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Multiple positive solutions of Hammerstein integral equations with applications to fractional differential equations (Kuanquan Lan)
发表时间:2011-11-28 阅读次数:1050次

Speaker: Kuanquan Lan (Department of Mathematics, Ryerson University) 

 

Time: 14:00 p.m.,April 29, 2010

Venue: Room 1801, East Guanghua Tower

Abstract:

In the talk, I first briefly present properties of the classical fixed point index for compact maps defined on cones in Banach spaces and then compute the fixed point indices for some Hammerstein integral operators. Results on the existence of one or several positive solutions for Hammerstein integral equations are derived from these results of fixed point indices. Finally, I apply these existence results to some fractional differential equations with two-point boundary conditions, some of which arise in physics and applied mathematics. 

 


 

 

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