Marlène Frigon

	Ph.D. (Montréal 1987)
	Professeure titulaire

Champs d'intérêt et thèmes d'enseignement

Mes travaux portent principalement sur la théorie des points fixes et la
théorie des points critiques ainsi que sur l'application de ces théories aux
équations et inclusions différentielles ordinaires ou partielles.

Publications

Articles avec comité de lecture

M. Frigon, Remarques sur l'enlacement en théorie des points critiques pour
des
fonctionnelles continues, Canadian Math. Bull. (à paraître).
M. Frigon et D. O'Regan, Fixed points of cone-compressing and cone-extending
operators in Fréchet spaces, Bull. London Math. Soc. 35 (2003), 672-680.
M. Frigon, Fixed point results for compact maps on closed
subsets of Fréchet spaces and applications to
differential and integral equations, Bull. Soc. Math. Bel. S. Stevin 9
(2002), 23-37.
M. Frigon et D. O'Regan, A Leray-Schauder alternative for Mönch maps on
closed subsets of Fréchet spaces, Zeitschrift für Analysis und ihre
Anwendungen 21 (2002), 753-760.
M. Frigon et D. O'Regan, Fuzzy contractive maps and fuzzy fixed points,
Fuzzy Sets and Systems 129 (2002), 39-45.
M. Frigon, On a generalized critical point theory on gauge
spaces and applications to elliptic problems on R^N,
Topol. Methods Nonlinear Anal. 17 (2001), 67-89.
FRIGON M. & O'REGAN D., Second order Sturm-Liouville BVP's with impulses at variable moments, Dynamics of Continuous, Discrete and Impulsive Systems, Vol 8, pp. 149-159, 2001.
FRIGON Marlène, Fixed point results for generalized contractions in gauge spaces and applications, Proc. Amer. Math. Soc., vol. 128, pp. 2957-2965, 2000.
FRIGON Marlène & O'REGAN D., First order impulsive initial and periodic problems with variable moments, J. Math. Anal. Appl., vol. 233, pp. 730-739, 1999.
FRIGON, Marlène, On a new notion of linking and application to elliptic problems at resonance, J. Differential Equations, vol. 153, pp. 96-120, 1999.
FRIGON M. & GRANAS A., Principes de continuation pour des contractions sur des espaces de Fréchet, Ann. Sci. Math. Québec, vol. 22, pp. 161-168, 1998.
FRIGON Marlène, On a critical point theory for multivalued functionals and application to partial differential inclusions, Nonlinear Anal., vol. 31, pp. 735-753, 1998.
FRIGON M. & O'REGAN D., Nonlinear first order initial and periodic problems in Banach spaces, Appl. Math. Lett., vol. 10, pp. 41-46, 1997.
FRIGON M. & O'REGAN D., Impulsive differential equations with variable times, Nonlinear Analysis, vol. 26, pp. 1913-1922, 1996.
FRIGON M. & O'REGAN D., Existence theory for compact and noncompact intervals, Comm. Applied Nonlinear Analysis, vol. 2, pp. 75-82, 1995.
FRIGON M & O'REGAN D., Boundary value problems for second order impulsive differential equations using set-valued maps, Applicable Analysis, vol. 58, pp.325-333, 1995.
FRIGON M. & O'REGAN D., Existence results for first order impulsive differential equations, J. Math. Anal. Appl., vol. 193, pp. 96-113, 1995.
FRIGON M., GRANAS A. & GUENNOUN Z., Alternative non linéaire pour les applications contractantes, Ann. Sci. Math. Québec, vol. 19 , pp. 65-68, 1995.
FRIGON Marlène, Boundary and periodic value problems for systems of differential equations under Bernstein-Nagumo growth condition, Diff. Int. Equat., vol. 8, pp. 1789-1804, 1995
FRIGON M. & O'REG25.01.2008 initial and boundary value problem without growth restriction, Proc. Amer. Math. Soc., vol. 123, pp. 207-216 , 1995.
FRIGON M. & GRANAS A., Résultats du type de Leray-Schauder pour des contractions multivoques, Topol. Methods Nonlinear Anal., vol. 4, pp. 197-208, 1994.
FRIGON M. & O'REGAN, Existence results for initial value problems in Banach spaces, Differential Equations and Dynamical Systems, vol. 2, pp. 41-48, 1994.
FRIGON M & KACZYNSKI T., Boundary value problems for systems of implicit differential equations, J. Math. Anal. Appl., vol. 179, pp. 317-326, 1993.
FRIGON M. & O'REGAN D., Some general existence principles for ordinary differential equations, Topol. Methods Nonlinear Anal., vol. 2, pp. 35-54, 1993.
FRIGON Marlène, Boundary and periodic value problems for systems of nonlinear second order differential equations, Topol. Methods Nonlinear Anal., vol. 1, pp. 259-274, 1993.
FRIGON M., GRANAS A. & GUENNOUN Z., A note on the Cauchy problem for differential inclusions, Topol. Methods Nonlinear Anal., vol. 1, pp. 315-321, 1993.
FRIGON, Marlène, Théorèmes d'existence pour des problèmes aux limites sans condition de croissance, Bull. Sc. Math., vol. 117, pp. 377-400, 1993.
FRIGON M. & LEE J.W., Existence principles for Carathéodory differential equations in Banach spaces, Topol. Methods Nonlinear Anal., vol. 1, pp. 95-111, 1993.
FRIGON M. & GRANAS A., Problèmes aux limites pour des inclusions différentielles de type semi-continues inférieurement, Riv. Mat. Univ. Parma, vol. 17, 87-97, 1991.
FRIGON Marlène, Problèmes aux limites pour des inclusions différentielles sans condition croissance, Ann. Polon. Math., vol. 54, pp. 69-83, 1991.
FRIGON M & SACCON, C., Heat equations with discontinuous nonlinearities on convex and nonconvex constraints, Nonlinear Analysis, vol. 17, pp. 923-946, 1991.
FRIGON M., MARION A. & SACCON C., Some problems of parabolic type with discontinuous nonlinearities on convex constraints, Rend. Mat. Acc. Lincei, Serie 9, vol. 1, pp. 41-52, 1990.
FRIGON M. & O'REGAN D., Some remarks on the interval of existence of solutions to first order initial value problems, Utilitas Math., vol 37, pp.199-206, 1990.
FRIGON M. & GRANAS A., Théorèmes d'existence pour des inclusions différentielles sans convexité, C. R. Acad. Sci. Paris, série 1, vol. 310, pp. 819-822, 1990.
FRIGON Marlène, Sur l'existence de solutions pour l'équation différentielle u'(z) = f(z,u(z)) dans un domaine complexe, C. R. Acad. Sci. Paris, série 1, vol. 310, pp. 371-374, 1990.
FRIGON Marlène, Application de la théorie de la transversalité topologique à des problèmes non linéaires pour des équations différentielles ordinaires, Dissertationes Mathematicae, vol. 296, 1990 pp 1-75.

