Title: Multiple positive solutions of the singular boundary value problem for Sturm-Liouville equations with impulses
Authors: Xuxin Yang; Weibing Wang; Jianhua Shen
Addresses: Department of Mathematics, Hunan First Normal University, Changsha, Hunan 410205, China; Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FI-00014, Finland ' Department of Mathematics, Hunan University of Science and Technology, Xiangtan, Hunan 411201, China ' Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China
Abstract: We consider the existence of multiple positive solutions of the Singular Boundary Value Problem for Sturm-Liouville equations with impulses. By using a fixed-point index theorem of cone map, some existence and multiplicity results positive solutions are obtained. Our results improve and generalise those in some well-known results. Some examples are presented to demonstrate the application of our main results.
Keywords: singular boundary value problem; positive solutions; impulses; fixed point index theorem; Sturm-Liouville equations; cone map.
International Journal of Dynamical Systems and Differential Equations, 2012 Vol.4 No.4, pp.308 - 322
Available online: 25 Mar 2013 *Full-text access for editors Access for subscribers Purchase this article Comment on this article