 

分 类 号：O175.3[理学—数学]