English

On some strengthening of the global implicit function theorem with an application to a Cauchy problem for an integro-differential Volterra system

Classical Analysis and ODEs 2014-07-16 v4

Abstract

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.

Keywords

Cite

@article{arxiv.1401.4049,
  title  = {On some strengthening of the global implicit function theorem with an application to a Cauchy problem for an integro-differential Volterra system},
  author = {Dariusz Idczak},
  journal= {arXiv preprint arXiv:1401.4049},
  year   = {2014}
}