# American Institute of Mathematical Sciences

June  2007, 6(2): 441-451. doi: 10.3934/cpaa.2007.6.441

## Positive solutions of semi-Positone Hammerstein integral equations and applications

 1 Department of Mathematics, Ryerson University, Toronto, Ontario, M5B 2K3, Canada

Received  April 2006 Revised  November 2006 Published  March 2007

Multiple positive solutions for semi-positone Hammerstein integral equations are investigated. This provides a general framework for studying the existence of positive solutions for some semi-positone boundary value problems which can be transferred into the Hammerstein integral equations. We apply the new results on the existence of one or two positive solutions of the semi-positone integral equations to treat the semi-positone conjugate boundary value problems (BVPs) as illustrations although there are many other BVPs which can be treated in the similar way. We provide two explicit examples of semi-positone conjugate BVPs to exhibit applications of our results on the existence of one or two positive solutions.
Citation: K. Q. Lan. Positive solutions of semi-Positone Hammerstein integral equations and applications. Communications on Pure & Applied Analysis, 2007, 6 (2) : 441-451. doi: 10.3934/cpaa.2007.6.441
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