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(2010.08.17 10:30am,S509)Multiple positive solutions of Hammerstein integral equations with applications to fractional differential equations
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Update time: 2010-08-16
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Academy of Mathematics and Systems Science, CAS

Colloquia & Seminars

Speaker:

Prof. Kunquan Lan

Department of Mathematics, Ryerson University, Canada

 

Title:

Multiple positive solutions of Hammerstein integral equations with applications to fractional differential equations

Time:

 

2010.8.17  10:30-11:30am

 

Venue:
Room: S509
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
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