%0 Journal Article
%T A FIXED POINT METHOD IN THE STUDY OF AN INTEGRAL EQUATION
%A DINU TEODORESCU
%J Journal of Science and Arts
%D 2012
%I Bibliotheca Publishing House
%X 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.
%K integral equation
%K selfadjoint operator
%K strongly positive linear operator.
%U http://www.icstm.ro/DOCS/josa/josa_2012_1/a_03_Teodorescu.pdf