%0 Journal Article
%T On Solution of A Certain Class of Non Linear Singular Integral Equations
%A Murat D¨¹z
%J Sel£¿uk Journal of Applied Mathematics
%D 2011
%I Sel?uk University
%X In this study, the existence of solution of the non-linear singular integral equation systemw(z)=f (.,w(.),h(.),T_{G}g (.,w(.),h(.)),¡Ç_{G}h (.,w(.),h(.)))(z) h(z)=f (.,w(.),h(.),T_{G}g (.,w(.),h(.)),¡Ç_{G}h (.,w(.),h(.)))(z)has been investigated. Here,T_{G}f(z)and¡Ç_{G}f(z)are Vekua integral operators defined byT_{G}f(z) = -(1/¦Ð) _{G}((f( ))/( -z))d¦Îd¦Ç ¡Ç_{G}f(z) = -(1/¦Ð) _{G}((f( ))/(( -z)2))d¦Îd¦Ç.
%K Singular integral equations
%K Holder continuity
%K fixed point theorem
%K contraction mapping
%U http://www.sumam.selcuk.edu.tr/12-1-6.html