期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2014
卷号：4
期号：1
页码：1-5
DOI：10.4236/ajcm.2014.41001
出版社：Scientific Research Publishing
摘要：It poses the
inverse problem that consists in finding the logarithm of a function. It shows
that when the function is holomorphic in a simply connected domain , the solution at the inverse problem exists and is unique if a
branch of the logarithm is fixed. In addition, it’s demonstrated that when the function is
continuous in a domain , where is Hausdorff space and
connected by paths. The solution of the problem exists and is unique if a branch of the logarithm is
fixed and is stable; for what in this case, the inverse problem turns out to be well-posed.
