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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G. Da Prato, E. Sinestrari (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Rosanna Villella Bressan (1974)
Rendiconti del Seminario Matematico della Università di Padova
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Lucas Jódar Sánchez (1987)
Stochastica
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It is proved that the resolution problem of a Sturm-Liouville operator problem for a second-order differential operator equation with constant coefficients is solved in terms of solutions of the corresponding algebraic operator equation. Existence and uniqueness conditions for the existence of nontrivial solutions of the problem and explicit expressions of them are given.
C. Parenti, F. Strocchi, G. Velo (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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J. Kisyński (1972)
Studia Mathematica
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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.
Keiji Matsumoto (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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