Positive and Nontrivial Solutions for the Urysohn Integral Equation

被引：0
作者：
Daniel Franco
Gennaro Infante
Donal O’regan
机构：
[1] Universidad Nacional de Educación a Distancia,Departamento de Matemática Aplicada
[2] Università della Calabria,Dipartimento di Matematica
[3] National University of Ireland,Department of Mathematics
来源：
Acta Mathematica Sinica | 2006年 / 22卷
关键词：
Urysohn integral equation; positive solutions; eigenvalues; 45G10; 47H10; 47H30;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：1745 / 1750
页数：5
相关论文
共 17 条
[1]  
Urysohn undefined(1924)undefined Mat. Sb. 31 236-undefined
[2]  
Appell undefined(1991)undefined Numer. Funct. Anal. Optim. 12 271-undefined
[3]  
Appell undefined(1997)undefined Numer. Funct. Anal. Optim. 18 1-undefined
[4]  
Pachpatte undefined(1984)undefined J. Integral Equations 6 119-undefined
[5]  
O’Regan undefined(1998)undefined J. Appl. Math. Stochastic Anal. 11 449-undefined
[6]  
Darwish undefined(2003)undefined Appl. Math. Comput. 136 93-undefined
[7]  
El–Sayed undefined(2003)undefined Appl. Math. Comput. 145 487-undefined
[8]  
Joshi undefined(1975)undefined Proc. Amer. Math. Soc. 49 387-undefined
[9]  
Kolomý undefined(1967)undefined Comment. Math. Univ. Carolinae 8 273-undefined
[10]  
Atkinson undefined(1987)undefined SIAM J. Numer. Anal. 24 1352-undefined
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