On Existence of Positive Solutions of a Non- Linear three-Point Boundary-Value Problem
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Date
2014-06-06
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Addis Ababa University
Abstract
This paper is highly dependent on the work of Ruyun Ma and it stabilizes
some conditions for the existence of positive solutions to the boundary value
problem
u00 + a(t)f(u) = 0; t 2 (0; 1)
u(0) = 0; u( ) = u(1);
where 0 < < 1 and 0 < < 1
. We show the existence of at least one
positive solution if f is either superlinear or sublinear by applying the xed
point theorem in cones.
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Keywords
Existence, Positive Solutions, Non- Linear three-Point, Boundary-Value, Problem