Edit Profile (opens in new tab) Aubin, Jean-Pierre Compute Distance To: Compute Author ID: aubin.jean-pierre Published as: Aubin, Jean-Pierre; Aubin, J.-P.; Aubin, J. P.; Aubin, Jean Pierre more...less Homepage: http://vimades.com/aubin/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Documents Indexed: 191 Publications since 1963, including 31 Books 6 Contributions as Editor Biographic References: 1 Publication Co-Authors: 47 Co-Authors with 92 Joint Publications 1,536 Co-Co-Authors all top 5 Co-Authors 104 single-authored 27 Frankowska, Hélène 9 Ekeland, Ivar 8 Saint-Pierre, Patrick 7 Da Prato, Giuseppe 5 Dordan, Olivier 4 Chen, Luxi 4 Clarke, Francis H. 4 Haddad, Georges 3 Bensoussan, Alain 3 Cornet, Bernard 3 Seube, Nicolas 2 Bayen, Alexandre M. 2 Cellina, Arrigo 2 Désilles, Anya 2 Lasry, Jean-Michel 2 Najman, Laurent 2 Nohel, John A. 2 Olech, Czesław 2 Sigmund, Karl 1 Attouch, Hedy 1 Bernhard, Pierre 1 Bonneuil, Noël 1 Byrnes, Christopher Ian 1 Catté, Francine 1 Doss, Halim 1 Durand, Marie-Hélène 1 Engwerda, Jacob Christiaan 1 Foray, Dominique 1 Isidori, Alberto 1 Kolokoltsov, Vassili N. 1 Lasota, Andrzej 1 Lesne, Annick 1 Lions, Jacques-Louis 1 Louis-Guerin, C. 1 Luxi, Chen 1 Lygeros, John 1 Maurin, Franck 1 Moreau, Jean Jacques 1 Moulin, Hervé C. 1 Pujal, Dominique 1 Quincampoix, Marc 1 Roorda, Berend 1 Saari, Donald Gene 1 Sastry, S. Shankar 1 Schumacher, Johannes M. 1 Siegel, Jerrold 1 Vinter, Richard B. 1 Wets, Roger Jean-Baptiste 1 Zavalloni, M. all top 5 Serials 14 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 12 Comptes Rendus de l’Académie des Sciences. Série I 10 SIAM Journal on Control and Optimization 5 Journal of Mathematical Analysis and Applications 5 Set-Valued Analysis 4 NoDEA. Nonlinear Differential Equations and Applications 4 Journal of Convex Analysis 3 Annales des Sciences Mathématiques du Québec 3 Mathematics of Operations Research 3 Stochastic Analysis and Applications 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Lecture Notes in Economics and Mathematical Systems 3 Systems & Control: Foundations & Applications 2 Annales Polonici Mathematici 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Applied Mathematics and Optimization 2 Journal of Approximation Theory 2 Journal of Mathematical Economics 2 Differential and Integral Equations 2 Journal of Evolution Equations 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 2 Graduate Texts in Mathematics 2 Modern Birkhäuser Classics 1 Journal of Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Calcolo 1 Canadian Mathematical Bulletin 1 Gazette des Mathématiciens 1 IEEE Transactions on Automatic Control 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 SIAM Journal on Numerical Analysis 1 Complex Systems 1 Annals of Operations Research 1 Revue Internationale de Systémique 1 Dynamics and Control 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Problems of Control and Information Theory 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 International Journal of Robust and Nonlinear Control 1 Mathematical Population Studies 1 Positivity 1 Mathematical Methods of Operations Research 1 International Game Theory Review 1 Mathématiques et Sciences Humaines 1 Mediterranean Journal of Mathematics 1 Computational Management Science 1 Bollettino della Unione Matematica Italiana. Series IV 1 SIAM Journal on Control 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Grundlehren der Mathematischen Wissenschaften 1 Méthodes Mathématiques de l’Informatique 1 Studies in Economic Theory 1 Dynamic Games and Applications 1 Mathematical Engineering 1 Static & Dynamic Game Theory: Foundations & Applications 1 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts 1 