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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 12 (2022), Article ID 7

Global existence for neutral partial functional integrodifferential equations with infinite delay

Sylvain Koumla, Nelio N’Dogotar, Boubacar Diao

Abstract

The aim of this work is to prove some results about the existence and regularity of solutions for some neutral partial functional integrodifferential equations with infinite delay in Banach spaces. The results are based on semigroup theory and on Banach’s fixed point theorems. The method used treats the equations in its subspace D(A). One example is given to illustrate the theory.

Published
18 April 2022
Volume
12 (2022)
License
CC BY 3.0

Copyright © 2022 Sylvain Koumla, Nelio N’Dogotar, Boubacar Diao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

S. Koumla, N. N’Dogotar, B. Diao, Global existence for neutral partial functional integrodifferential equations with infinite delay, Adv. Fixed Point Theory 12 (2022), 7. https://doi.org/10.28919/afpt/7223

BibTeX
@article{Koumla2022,
  author  = {Koumla, Sylvain and N’Dogotar, Nelio and Diao, Boubacar},
  title   = {Global existence for neutral partial functional integrodifferential equations with infinite delay},
  journal = {Adv. Fixed Point Theory},
  volume  = {12},
  year    = {2022},
  pages   = {7},
  doi     = {10.28919/afpt/7223}
}