Journal of Pure and Applied Mathematics: Advances and ApplicationsAuthor's: Sheng-Ping Wang
Pages: [209] - [226]
Received Date: November 2, 2009
Submitted by:
We establish existence results of the following three-point boundary
value problems:
where 
and 
with 
or with 
The approach applied in this paper is upper
and lower solution method associated with basic degree theory or
Schauder’s fixed point theorem. Under the Nagumo’s condition posed
on the source term, we deal with diverse solutions for this boundary
value problem with the function fwhich is continuous,
Carathéodory on its domain, respectively.
upper (lower) solution, (strict) 
-upper (lower) solution, three-point boundary
value problems, Schauder’s fixed point theorem, degree theory, Na