Probability, Uncertainty and Quantitative Risk all top 5 Fields 76 Calculus of variations and optimal control; optimization (49-XX) 57 Systems theory; control (93-XX) 47 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 40 Ordinary differential equations (34-XX) 32 Operations research, mathematical programming (90-XX) 25 Partial differential equations (35-XX) 21 Functional analysis (46-XX) 18 Operator theory (47-XX) 13 General topology (54-XX) 12 Real functions (26-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Measure and integration (28-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Numerical analysis (65-XX) 7 General and overarching topics; collections (00-XX) 7 Biology and other natural sciences (92-XX) 6 Probability theory and stochastic processes (60-XX) 6 Computer science (68-XX) 5 Mathematical logic and foundations (03-XX) 3 History and biography (01-XX) 2 Mechanics of particles and systems (70-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 144 Publications have been cited 5,107 times in 4,237 Documents Cited by ▼ Year ▼ Differential inclusions. Set-valued maps and viability theory. Zbl 0538.34007Aubin, Jean-Pierre; Cellina, Arrigo 900 1984 Set-valued analysis. Zbl 0713.49021Aubin, Jean-Pierre; Frankowska, Hélène 837 1990 Applied nonlinear analysis. Zbl 0641.47066Aubin, Jean-Pierre; Ekeland, Ivar 677 1984 Un théorème de compacité. Zbl 0195.13002Aubin, Jean-Pierre 281 1963 Mathematical methods of game and economic theory. Zbl 0452.90093Aubin, Jean-Pierre 229 1979 Viability theory. Zbl 0755.93003Aubin, Jean-Pierre 205 1991 Lipschitz behavior of solutions to convex minimization problems. Zbl 0539.90085Aubin, Jean-Pierre 182 1984 Cooperative fuzzy games. Zbl 0496.90092Aubin, Jean-Pierre 112 1981 Approximation of elliptic boundary-value problems. Zbl 0248.65063Aubin, Jean-Pierre 99 1972 Set-valued analysis. Reprint of the 1990 original. Zbl 1168.49014Aubin, Jean-Pierre; Frankowska, Hélène 84 2009 Applied functional analysis. Exercises by Bernard Cornet and Jean-Michel Lasry. Transl. by Carole Labrousse. Zbl 0424.46001Aubin, Jean-Pierre 67 1979 Fixed points and stationary points of dissipative multivalued maps. Zbl 0446.47049Aubin, Jean-Pierre; Siegel, Jerrold 65 1980 Shadow prices and duality for a class of optimal control problems. Zbl 0439.49018Aubin, J. P.; Clarke, F. H. 58 1979 L’analyse non linéare et ses motivations économiques. Zbl 0551.90001Aubin, Jean-Pierre 57 1984 Coeur et valeur des jeux flous à paiements lateraux. Zbl 0297.90128Aubin, Jean-Pierre 56 1974 Impulse differential inclusions: a viability approach to hybrid systems. Zbl 1364.49018Aubin, Jean-Pierre; Lygeros, John; Quincampoix, Marc; Sastry, Shankar; Seube, Nicolas 50 2002 Optima and equilibria: an introduction to nonlinear analysis. Translated from French by Stephen Wilson. Zbl 0781.90012Aubin, Jean-Pierre 46 1993 Viability theory. New directions. 2nd ed. Zbl 1238.93001Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick 46 2011 The viability theorem for stochastic differential inclusions. Zbl 0931.60059Aubin, Jean-Pierre; Da Prato, Giuseppe 45 1998 Mutational and morphological analysis. Tools for shape evolution and morphogenesis. Zbl 0923.58005Aubin, Jean-Pierre 38 1999 Applied nonlinear analysis. Reprint of the 1984 original. Zbl 1115.47049Aubin, Jean-Pierre; Ekeland, Ivar 36 2006 Viability theory. 2nd printing. Zbl 1179.93001Aubin, Jean-Pierre 35 2009 Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions. Zbl 0484.47034Aubin, Jean Pierre 34 1981 Behavior of the error of the approximate solutions of boundary value problems for linear elliptic operators by Galerkin’s and finite difference methods. Zbl 0276.65052Aubin, Jean Pierre 34 1967 A survey of viability theory. Zbl 0714.49021Aubin, Jean-Pierre 32 1990 Mutational equations in metrics spaces. Zbl 0784.34015Aubin, Jean-Pierre 31 1993 Stochastic viability and invariance. Zbl 0741.60046Aubin, Jean-Pierre; da Prato, Giuseppe 31 1990 Fuzzy differential inclusions. Zbl 0718.93039Aubin, J.