On a class of differential equations in Banach space
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Bogdan Rzepecki (1983)
Annales Polonici Mathematici
Zouyed, F., Rebbani, F., Boussetila, N. (2007)
Abstract and Applied Analysis
Satyanarayan Rao, Aribindi (2004)
International Journal of Mathematics and Mathematical Sciences
Mustafa R. S. Kulenović (1982)
Czechoslovak Mathematical Journal
Naito, Toshiki, Nguyen Van Minh, Shin, Jong Son (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
George N. Galanis (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
N'guérékata, Gaston M. (2004)
International Journal of Mathematics and Mathematical Sciences
N'Guerekata, Gaston M. (2001)
International Journal of Mathematics and Mathematical Sciences
Markin, Marat V. (2002)
International Journal of Mathematics and Mathematical Sciences
Rao, Aribindi Satyanarayan (2002)
International Journal of Mathematics and Mathematical Sciences
Dieter Lutz (1981)
Aequationes mathematicae
Sasu, B. (2006)
Acta Mathematica Universitatis Comenianae. New Series
Miroslav Sova (1981)
Časopis pro pěstování matematiky
Bernard M. Dwork (1997)
Journal für die reine und angewandte Mathematik
Rao, Aribindi Satyanarayan (1989)
International Journal of Mathematics and Mathematical Sciences
Sobhy El-sayed Ibrahim (1999)
Czechoslovak Mathematical Journal
This paper is concerned with square integrable quasi-derivatives for any solution of a general quasi-differential equation of th order with complex coefficients , provided that all th quasi-derivatives of solutions of and all solutions of its normal adjoint are in and under suitable conditions on the function .
Li, Yuan-Chuan, Shaw, Sen-Yen (2007)
Abstract and Applied Analysis
Nguyen Thanh Lan (2001)
International Journal of Mathematics and Mathematical Sciences
Alessandra Lunardi (1999)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Using interpolation techniques we prove an optimal regularity theorem for the convolution , where is a strongly continuous semigroup in general Banach space. In the case of abstract parabolic problems – that is, when is an analytic semigroup – it lets us recover in a unified way previous regularity results. It may be applied also to some non analytic semigroups, such as the realization of the Ornstein-Uhlenbeck semigroup in , , in which case it yields new optimal regularity results in fractional...
Eidelman, Y.S., Tikhonov, I.V. (2001)
Abstract and Applied Analysis
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