Marlène Frigon

	Ph.D. (Montréal 1987)
	Professeure titulaire

	Page personnelle

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

Livres

Granaset M. Frigon, Eds., Topological methods in differential equations and inclusions(Montreal, PQ, 1994), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 472,Kluwer Acad. Publ., Dordrecht, 1995.

Articles publiés ou acceptés

M.Frigon, On some generalizations of Ekeland's Principle and inward contractions in gauge spaces, J. Fixed PointTheory Appl. 10 (2011) 279--298.

M.Frigon et H. Gilbert, Systems of first order inclusions on time scales, Topol.Methods Nonlinear Anal. 37 (2011)147--163.

M.Frigon et H. Gilbert, Boundaryvalue problems for systems of second-order dynamic equations on time scaleswith D-Carathéodory functions, Abstr.Appl. Anal., 2010 (2010), Art. ID234015, 26 pp.

M.Frigon et H. Gilbert, Existencetheorems for systems of third order differential equations, Dynam. Systems Appl. 19(2010) 1--23.

M.Frigon, Fixedpoint results for multivalued maps in metric spaceswith generalized inwardness conditions, Fixed Point Theory Appl.(volume dedicated to W. Takahashi) 2010(2010), Article ID 183217, 19 pp.

N.Beauchemin et M. Frigon, Ona notion of category depending on a functional. Part II: An application to Hamiltonian systems, Nonlinear Anal. 72 (2010) 3376--3387.

N.Beauchemin et M. Frigon, Ona notion of category depending on a functional. Part I: Theory and Applicationto critical point theory, Nonlinear Anal. 72 (2010) 3356--3375.

M.Frigon et E. Montoki, Multiplicity results for systems of second order differential equations, NonlinearStud. 15 (2008), 71--92.

M.Frigon, Global existence of analytic solutions to the Cauchy problem in a complex domain,J. Fixed Point Theory Appl., 1(2007), 189--194.

M.Frigon, Systems of first order differential inclusions with maximal monotone terms,Nonlinear Anal. 66 (2007)2064--2077.

M.Frigon et E. Montoki, Systems of differential inclusions with maximal monotone terms, J. Math. Anal.Appl. 323 (2006) 1134--1151.

F.Colin et M. Frigon, Systems of coupled Poisson equations with critical growth in unbounded domains,NoDEA Nonlinear Differential Equations Appl. 13 (2006) 369--384.

F.Colin et M. Frigon, Systems of singular Poisson equations in unbounded domains, Adv. Differential Equations 10 (2005), 1035--1052.

R.P.Agarwal, M. Frigon, V. Lakshmikantham et D.~O'Regan, A note on upper and lower solutions for first order inclusions of upper semicontinuous or lower semicontinuoustype, Nonlinear Stud. 12(2005), 159--163.

M. Frigon, Remarques sur l'enlacement en théorie des points critiques pour des fonctionnelles continues, Canad. Math. Bull., 47 (2004), 515--529.

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.Belg. Math. Soc. Simon Stevin, 9(2002) 23--37.

M.Frigon et D. O'Regan, A Leray-Schauder alternative for Mönchmaps on closed subsets of Fréchet spaces, Z.Anal. 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.

M.Frigon et D. O'Regan, Second order Sturm-Liouville BVP's with impulses at variable moments, Dyn. Contin.Discrete Impuls. Syst. Ser. A Math. Anal., 8 (2001), 149--159.

M.Frigon, Fixed point results for generalized contractions in gauge spaces and applications,Proc. Amer. Math. Soc., 128 (2000),2957--2965.

M.Frigon et D. O'Regan, First order impulsive initial and periodic problems with variable moments, J.Math. Anal. Appl., 233 (1999),730--739.

M.Frigon, On a new notion of linking and application to elliptic problems at resonance, J. Differential Equations 153 (1999), 96--120.

M. Frigon et A. Granas, Principes de continuation pour des contractions sur des espaces de Fréchet, Dedicated to the memory of Gilles Fournier (Sherbrooke, PQ, 1997). Ann. Sci. Math.Québec 22 (1998), 161--168.

M.Frigon, On a critical point theory for multivalued functionals and application to partial differential inclusions, Nonlinear Anal. 31(1998), 735--753.

M.Frigon et D. O'Regan, Nonlinear first order initial and periodic problems in Banach spaces, Appl. Math. Lett. 10 (1997), 41--46.

M.Frigon et D. O'Regan, Impulsive differential equations with variable times, Nonlinear Anal. 26 (1996), 1913-1922.

M.Frigon et D. O'Regan, Existence theory for compact and noncompact intervals,Comm. Appl. Nonlinear Anal. 2(1995), 75--82.

M.Frigon et D. O'Regan, Boundary value problems for second order impulsive differential equations usingset-valued maps, Appl. Anal. 58(1995), 325--333.

M.Frigon et D. O'Regan, Existence results for first order impulsive differential equations, J. Math.Anal. Appl. 193 (1995), 96--113.

