一类含非紧映象方程的正解

兰坤泉; 丁协平

一类含非紧映象方程的正解

四川师范大学数学系

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出版历程
- 收稿日期: 1987-06-12
- 刊出日期: 1988-08-15

Positive Solution of a Class of Equations Involving Noncompact Mappings

Sichuan Normal University, Chengdu

摘要

摘要: 本文定义了从一个Banach空间的相对开子集到另一个Banach空间的A-proper映象的广义相对拓扑度并且引入了广义P-紧和P₁-紧概念.其次,我们证明了含这些映象的方程的正解存在性定理.我们的定理改进和推广了最近的一些结果.

Abstract: In this paper,we define a generalized relative degree for A-proper mappings from a relative open subset of a Banach space into another Banach space and introduce the concepts of generalized P-compact and P₁-compact mappings.Next,we show several existence theorems of positive solutions for the equations involving these mappings.Our theorems improve and extend some recent results.

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参考文献(15)

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