应用同伦映射讨论算子方程解的存在性  

USING HOMOTOPIC MAPPING TO STUDY EXISTENDE OF SOLUTIONS OF OPERTOR EQUATION

作　　者：陈文虎[1] 郭爱主 

机构地区：[1]湖南教育学院,岳阳市师范学校

出　　处：《湖南教育学院学报》1996年第2期15-18,共4页Journal of Hunan Educational Institute

摘　　要：本文应用凝聚场拓扩度的同伦不变性，讨论某些具有边界条件的算子方程解的存在性。In this paper the invariance of homotopy of topological degree of field of condensing mappings is used to study the existence of solutions of some opentor equations with a boundary condition.Thereby Some generalixation of Altman's theorem and the principle of acute angle of condensing mapping in the Hilbert space.

关 键 词：凝聚场 算子方程 解 同伦映射 存在性 

分 类 号：O177.6[理学—数学]