Existence of positive solutions to three-point phi-Laplacian BVPs via homotopic deformations

Existence of positive solutions to three-point phi-Laplacian BVPs via homotopic deformations

Under suitable conditions and via homotopic deformation, we provide existence results for a positive solution to the three-point $phi$-Laplacian boundary-value problem $$displaylines{ -( aphi(u'))'(x)=b(x) f(x,u(x)),quad xin ( 0,1), cr u(0)=alpha u(eta),quad u'(1)=0, }$$ where...

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Bibliographic Details
Main Authors: Nadir Benkaci, Abdelhamid Benmezai, Johnny Henderson
Format: Article
Language:English
Published: Texas State University 2012-08-01
Series:Electronic Journal of Differential Equations
Subjects:
phi-Laplacian BVP
positive solution
fixed point
index theory
Online Access:http://ejde.math.txstate.edu/Volumes/2012/126/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2012/126/abstr.html

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