Linear abstract integro-differential equations of hyperbolic type in Hilbert spaces
G. Da Prato, M. Iannelli (1980)
Rendiconti del Seminario Matematico della Università di Padova
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G. Da Prato, M. Iannelli (1980)
Rendiconti del Seminario Matematico della Università di Padova
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Daniela Sforza (1991)
Rendiconti del Seminario Matematico della Università di Padova
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G. Da Prato (1978)
Rendiconti del Seminario Matematico della Università di Padova
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G. Da Prato, E. Sinestrari (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Viorel Barbu, Angelo Favini (1992)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We prove two existence results on abstract differential equations of the type and we give some applications of them to partial differential equations.
Enzo Mitidieri, Mario Tosques (1986-1987)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Abdelaziz Rhandi (1997)
Studia Mathematica
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Using extrapolation spaces introduced by Da Prato-Grisvard and Nagel we prove a non-autonomous perturbation theorem for Hille-Yosida operators. The abstract result is applied to non-autonomous retarded partial differential equations.