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Fixed-point theorems for nonlinear operators with singular perturbations and applications

Yan, Baoqiang
; 
O’Regan, Donal
; 
Agarwal, Ravi P
Identifiers
http://hdl.handle.net/10379/14477
https://doi.org/10.13025/26741
Repository DOI
10.1186/1029-242x-2014-37
Publication Date
2014-01-01
Keywords
boundary value problems, singularity, fixed-point index, boundary-value-problems, positive solutions, existence
Type
Article
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Citation
Yan, Baoqiang; O’Regan, Donal; Agarwal, Ravi P (2014). Fixed-point theorems for nonlinear operators with singular perturbations and applications. Journal of Inequalities and Applications ,
Abstract
In this paper, using fixed-point index theory and approximation techniques, we consider the existence and multiplicity of fixed points of some nonlinear operators with singular perturbation. As an application we consider the existence and multiplicity of positive solutions of singular systems of multi-point boundary value problems, which improve the results in the literature.
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Publisher
Springer Nature
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)