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

doi:10.1016/S0252-9602(12)60048-4

Abstract

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.

Key words: Fixed points index, positive solution, singular problem, cone, lower and upper solution, half-line

CLC Number:

34B15

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.

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