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POSITIVE SOLUTIONS FOR A THIRD ORDER TWO-POINT BOUNDARY VALUE PROBLEM AT RESONANCE ON THE POSITIVE HALF LINE
Journal article   Peer reviewed

POSITIVE SOLUTIONS FOR A THIRD ORDER TWO-POINT BOUNDARY VALUE PROBLEM AT RESONANCE ON THE POSITIVE HALF LINE

Smail Djebali and Lamine Guedda
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, Vol.2017(1), pp.1-17
01/01/2017

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we establish sufficient conditions for the existence of positive solutions for a two-point boundary value problem of a third order differential equation at resonance on the positive half line. Our results are based on the Leggett-Williams norm-type theorem of coincidence. As an application, an example is given to demonstrate our results.

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