Research
Positive solutions for singular boundary value problems involving integral conditions
Author affiliations
Department of Mathematics, Ningbo University, Ningbo, 315211, P.R. China
Citation and License
Boundary Value Problems 2012, 2012:72 doi:10.1186/1687-2770-2012-72
Published: 5 July 2012Abstract
We are interested in the following singular boundary value problem:
where 
is a parameter and 
is the Stieltjes integral. The function 
and w may be singular at 
and/or 
, 
and 
. Some a priori estimates and the existence, multiplicity and nonexistence of positive
solutions are obtained. Our proofs are based on the method of global continuous theorem,
the lower-upper solutions methods and fixed point index theory. Furthermore, we also
discuss the interval of parameter μ such that the problem has a positive solution.
