SINGULAR INTEGRAL EQUATIONS AND APPLICATIONS TO NONLINEAR CONJUGATE PROBLEMS

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Abstract

In this paper, we establish the existence of multiple positive solutions for singular integral equations. The proof is based on a general existence principle established using a nonlinear alternative principle of Leray-Schauder type and a well-known fixed point theorem in cones. As an application, we consider higher order nonlinear singular conjugate boundary value problems. Some recent results in the literature are generalized and improved.
Original languageEnglish (Ireland)
Number of pages16
JournalTaiwanese Journal Of Mathematics
Volume14
Publication statusPublished - 1 Apr 2010

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

  • Authors
  • Chu, JF;O'Regan, D

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