Articles

POSITIVE SOLUTIONS FOR SINGULAR BVPs ON THE POSITIVE HALF-LINE ARISING FROM EPIDEMIOLOGY AND COMBUSTION THEORY

  • Sma?l Djebali ,
  • Ouiza Sa?fi ,
  • YAN Bao-Qiang
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  • Department of Mathematics, E.N.S., P.O. Box 92, 16050 Kouba. Algiers, Algeria; Department of Economics, Faculty of Economic and Management Sciences, Algiers University, Algeria; Department of Mathematics, Shandong Normal University, Jinan 250014, China

Received date: 2009-11-19

  Revised date: 2011-02-14

  Online published: 2012-03-20

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.

Cite this article

Sma?l Djebali , Ouiza Sa?fi , YAN Bao-Qiang . POSITIVE SOLUTIONS FOR SINGULAR BVPs ON THE POSITIVE HALF-LINE ARISING FROM EPIDEMIOLOGY AND COMBUSTION THEORY[J]. Acta mathematica scientia, Series B, 2012 , 32(2) : 672 -694 . DOI: 10.1016/S0252-9602(12)60048-4

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