On some strengthening of the global implicit function theorem with an   application to a Cauchy problem for an integro-differential Volterra system
  In the paper, we improve our earlier results concerning the existence, uniqueness and differentiability of a global implicit function. Some application to a Cauchy problem for an integro-differential Volterra system of nonconvolution type, is given. 
Dariusz Idczak
math.CA