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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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$C^{\alpha }$-classical solutions for abstract non-autonomous integro-differential equations
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by Eduardo Hernández
Proc. Amer. Math. Soc. 139 (2011), 4307-4318
DOI: https://doi.org/10.1090/S0002-9939-2011-11265-6
Published electronically: August 9, 2011

Abstract:

In this paper we study the existence of strict and classical solutions for a class of abstract non-autonomous integro-differential equations in Banach spaces. Some applications of the abstract results are considered.
References
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Bibliographic Information
  • Eduardo Hernández
  • Affiliation: Departamento de Computação e Matemática, Faculdade de Filosofia, Ciencias e Letras de Ribeirão Preto, Universidade de São Paulo, CEP 14040-901 Ribeirão Preto, SP, Brazil
  • Email: lalohm@icmc.usp.br
  • Received by editor(s): June 2, 2009
  • Published electronically: August 9, 2011
  • Additional Notes: The work of the author was supported by Capes, Grant 1050314.
  • Communicated by: Ken Ono
  • © Copyright 2011 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 139 (2011), 4307-4318
  • MSC (2010): Primary 45N05, 34K30; Secondary 47D06
  • DOI: https://doi.org/10.1090/S0002-9939-2011-11265-6
  • MathSciNet review: 2823076