A FIXED POINT METHOD IN THE STUDY OF AN INTEGRAL EQUATION

Journal Title: Journal of Science And Arts - Year 2012, Vol 18, Issue 1

Abstract

We prove an existence and uniqueness result for an integral equation involving selfadjoint integral operators in LR^2(0,1). The proof of principal result uses a variational method in Hilbert space, finalized by application of Banach fixed point theorem in a specific context, replacing classical approach of linear integral equations by an approach specific especially to nonlinear analysis.

Authors and Affiliations

DINU TEODORESCU

Keywords

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  • EP ID EP97833
  • DOI -
  • Views 234
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How To Cite

DINU TEODORESCU (2012). A FIXED POINT METHOD IN THE STUDY OF AN INTEGRAL EQUATION. Journal of Science And Arts, 18(1), 17-20. https://europub.co.uk/articles/-A-97833