Title of article
Multiplicity of positive solutions for singular three-point boundary value problems at resonance Original Research Article
Author/Authors
Shuqing Liang، نويسنده , , Lin Mu، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
9
From page
2497
To page
2505
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.
Keywords
Resonance , Strong singularity , Fixed point theorem in cones , positive solution , Alternative Leray–Schauder principle , Weak singularity , Three-point boundary value problem
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
861374
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