Abstract :
In this study, the existence of a solution of the non-linear singular integral equation systemw(z) = f1(z,w(z), h(z), TGg1( 0 ,w( 0 ), h( 0 ))(z),ΠGg1( 0 ,w( 0 ), h( 0 ))(z),h(z) = f2(z,w(z), h(z), TGg2( 0 ,w( 0 ), h( 0 ))(z),ΠGg2( 0 ,w( 0 ), h( 0 ))(z),has been investigated.
Keywords :
Singular integral equations , Holder continuity , Fixed point theorem , Contraction mapping