M. Frigon, A. Granas et Z. Guennoun,Alternative non linéaire pour les applications contractantes, Ann. Sci. Math. Québec 19(1995), 65--68.

M.Frigon, Boundary and periodic value problems for systems of differential equations under Bernstein-Nagumo growth condition,Differential Integral Equations 8,(1995), 1789--1804.

M.Frigon et D. O'Regan, Existence results for some initial and boundary value problem without growth restriction,Proc. Amer. Math. Soc. 123 (1995),207--216.

M. Frigon et A. Granas, Résultats du type de Leray-Schauder pour des contractions multivoques, Topol. MethodsNonlinear Anal. 4(1994), 197--208.

M.Frigon et D. O'Regan, Existence results for initial value problems in Banach spaces,Differential Equations Dynam. Systems 2 (1994), 41--48.

M.Frigon et T. Kaczynski, Boundary value problems for systems of implicit differential equations, J. Math.Anal. Appl. 179 (1993), 317--326.

M.Frigon et D. O'Regan, Some general existence principles for ordinary differential equations, Topol. Methods Nonlinear Anal. 2 (1993), 35--54.

M.Frigon, Boundary and periodic value problems for systems of nonlinear second order differential equations, Topol. Methods Nonlinear Anal. 1 (1993), 259--274.

M.Frigon, A. Granas et Z. Guennoun,A note on the Cauchy problem for differential inclusions, Topol. Methods Nonlinear Anal. 1 (1993), 315--321.

M. Frigon, Théorèmes d'existence pour des problèmes aux limites sans condition de croissance,Bull. Sci. Math. 117(1993), 377--400.

M.Frigon et J. W. Lee, Existence principles for Carathéodory differential equations in Banach spaces, Topol.Methods Nonlinear Anal. 1 (1993),95--111.

M. Frigon et A. Granas, Problèmes aux limites pour des inclusions différentielles de type semi-continues inférieurement, Riv. Mat. Univ. Parma (4) 17 (1991), 87--97.

M. Frigon, Problèmes aux limites pour des inclusions différentielles sans condition de croissance,Ann. Polon. Math. 54 (1991), 69--83.

M.Frigon et C. Saccon, Heat equations with discontinuous nonlinearities on convex and nonconvex constraints, Nonlinear Anal. 17(1991), 923--946.

M.Frigon, A. Marino et C. Saccon,Some problems of parabolic type with discontinuous nonlinearities on convex constraints, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 1 (1990), 41--52.

M.Frigon et D. O'Regan, Some remarks on the interval of existence of solutions to first order initial value problems, Utilitas Math. 37 (1990), 199--206.

M. Frigon et A. Granas, Théorèmes d'existence pour des inclusions différentielles sans convexité, C. R.Acad. Sci. Paris, Sér. IMath., 310 (1990), 819--822.

M. Frigon, Sur l'existence de solutions pour l'équation différentielle u'(z)=f(z,u(z)) dans un domaine complexe,C. R. Acad. Sci. Paris, Sér.I Math., 310 (1990), 371--374.

M. Frigon, Application de la théorie de la transversalité topologique à des problèmes non linéaires pour des équations différentielles ordinaires, Dissertationes Math. (Rozprawy Mat.) 296 (1990), 75 pp.

M. Frigon, A. Granas et Z. Guennoun,Surl'intervalle maximal d'existence de solutions pour des inclusions différentielles, C. R. Acad. Sci. Paris, Sér. I Math., 306(1988), 747--750.

M.Frigon et D. O'Regan, On a generalization of a theorem of S. Bernstein, Ann. Polon.Math. 48 (1988), 297--306.

Proceedings et autres contributions

M. Frigon, Fixed point and continuation results for contractions in metric and in gauge spaces,Fixed Point Theory and its Applications, BanachCenter Publ., 77, Polish Acad. Sci.,Warzaw, 2007, 89--114.

R. P. Agarwal, M. Frigon et D. O'Regan, A survey of recent fixed point theory in Fréchet spaces,Nonlinear analysis and applications: to V. Lakshmikanthamon his 80^th birthday, vol. 1, 2, KluwerAcad. Publ., Dordrecht, 2003, 75--88.

M. Frigon, Fixed point results for multivalued contractions on gaugespaces, Set valued mapping with applications in nonlinear analysis, Ser. Math. Anal. Appl., 4, Taylor & Francis, London, 2002, 175--181.

M. Frigon, On continuation methods for contractive and nonexpansive mappings, Recent advances on metric fixed point theory (Seville, 1995), Ciencias, 48, Univ. Sevilla,Seville, 1996, 19--30.

M. Frigon, L. Górniewiczet T. Kaczynski, Differential inclusions and implicit equations on closed subsets of Rⁿ,World Congress of Nonlinear Analysts '92, Vol. I-IV (Tampa, Fl, 1992),de Gruyter, Berlin, 1996, 1797--1806.

M. Frigon, Théorèmes d'existence de solutions d'inclusions différentielles,Topological methods in differential equations and inclusions (Montreal, PQ,1994), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 472, Kluwer Acad. Publ., Dordrecht, 1995,51--87.