GER TYPE STABILITY OF THE FIRST ORDER LINEAR DIFFERENTIAL EQUATION FOR HOLOMORPHIC FUNCTIONS

Abstract

Let ­ Omega be a convex open set of C, the complex number field, and p: ­ Omega->C/{0} a holomorphic function. We give sufficient conditions in order that the first order linear differential equation f0(z) = p(z)f(z) for holomorphic function f: ­ Omega->C/{0} has the Get type stability.