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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On explicit abstract neutral differential equations with state-dependent delay II
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by Eduardo Hernández;
Proc. Amer. Math. Soc. 152 (2024), 3899-3913
DOI: https://doi.org/10.1090/proc/16861
Published electronically: July 26, 2024

Abstract:

We study the existence and uniqueness of strict solution for a general class of abstract explicit neutral equations with state-dependent delay. Some examples concerning explicit partial neutral differential equations with state dependent delay are presented.
References
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Bibliographic Information
  • Eduardo Hernández
  • Affiliation: Departamento de Computação e Matemática, Faculdade de Filosofia Ciências e Letras de Ribeirão Preto Universidade de São Paulo, CEP 14040-901 Ribeirão Preto, SP, Brazil
  • ORCID: 0000-0002-4279-8570
  • Email: lalohm@ffclrp.usp.br
  • Received by editor(s): February 21, 2023
  • Received by editor(s) in revised form: May 12, 2023, and March 17, 2024
  • Published electronically: July 26, 2024
  • Additional Notes: This work was supported by Fapesp 2021/12559-9.
  • Communicated by: Wenxian Shen
  • © Copyright 2024 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 152 (2024), 3899-3913
  • MSC (2020): Primary 34K43, 34K30, 34K40, 34A12, 47D06
  • DOI: https://doi.org/10.1090/proc/16861
  • MathSciNet review: 4781983