Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842709 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 9 Pages |
Abstract
In this paper, we study the existence and multiplicity of positive solutions for the three-point boundary value problems with singular nonlinear perturbations at resonance. The existence results are applicable to both the case of a strong singularity and the case of a weak singularity. The proof is based on a nonlinear alternative Leray–Schauder principle and a fixed point theorem in cones for completely continuous operators.
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Authors
Shuqing Liang, Lin Mu,