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Positive solvability of systems of nonlinear Hammerstein integral equations |
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| Authors: | Zhilin Yang Donal O'Regan |
| Affiliation: | a Department of Mathematics, Qingdao Technological University, No. 11 Fushun Road, Qingdao, Shandong Province, 266033, PR China b Department of Mathematics, National University of Ireland, Galway, Ireland |
| Abstract: | The paper deals with the existence of positive continuous solutions to systems of nonlinear Hammerstein integral equations. The main tool used in the proofs is fixed point index theory in a cone. The results obtained here are essentially different from existing ones in the literature. |
| Keywords: | System of integral equations Positive solution Fixed point Cone Boundary problem Concave function |
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