English

The Hyers-Ulam stability for nonlinear Volterra integral equations via a generalized Diaz-Margolis's fixed point theorem

Functional Analysis 2015-03-30 v1

Abstract

In this work, we prove an existence theorem of the Hyers-Ulam stability for the nonlinear Volterra integral equations which improves and generalizes Castro-Ramos theorem by using some weak conditions.

Keywords

Cite

@article{arxiv.1503.07967,
  title  = {The Hyers-Ulam stability for nonlinear Volterra integral equations via a generalized Diaz-Margolis's fixed point theorem},
  author = {Wei-Shih Du},
  journal= {arXiv preprint arXiv:1503.07967},
  year   = {2015}
}