Rachid Benkhalti

Education

Doctorat de l'Université, Mathematics 1986 Université de Pau, France
Diplome d'Etudes Approfondies, Applied Mathematics 1982 Université de Pau, France
Matrise de Mathematiques et Applications Fondamentales 1981 Université de Pau, France

Professional Employment Record

Special Honors

I was recipient of the prestigious Fulbright Scholar grant for the academic year 94-95. Among my activities:

Conducted research
Helped in the planning of the 2^nd Marrakech International Conference on Differential Equations. Marrakech June 16-20, 1995
Gave a one-week course on the Classification of Delay Differential Equations to students from North Africa and France. Summer School on Differential Equations, University Cadi-Ayyad, Faculte des Sciences. Marrakech June 7-15, 1995. The EEC funded this project.
Taught a yearlong course on Differential Equations at the graduate level.

Publications

Books

Introduction Aux Equations Differentielles et Leurs Applications, 1^st edition 1995, by ScientificaA, pages 1-288, (with Khamsi).

In refereed journals:

Existence Results for Initial Value Problems for Neutral Functional Differential Equations, Journal of Differential Equations. Vol. 138, No. 1, 188-193 (1997) (with Arino and Ezzinbi).
Periodic Solutions of Functional Differential Equations of Neutral Type, Journal of Mathematical Analysis and Applications 204, 898-909 (1996) (with Ait Babram and Ezzinbi).
Bifurcation Properties for a Sequence of Approximation of Delay Equations, Journal of Mathematical Analysis and Applications, Vol. 171, No. 2, 377-388 1992) (with O. Arino).
Une Note sur le Degré de Fuller, Revue de l'Université Cadi-Ayyad, No. 6, 1-14, (1991) (with O. Arino).
Periodic Solutions for:, Proceedings of the Royal Society of Edinburgh,109A, 245-260 (1988) (with O. Arino).

To appear:

Periodic Solutions for with Nondifferentiable at Zero, Mathematical Model and Modeling of Data, Vol. 3, Wuerz, Winnepeg (with A. Mortabit).
Bifurcation Properties of an Approximation of the Equation: , Mathematical Model and Modeling of Data, Vol. 3, Wuerz, Winnepeg (with O. Arino).

Submitted:

A Massera Type Criterion for Semilinear Functional Differential Equations with Delay (with Ezzinbi).
Periodic Solutions for Some Neutral Functional Differential Equations (with Ezzinbi).
Existence of Periodic Solutions for Functional Differential Equations with State-Dependent Time Lags (with Arino and Ezzinbi).
A Hartman-Grobman Theorem for Some Partial Functional Differential Equations (with Ezzinbi).

Dissertation:

Méthodes Théoriques et Numériques dans la Détermination de Phénomènes de Bifurcation Globale, Université de Pau, 1986.

Invited Talks

On the Proof of a Fixed Point Bifurcation Theorem, 2^nd Marrakech International Conference on Differential Equations, Marrakech, Morroco,June 16-20, 1995.
A one-week course on the Classification of Delay Differential Equations. Summer School on Differential Equations, University Cadi–Ayyad, Faculte des Sciences. Marrakech, Morcco, June 7-15, 1995.
Bifurcation Properties of an Approximation of Delay Equations, 3rd Conference on Population Dynamics, Université de Pau, France June 1-5, 1992.
Periodic Solutions of Retarded Differential Equations, Days on Qualitative Study of Differential Equations, Université Cadi-Ayyad, Marrakech, Morocco, January 1989.
Properties of Solutions of Delay Differential Equations, Laboratoire de Mathématiques Appliquées, de Pau, France, January 1989.
Bifurcation Theory, Laboratoire de Physique Appliquée, Pau, France, January 1989.

Recent Departmental Seminar Presentations

I have given several presentations in PLU mathematics department weekly seminar on different subjects:

Professional Organizations