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Applied Mathematics and Computation
Volume 144, Issues 2-3, 10 December 2003, Pages 543-556
 
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doi:10.1016/S0096-3003(02)00431-9    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2002 Elsevier Inc. All rights reserved.

Existence and unboundedness of positive solutions for singular boundary value problems on half-line*1

Yansheng LiuE-mail The Corresponding Author

Department of Mathematics, Shandong Normal University, Jinan, 250014, PR China

Available online 22 January 2003.

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Abstract

By constructing a special cone and using cone compression and expansion fixed point theorem, this paper presents some existence results of positive solutions of singular boundary value problem (BVP, for short) on half-line for a class of second order differential equations. At the same time, the boundedness and unboundedness of positive solutions for BVP are considered also.

Author Keywords: Singularity; Cone; Positive solution; Boundedness; Half-line

Article Outline

1. Introduction
2. Existence results
3. The boundedness and unboundedness of positive solutions for BVP (1.1)
References

 
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