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Positive solutions of singular nonlinear Sturm-Liouville boundary value problems

Published online by Cambridge University Press:  17 February 2009

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

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 45 , Issue 4 , April 2004 , pp. 557 - 571
Copyright
Copyright © Australian Mathematical Society 2004

References

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