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Multiple positive solutions for singular BVPs on the positive half-line
Journal article   Peer reviewed

Multiple positive solutions for singular BVPs on the positive half-line

Smaïl Djebali and Karima Mebarki
Computers & mathematics with applications (1987), Vol.55(12), pp.2940-2952
01/06/2008
DOI: https://doi.org/10.1016/j.camwa.2007.11.023

Abstract

Compactness Cone Fixed point theorem Infinity interval Positive solution Singular problem
In this work, we are concerned with the existence of multiple positive solutions to a second-order nonlinear singular boundary value problem set on the positive half-line. We mainly use the Krasnozels’kĭi and Leggett–Williams fixed point theorems in cones to prove existence of one positive solution, two positive solutions and three positive solutions. The results complement, extend and correct some recent ones.

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