Abstract: In this paper, by
using Krasnosel’skii fixed point theorem of cone expansion-compression type
and under suitable conditions, we present the existence of positive solutions to
the nonlinear third-order three-point boundary value problem
where
and We derive an explicit interval of l
such that for any l in
this interval, the existence of at least one positive solution to the boundary
value problem is guaranteed.
Keywords and phrases: positive solution, nonlinear third-order three-point boundary value problem, fixed point theorem.
