Existence results for a generalized nonlinear Hammerstein equation on L1 spaces

被引：49

作者：

Latrach, Khalid

Taoudi, M. Aziz

机构：

[1] Univ Clermont Ferrand, Lab Math, CNRS, UMR 6620, F-63117 Aubiere, France

[2] Fac Sci Semlalia, Dept Math, Marrakech 40000, Morocco

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 10期

关键词：

fixed point theorems; measure of weak noncompactness; nonlinear Hammerstein equations;

D O I：

10.1016/j.na.2006.03.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we are concerned with existence results for a nonlinear Hammerstein integral equation acting on L-1 vector valued functions. Making use of the De Blasi measure of weak noncompactness we establish a variant of the topological fixed point theorem of Krasnosel' skii for the sum of two operators without requiring weak compactness or weak continuity assumptions. Such a result provides an adequate tool for deriving an existence theory for problem (1. 1). (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：2325 / 2333

页数：9

共 18 条

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