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POSITIVE SOLUTIONS FOR SINGULAR BVPs ON THE POSITIVE HALF-LINE ARISING FROM EPIDEMIOLOGY AND COMBUSTION THEORY
Authors:Smail Djebali    Ouiza Saifi    Yan Baoqiang
Affiliation:1. Department of Mathematics, E.N.S., P.O. Box 92, 16050 Kouba. Algiers, Algeria
2. Department of Economics, Faculty of Economic and Management Sciences, Algiers University, Algeria
3. Department of Mathematics, Shandong Normal University, Jinan 250014, China
Abstract:In this work, we are concerned with the existence and multiplicity of positive solutions for singular boundary value problems on the half-line. Two problems from epi-demiology and combustion theory set on the positive half-line are investigated. We use upper and lower solution techniques combined with fixed point index on cones in appro-priate Banach spaces. The results complement recent ones in the literature.
Keywords:Fixed points index  positive solution  singular problem  cone  lower andupper solution  half-line
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