THE NUMBER OF NONTRIVIAL SOLUTIONS OF HAMMERSTEIN INTEGRAL EQUATIONS AND THEIR APPLICATIONS

作     者：郭大钧 GUO DAJUN (Shandong University, Jinan)

作者机构：. We use the Leray-Schauder degree theory to investigate the number of nontrivial solutions of the Hammerstein integral equation (1) where G is a bounded closed domain in Euclidean space R~N and function f(u) is nonnegative and continuous for 0≤u<+∞ and f(0)=0. Obviously φ(x)≡0 is a 

出 版 物：《Chinese Science Bulletin》 (科学通报(英文版))

年 卷 期：1982年第27卷第7期

页      面：694-698页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：continuation nontrivial nonnegative Euclidean ordinary elementary quasi 翁洲 readily uniformly 

摘      要：This paper is a continuation of (la)We use the Leray-Schauder degree theory to investigate the number of nontrivial solutions of the Hammerstein integral equation (1) where G is a bounded closed domain in Euclidean space R^N and function f(u) is nonnegative and continuous for 0≤u+∞ and f(0)=0. Obviously, φ(x)≡0 is