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

Related Articles

NUMERAL SYSTEMS OF GREAT ANCIENT HUMAN CIVILIZATIONS

We present here a systematic study of numeral systems of world’s renowned ancient human civilizations. We discuss their important properties regarding number of different symbols, base, positional or place-value characte...

PROVING SOME GEOMETRIC IDENTITIES BY USING THE DETERMINANTS

In this note we will give proofs about some identities by using determinants. The method of determinants in Geometry is a powerful technique

A MULTIFACTORIAL MODEL

The multifactorial models refer to the dependence of a bond on several parameters, unlike the unifactorial ones depending on the interest rate only. We suppose that the value P of a bond is dependent on two random factor...

AEROSOL SAMPLES ELEMENTAL ANALYSIS FROM SOME ROMANIAN URBAN REGIONS BY PIXE TECHNIQUE

Aerosols deposits on filters from ten Romanian towns with different kinds and levels of industrial development were studied in this work. The elemental composition of samples was established by performing Particle-Induce...

LOCALLY AFFINE FUNCTIONS

The Monge-Ampère equation and related boundary value problem are a source example for the non-linear potential theory, and for convex analysis ([1-5, 8]). Moreover the concept of the locally convex function is introduced...

Download PDF file
  • EP ID EP97833
  • DOI -
  • Views 187
  • Downloads 0

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