Solutions in weighted spaces of singular boundary value problems on the half-line

Authors:
Donal O'Regan;Baoqiang Yan;Ravi. P. Agarwal
Affiliations:
Department of Mathematics, National University of Ireland, Galway, Ireland;Department of Mathematics, Shandong Normal University, Jinan, 250014, PR China;Department of Mathematical Science, Florida Institute of Technology, Melbourne, Florida 32901, USA
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

In this paper, we establish the existence of an unbounded solution to a second order boundary value problem on the half line. Also the existence of multiple unbounded positive solutions is discussed using the theory of fixed point index.