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Journal of Mathematical Analysis and Applications
Volume 286, Issue 1, 1 October 2003, Pages 248-260
 
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doi:10.1016/S0022-247X(03)00478-5    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2003 Elsevier Inc. All rights reserved.

Twin solutions to singular semipositone problems*1

Yansheng LiuE-mail The Corresponding Author

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

Received 26 June 2001. 
Submitted by R. Manásevich 
Available online 23 August 2003.

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Abstract

In this paper, by a specially constructed cone and the fixed point index theory, we investigate the existence of multiple positive solutions for the following singular semipositone problem:

Image
The nonlinear term f(t,y) may be singular at t=0, t=1, and y=0, also may be negative for some values of t and y; and λ is a positive parameter.

Author Keywords: Multiple positive solutions; Singular semipositone problem; Fixed point index; Cone


 
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