English

Existence results for integro-differential equations with reflection

Analysis of PDEs 2021-07-15 v1

Abstract

We prove several important results concerning existence and uniqueness of pseudo almost automorphic (paa) solutions with measure for integro-differential equations with reflection. We use the properties of almost automorphic functions with measure and the Banach fixed point theorem, and we discuss two linear and nonlinear cases. We conclude with an example and some observations.

Keywords

Cite

@article{arxiv.2107.06594,
  title  = {Existence results for integro-differential equations with reflection},
  author = {Mohsen Miraoui and Dušan D. Repovš},
  journal= {arXiv preprint arXiv:2107.06594},
  year   = {2021}
}
R2 v1 2026-06-24T04:11:07.857Z