Positive and Nontrivial Solutions for the Urysohn Integral Equation

作     者：Daniel FRANCO Gennaro INFANTE Donal O'REGAN 

作者机构：Departamentode Matemática AplicadaUniversidad Nacional de Educación a Distancia Dipartimentodi MatematicaUniversitàdella Calabria Department of MathematicsNational University of Ireland 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2006年第22卷第6期

页      面：1745-1750页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The first and third authors have been supported in part by Ministerio de Cienciay Tecnología(Spain)MTM2004-06652-C03-03 

主　　题：Urysohn integral equation positive solutions eigenvalues 

摘      要：We establish new criteria for the existence of either positive or nonzero solutions of the Urysohn integral equation. We also discuss the existence of an interval of positive eigenvalues and sufficient conditions for the existence of at least a positive eigenvalue with a nonzero or positive eigenfunction for the Urysohn integral operator. Among others, we employ techniques based on fixed point index theory for compact maps, which are new for this type of equation.