Nonautonomous partial functional differential equations; existence and regularity

• Autorzy: Moussa El-Khalil Kpoumiè , Khalil Ezzinbi , David Békollè
• Języki publikacji: EN

Abstrakty

EN

The aim of this work is to establish several results on the existence and regularity of solutions for some nondensely nonautonomous partial functional differential equations with finite delay in a Banach space. We assume that the linear part is not necessarily densely defined and generates an evolution family under the conditions introduced by N. Tanaka.We show the local existence of the mild solutions which may blow up at the finite time. Secondly,we give sufficient conditions ensuring the existence of the strict solutions. Finally, we consider a reaction diffusion equation with delay to illustrate the obtained results.

Słowa kluczowe

EN

Nonautonomous equation; evolution family; generalized variation of constants formula; compatibility conditions; stability conditions; mild and strict solutions

• Wydawca: De Gruyter Open
• Czasopismo: Nonautonomous Dynamical Systems
• Rocznik: 2017
• Tom: 4
• Numer: 1
• Strony: 108-127

Daty

wydano

2017-11-27

otrzymano

2017-04-29

zaakceptowano

2017-11-08

online

2017-12-07

Twórcy

autor

Moussa El-Khalil Kpoumiè

• ,
• ,

autor

Khalil Ezzinbi

• ,

autor

David Békollè

• ,

Identyfikatory

DOI

10.1515/msds-2017-0010