ANZIAM  J.  45 (2004), 557-571

Positive solutions of singular nonlinear Sturm-Liouville boundary value problems

Yan Sun   Department of Mathematics   Qufu Normal University   Qufu, Shandong 273165   P. R. China   ysun@163169.net Lishan Liu   Department of Mathematics   Qufu Normal University   Qufu, Shandong 273165   P. R. China   lls@qfnu.edu.cn and Yeol Je Cho   Department of Mathematics Education   The Research Institute of Natural Sciences   College of Education   Gyeongsang National University   Chinju 660-701   Korea     yjcho@nongae.gsnu.ac.kr

Abstract

By using fixed point index theory, we present the existence of positive solutions for a Sturm-Liouville singular boundary value problem with at least one positive solution. Our results significantly extend and improve many known results even for non-singular cases.

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