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
Affiliation:
Appendix:
Copyright@2008, All Rights Reserved, Academy of Mathematics and Systems Science, CAS
Tel: 86-10-82541777 Fax: 86-10-82541972 E-mail: contact@amss.ac.cn