$C^{\alpha }$-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
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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