Actes avec comité de lecture

FRIGON M., GÓRNIEWICZ L. & KACZYNSKI, T., Differential inclusions and implicit equations on closed subsets of Rn, Proceedings of First World Congress of Nonlinear Analysts, Tampa, Florida, August 19-26, 1992, Walter de Gruyter, Berlin, New York, 1996, pp. 1797-1806.
R. P. Agarwal, M. Frigon and D. O'Regan, A survey of recent fixed point
theory in Fréchet spaces, Nonlinear Analysis and applications, R.~P.~Agarwal
and D.O'Regan eds.
Kluwer Publishers (à paraître).
M. Frigon, Fixed point results for
multivalued contractions on gauge spaces, Set valued
mapping with applications in nonlinear analysis, Series in Mathematical
Analysis and Applications, vol. 3, R.~P.~Agarwal and D.O'Regan eds.,
Gordonand Breach Science Publishers, 2001, 175--181.
M. Frigon, On continuation methods for contractive and
nonexpansive mappings, Recent advances on metric fixed
point theory, Ciencas, vol 48, T. Dominguez Benavides ed., Universidad de
Sevilla, Sevilla, 1996, 19-30.
M. Frigon, Théorèmes d'existence de solutions d'inclusions
Différentielles, Topological methods in
differential equations and inclusions, NATO ASI
Series, Ser. C: Math. and Phys. Sci., Birkhäuser, Dordrecht, 1995, 51-87

Livres

GRANAS A., FRIGON M., Eds., Topological methods in differential equations and inclusions, NATO-ASI, Ser. C : Math. and Phys. Sci., Kluwer, Dordrecht, 1995.