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

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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.
Original languageEnglish (Ireland)
Article number37
JournalJournal Of Inequalities And Applications
Volume2014
Issue number1
Publication statusPublished - 1 Jan 2014

Keywords

  • Boundary value problems
  • Fixed-point index
  • Singularity

Authors (Note for portal: view the doc link for the full list of authors)

  • Authors
  • Yan, BQ,O'Regan, D,Agarwal, RP

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