Unbounded solutions for singular boundary value problems on the semi-infinite interval: upper and lower solutions and multiplicity

Authors:
Baoqiang Yan;Donal O'Regan;Ravi P. Agarwal
Affiliations:
Department of Mathematics, Shandong Normal University, Ji-nan, PR China;Department of Mathematics, National University of Ireland, Galway, Ireland;Department of Mathematical Science, Florida Institute of Technology, Melbourne, FL
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

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Abstract

This paper presents a lower and upper solution technique for singular second-order boundary value problems on the half-line and discusses sufficient and necessary conditions for the existence of positive solutions. Also multiplicity is discussed using the fixed point index.