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

Authors:
Smaïl Djebali;Karima Mebarki
Affiliations:
Department of Mathematics, E.N.S., P.O. Box 92, 16050 Kouba, Algiers, Algeria;Department of Mathematics, Faculty of Fundamental Sciences, U.M.B.B., 35000, Boumerdès, Algeria
Venue:
Computers & Mathematics with Applications
Year:
2008

Citing 2
Cited 1

Nonlinear functional analysis and its applications

Nonlinear functional analysis and its applications
Existence theory for nonlinear Fredholm and Volterra integral equations on half-open intervals

Nonlinear Analysis: Theory, Methods & Applications

Existence of positive solutions for a semipositone boundary value problem on the half-line

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.09

Visualization

Abstract

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'kii 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.