English

On the Ulam Type Stability of Nonlinear Volterra Integral Equations

Classical Analysis and ODEs 2021-05-26 v1

Abstract

In this paper, we examine the Hyers-Ulam and Hyers-Ulam-Rassias stability of solutions of a general class of nonlinear Volterra integral equations. By using a fixed point alternative and improving a technique commonly used in similar problems, we extend and improve some well-known results on this problem. We also provide some examples visualizing the improvement of the results mentioned.

Keywords

Cite

@article{arxiv.2105.11778,
  title  = {On the Ulam Type Stability of Nonlinear Volterra Integral Equations},
  author = {Süleyman Öğrekçi and Yasemin Başcı and Adil Mısır},
  journal= {arXiv preprint arXiv:2105.11778},
  year   = {2021}
}