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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Well-posedness of abstract integro-differential equations with state-dependent delay
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by Eduardo Hernández, Denis Fernandes and Jianhong Wu PDF
Proc. Amer. Math. Soc. 148 (2020), 1595-1609 Request permission

Abstract:

We study existence, uniqueness, and well-posedness for a general class of abstract integro-differential equations with state-dependent delay. In the last section, some examples concerning partial integro-differential equations with state-dependent delay are presented.
References
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Additional 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, São Paulo, Brazil
  • Email: lalohm@ffclrp.usp.br
  • Denis Fernandes
  • Affiliation: Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, CEP 13566-590 São Carlos, São Paulo, Brazil
  • Email: denisfer@usp.br
  • Jianhong Wu
  • Affiliation: Department of Mathematics and Statistics, York University, Toronto, Ontario, M3J 1P3, Canada
  • MR Author ID: 226643
  • Email: wujh@mathstat.yorku.ca
  • Received by editor(s): May 14, 2019
  • Received by editor(s) in revised form: August 7, 2019
  • Published electronically: December 30, 2019
  • Additional Notes: The first author was supported by Fapesp 2017/13145-8.
    The second author was supported by Fapesp 2017/01776-3
  • Communicated by: Wenxian Shen
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 1595-1609
  • MSC (2010): Primary 34Gxx, 34K30, 47D06
  • DOI: https://doi.org/10.1090/proc/14820
  • MathSciNet review: 4069197