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Existence of Positive Solutions for a Singular Second-Order Boundary Value Problem

Volume 3, Number 1 (2012), 28 - 41

Existence of Positive Solutions for a Singular Second-Order Boundary Value Problem

Communicated By: 
Irena Lasiecka
Price: $20.00

Abstract

We employ fixed point index properties to obtain existence results for positive solutions to the singualr second order two point boundary value problem 8>>>>>>>>>>><>>>>>>>>>>>: − 1 p(t) (pu0)0 (t) = q(t) f (t,u(t)), t 2 (0,1) , au(0)−blim t!0 p(t)u0(t) = 0, cu(1)+d lim t!1 p(t)u0(t) = 0, where p 2C((0,1) , (0,+1)) , q 2C((0,1) , [0,+1[) does not vanish identically, f : [0,1]×[0,+1[! [0,+1[ is continuous and R 1 0 d p() < 1.