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Positive Solutions for Singular phi-Laplacian BVPs on the Positive Half-line
Journal article   Open access  Peer reviewed

Positive Solutions for Singular phi-Laplacian BVPs on the Positive Half-line

Smail Djebali and Ouiza Saifi
Electronic journal of qualitative theory of differential equations, Vol.2009(56), pp.1-24
01/01/2009

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this work, we are concerned with the existence of positive solutions for a phi Laplacian boundary value problem on the half-line. The results are proved using the fixed point index theory on cones of Banach spaces and the upper and lower solution technique. The nonlinearity may exhibit a singularity at the origin with respect to the solution. This singularity is treated by regularization and approximation together with compactness and sequential arguments.
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https://doi.org/10.14232/ejqtde.2009.1.56View
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