多值(S+)型映象的度理论*

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多值(S₊)型映象的度理论^*

基金项目: 国家教委留学回国人员基金;电力部教育基金

1.
Department of Mathematics, Changsha University of Electric Power, Changsha 410077, P. R. China;
2.
Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China

摘要: 本文的目的是推广张石生和陈玉清(多值(S)型映象度理论以及不动点定理)的结果.假设L是闭稠定线性极大单调映象,S是关于D(L)的(S₊)型多值映象,我们建立具有形式F=L+S的多值映象的拓扑度.
- 拓扑度多值映象存在性结果
Abstract: This paper is to generalize the results of Zhang and Chen[1].We constract a topological degree for a class of mappings of the form F=L+S where L is closed densety defined maximal monotone operator and S is a nonlinear multivalued map of class(S₊) with respect to the domain of L.
- topological degree

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[2]	F.E.Browder,Degree theory for nonlinear mappings,Proc.Sympos.Pure.Muth.,45,1(1986),203-226.
[3]	J.Berkovits and V.Mustonen,Topological degree for perturbations of linear maximal monotone mappings and applications to a class of parabolic problems,Re.Mat.,7,12(1992),597-621.
[4]	张恭庆,《临界点理论及其应用》,上海科学技术出版社(1986).
[5]	E.Zeidler,Nonlinear Functional Analysis and Its Applications,Ⅱ A and Ⅱ B,Springer,New York(1990).