Positive solutions for singular boundary value problems involving integral conditions
Department of Mathematics, Ningbo University, Ningbo, 315211, P.R. China
Boundary Value Problems 2012, 2012:72 doi:10.1186/1687-2770-2012-72Published: 5 July 2012
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.