State-dependent impulsive delay-differential equations

Applied Mathematics Letters

Volumn 15, Issue 3, 2002, Pages 333-338

  Dubeau, F ^a   Karrakchou, J ^b  

^a UNIVERSITÉ DE SHERBROOKE   (Canada)

^b MOHAMMED V UNIVERSITY   (Morocco)

Author keywords

Delay; Differential equation; Fixed point; Impulses

Indexed keywords

EID: 31244437145     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(01)00140-9     Document Type: Article

References (5)

1. F. Dubeau, A. Ouansafi and A. Sakat, Equations différentielles ordinaires avec impulsions qui dépendent de l'état, Annales des Sciences Mathématiques du Québec 24, 145-154, (2000).
2. A. Bensoussan, G. DaPrato, M. Delfour and S. Mitter, Representation and Control of Infinite Dimensional Systems, Volume 1, Birkhäuser, Boston, MA, (1992).
3. F. Dubeau, On first order ordinary differential equations with infinitely many state dependent impulses, Differential Equations and Dynamical Systems 5, 85-89, (1997).
4. J.K. Hale, Theory of Functional Differential Equations, Springer-Verlag, New York, (1977).
5. V. Lakshmikantham, D. Bainov and P.S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, (1989).