-P. 31 1990 Optima and equilibria. An introduction to nonlinear analysis. Transl. from the French by Stephen Wilson. 2nd ed. Zbl 0930.91001Aubin, Jean-Pierre 28 1998 Controllability of convex processes. Zbl 0607.49025Aubin, Jean-Pierre; Frankowska, Halina; Olech, Czesław 27 1986 Estimates of the duality gap in nonconvex optimization. Zbl 0366.90102Aubin, J. P.; Ekeland, I. 25 1976 Dynamic economic theory. A viability approach. Zbl 0876.90032Aubin, Jean-Pierre 23 1997 On inverse function theorems for set-valued maps. Zbl 0643.46033Aubin, Jean-Pierre; Frankowska, Halina 22 1987 Monotone invariant solutions to differential inclusions. Zbl 0405.34049Clarke, Frank H.; Aubin, J.-P. 22 1977 Abstract boundary-value operators and their adjoints. Zbl 0247.47042Aubin, Jean-Pierre 21 1970 Approximation des espaces de distributions et des opérateurs différentiels. Zbl 0157.21901Aubin, J.-P. 20 1967 Applied abstract analysis. Exercises by Bernard Cornet and Herve Moulin. Translated by Carole Labrousse. Zbl 0393.54001Aubin, Jean-Pierre 19 1977 Stochastic Nagumo’s viability theorem. Zbl 0816.60053Aubin, J. P.; Da Prato, Giuseppe 17 1995 Viability kernels and capture basins of sets under differential inclusions. Zbl 1025.49016Aubin, Jean-Pierre 17 2001 Applied functional analysis. Exercises by Bernard Cornet and Jean-Michel Lasry. Transl. by Carole Labrousse. 2nd ed. Zbl 0946.46001Aubin, Jean-Pierre 16 2000 Locally Lipschitz cooperative games. Zbl 0461.90086Aubin, Jean-Pierre 15 1981 History path dependent optimal control and portfolio valuation and management. Zbl 1031.93092Aubin, J.-P.; Haddad, G. 14 2002 Comportement lipschitzien des solutions de problèmes de minimisation convexes. Zbl 0503.49022Aubin, Jean-Pierre 12 1982 Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints. Zbl 1171.49005Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick 12 2008 Poincaré’s recurrence theorem for set-valued dynamical systems. Zbl 0760.54026Aubin, Jean-Pierre; Frankowska, Hélène; Lasota, Andrzej 12 1991 Gradients généralises de Clarke. Zbl 0411.49001Aubin, Jean-Pierre 12 1978 Approximation des problèmes aux limites non homogènes pour des opérateurs non linéaires. Zbl 0216.17103Aubin, J.-P. 12 1970 Coeur et équilibres des jeux flous sans paiements lateraux. Zbl 0297.90129Aubin, Jean-Pierre 12 1974 The interval market model in mathematical finance. Game-theoretic methods. Zbl 1279.91005Bernhard, Pierre; Engwerda, Jacob C.; Roorda, Berend; Schumacher, Johannes M.; Kolokoltsov, Vassili; Saint-Pierre, Patrick; Aubin, Jean-Pierre 12 2013 Monotone trajectories of multivalued dynamical systems. Zbl 0392.49019Aubin, Jean-Pierre; Cellina, Arrigo; Nohel, John 11 1978 Interpolation et approximation optimales et ’spline functions’. Zbl 0188.43702Aubin, J.-P. 11 1968 Stochastic invariance for differential inclusions. Zbl 0976.49016Aubin, Jean-Pierre; da Prato, Giuseppe; Frankowska, Hélène 11 2000 Controllability and observability of control systems under uncertainty. Zbl 0745.93004Aubin, Jean-Pierre; Frankowska, Halina 10 1990 Viability kernel of control systems. Zbl 0738.93002Aubin, J.-P.; Frankowska, H. 10 1991 Fuzzy systems, viability theory and toll sets. Zbl 0930.93051Aubin, J. P.; Dordan, O. 10 1998 Evaluation des erreurs de troncature des approximations des espaces de Sobolev. Zbl 0162.18102Aubin, J.