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doi:10.1016/S0022-247X(03)00493-1 
Copyright © 2003 Elsevier Inc. All rights reserved.
Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces*1
Received 4 June 2003.
Submitted by William F. Ames
Available online 6 September 2003.
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Abstract
The existence of multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces is discussed in this paper. Our nonlinearity may be singular in its dependent variable and our analysis relies on a nonlinear alternative of Leray–Schauder type and on a fixed point theorem in cones.
Author Keywords: Superlinear singular periodic problem; Positive solution; Leray–Schauder alternative; Fixed point theorem in cones
