Khalil Ezzinbi, Hatem Megdiche, Amor Rebey
Abstract:
In this work, we prove results on the local existence of mild
solution and global continuation in the alpha-norm for some
class of partial neutral differential equations. We suppose that
the linear part generates a compact analytic semigroup. The
nonlinear part is just assumed to be continuous. We use the
compactness method, to show the main result of this work.
Submitted June 28, 2010. Published October 29, 2010.
Math Subject Classifications: 34K30, 47D06.
Key Words: Neutral equation; analytic semigroup; fractional power;
phase space; mild solution; Sadovskii's fixed point theorem.
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Khalil Ezzinbi Université Cadi Ayyad, Faculté des Sciences Semlalia Département de Mathématiques, BP 2390, Marrakech, Maroc email: ezzinbi@gmail.com |
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Hatem Megdiche Département de Mathématiques, Faculté des Sciences de Gabès Cité Erriadh 6072, Zrig, Gabès, Tunisie email: megdichehatem@yahoo.fr |
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Amor Rebey Institut Supérieur des Mathématiques Appliquées et de l'Informatique de Kairouan Avenue Assad Iben Fourat - 3100 Kairouan, Tunisie email: rebey_amor@yahoo.fr |
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