-P. 10 1968 Mathematical methods of game and economic theory. With a new preface by the author. Reprint of the 1982 revised ed. Zbl 1152.91005Aubin, Jean-Pierre 9 2007 Macroscopic traffic models: shifting from densities to “celerities”. Zbl 1198.90081Aubin, Jean-Pierre 9 2010 The viability kernel algorithm for computing value functions of infinite horizon optimal control problems. Zbl 0862.65039Aubin, Jean-Pierre; Frankowska, Hélène 9 1996 Approximation des problèmes aux limites non homogènes et régularité de la convergence. Zbl 0201.12601Aubin, J.-P. 9 1969 Characterization of stochastic viability of any nonsmooth set involving its generalized contingent curvature. Zbl 1030.60045Aubin, Jean-Pierre; Doss, Halim 9 2003 Boundary-value problems for systems of Hamilton–Jacobi–Bellman inclusions with constraints. Zbl 1025.49017Aubin, Jean-Pierre 8 2002 Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions. Zbl 0879.35096Aubin, Jean-Pierre; Frankowska, Halina 8 1997 Hyperbolic systems of partial differential inclusions. Zbl 0754.49005Aubin, Jean-Pierre; Frankowska, Hélène 7 1991 A note on differential calculus in metric spaces and its applications to the evolution of tubes. Zbl 0780.49014Aubin, Jean-Pierre 7 1992 Some aspects of the method of the hypercircle applied to elliptic variational problems. Zbl 0264.65069Aubin, Jean Pierre; Burchard, Hermann G. 7 1971 Boundary-value problems for systems of first-order partial differential inclusions. Zbl 0955.35016Aubin, Jean-Pierre 6 2000 Multiplicateurs de Lagrange en optimisation non convexe et applications. Zbl 0365.90105Aubin, Jean-Pierre; Clarke, Frank H. 6 1977 Analyse convexe et ses applications. Comptes rendus, janvier 1974. Zbl 0285.00008 6 1974 Viability solutions to structured Hamilton-Jacobi equations under constraints. Zbl 1239.49003Aubin, Jean-Pierre 5 2011 Best approximation of linear operators in Hilbert spaces. Zbl 0176.13101Aubin, Jean-Pierre 5 1968 Stable approximations of set-valued maps. Zbl 0681.54012Aubin, Jean-Pierre; Wets, Roger J. B. 5 1988 Introduction: Set-valued analysis in control theory. Zbl 0962.49001Aubin, Jean-Pierre; Frankowska, Hélène 5 2000 Cadenced runs of impulse and hybrid control systems. Zbl 0981.34054Aubin, Jean-Pierre; Haddad, Georges 5 2001 Foundation of applied analysis. (Initiation á l’analyse appliquée.) Zbl 0809.90002Aubin, Jean-Pierre 4 1994 Propriété de Perron-Frobenius pour des correspondances. Zbl 0453.47037Aubin, Jean-Pierre 4 1978 Second-order evolution equations associated with convex Hamiltonians. Zbl 0429.35042Aubin, J. P.; Ekeland, I. 4 1980 Optimal approximation and characterization of the error and stability functions in Banach spaces. Zbl 0222.46011Aubin, Jean Pierre 4 1970 Inclusions aux dérivées partielles gouvernant des contrôles de rétroaction. (Partial differential inclusions governing feedback controls). Zbl 0722.93034Aubin, Jean-Pierre; Frankowska, Hélène 4 1990 Traffic networks as information systems. A viability approach. Zbl 1356.90002Aubin, Jean-Pierre; Désilles, Anya 4 2017 Path-dependent impulse and hybrid systems. Zbl 0995.49019Aubin, Jean-Pierre; Haddad, George 3 2002 Neural networks and qualitative physics. Zbl 0920.68100Aubin, Jean-Pierre 3 1996 Minimisation de critères intégraux. Zbl 0321.49007Aubin, Jean-Pierre; Ekeland, Ivar 3 1975 Approximation of elliptic boundary-value problems. Reprint of the corrected 1980 ed. Zbl 1191.65139Aubin, Jean-Pierre 3 2007 Contingent solutions to the center manifold equation. Zbl 0745.34039Aubin, Jean-Pierre; Da Prato, Giuseppe 3 1992 Optimal impulse control problems and quasi-variational inequalities thirty years later: a viability approach. Zbl 1089.93543Aubin, Jean-Pierre 3 2001 Further properties of Lagrange multipliers in nonsmooth optimization. Zbl 0432.49025Aubin, Jean-Pierre 3 1980 Solutions contingentes de l’équation de la variété