Positive solvability of systems of nonlinear Hammerstein integral equations

Journal of Mathematical Analysis and Applications

Volumn 311, Issue 2, 2005, Pages 600-614

  Yang, Zhilin ^a   O'Regan, Donal ^b  

^a QINGDAO TECHNOLOGICAL UNIVERSITY   (China)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Boundary problem; Concave function; Cone; Fixed point; Positive solution; System of integral equations

Indexed keywords

EID: 25144443029     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.03.084     Document Type: Article

References (9)

1. A. Hammerstein Nichtlineare Integralgleichungen nebst Anwendungen Acta Math. 54 1929 117-176
2. D. Guo J. Sun Nonlinear Integral Equations 1987 Shandong Press of Science and Technology Jinan (in Chinese)
3. M.A. Krasnoselskii Topological Methods in the Theory of Nonlinear Integral Equations 1964 Pergamon Oxford
4. J. Sun X. Liu Computation for topological degree and its applications J. Math. Anal. Appl. 202 1996 785-796
5. Z. Zhang Existence of non-trivial solutions for superlinear systems of integral equations and applications Acta Math. Sinica 15 1999 153-162
6. J. Wang Existence of nontrivial solutions to nonlinear systems of Hammerstein integral equations and applications Indian J. Pure Appl. Math. 31 2001 1303-1311
7. D. Guo V. Lakshmikantham Nonlinear Problems in Abstract Cones 1988 Academic Press Boston
8. K. Deimling Nonlinear Functional Analysis 1985 Springer-Verlag
9. M.G. Krein M.A. Rutman Linear operators leaving invariant a cone in a Banach space Transl. Amer. Math. Soc. 10 1962 199-325