centrale. (Contingent solutions to the center manifold equation). Zbl 0714.34072Aubin, Jean-Pierre; Da Prato, Giuseppe 3 1990 Systèmes hyperboliques d’inclusions aux dérivées partielles. (Hyperbolic systems of partial differential inclusions). Zbl 0722.35052Aubin, Jean-Pierre; Frankowska, Hélène 3 1991 Dynamic management of portfolios with transaction costs under tychastic uncertainty. Zbl 1126.91355Aubin, Jean-Pierre; Pujal, Dominique; Saint-Pierre, Patrick 3 2005 Conditional viability for impulse differential games. Zbl 1138.91346Aubin, Jean-Pierre; Seube, Nicolas 3 2005 Nonlinear structured population dynamics with covariates. Zbl 0981.92024Aubin, Jean-Pierre; Bonneuil, Noël; Maurin, Franck 3 2000 Retrospective-prospective differential inclusions and their Control by the differential connection tensors of their evolutions: the trendometer. Zbl 1357.49069Aubin, Jean-Pierre; Chen, Luxi; Dordan, Olivier 3 2014 Boundary-value problems for systems of Hamilton-Jacobi-Bellman inclusions with constraints. Zbl 1043.49029Aubin, Jean-Pierre 2 2003 Bilateral fixed-points and algebraic properties of viability kernels and capture basins of sets. Zbl 1016.93030Aubin, Jean-Pierre; Catté, Francine 2 2002 Existence de trajectoires monotones de systèmes dynamiques multivoques discrets. Zbl 0321.49008Aubin, Jean-Pierre; Nohel, John 2 1976 Victory and defeat in differential games. Zbl 0682.90107Aubin, Jean-Pierre 2 1989 Some remarks on the representation of non autonomous dynamic systems in infinite dimensions. Zbl 0503.93011Aubin, Jean-Pierre; Bensoussan, Alain 2 1979 Théoreme du minimax pour une classe de fonctions. Zbl 0265.49005Aubin, Jean-Pierre 2 1972 Impulse capture basins of sets under impulse control systems. Zbl 1019.93023Aubin, Jean-Pierre; Haddad, Georges 2 2002 Traffic networks as information systems. A viability approach. Zbl 1356.90002Aubin, Jean-Pierre; Désilles, Anya 4 2017 A survey on Galois stratifications and measures of viability risk. Zbl 1355.49013Aubin, Jean-Pierre; Dordan, Olivier 1 2016 Regulation of viable and optimal cohorts. Zbl 1325.35006Aubin, Jean-Pierre 1 2015 Cournot maps for intercepting evader evolutions by a pursuer. Zbl 1348.91058Aubin, Jean-Pierre; Luxi, Chen; Désilles, Anya 1 2015 Generalized Lax-Hopf formulas for Cournot maps and Hamilton-Jacobi-McKendrick equations. Zbl 1329.49026Aubin, Jean-Pierre; Chen, Luxi 1 2015 Retrospective-prospective differential inclusions and their Control by the differential connection tensors of their evolutions: the trendometer. Zbl 1357.49069Aubin, Jean-Pierre; Chen, Luxi; Dordan, Olivier 3 2014 Time and money. How long and how much money is needed to regulate a viable economy. Zbl 1290.91004Aubin, Jean-Pierre 2 2014 Tychastic measure of viability risk. Zbl 1307.91006Aubin, Jean-Pierre; Chen, Luxi; Dordan, Olivier 1 2014 The interval market model in mathematical finance. Game-theoretic methods. Zbl 1279.91005Bernhard, Pierre; Engwerda, Jacob C.; Roorda, Berend; Schumacher, Johannes M.; Kolokoltsov, Vassili; Saint-Pierre, Patrick; Aubin, Jean-Pierre 12 2013 Lax-Hopf formula and Max-Plus properties of solutions to Hamilton-Jacobi equations. Zbl 1269.49023Aubin, Jean-Pierre 2 2013 Chaperoning state evolutions by variable durations. Zbl 1357.49109Aubin, Jean-Pierre 1 2013 Regulation of births for viability of populations governed by age-structured problems. Zbl 1245.35132Aubin, Jean-Pierre 2 2012 Viability theory. New directions. 2nd ed. Zbl 1238.93001Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick 46 2011 Viability solutions to structured Hamilton-Jacobi equations under constraints. Zbl 1239.49003Aubin, Jean-Pierre 5 2011 Macroscopic traffic models: shifting from densities to “celerities”. Zbl 1198.90081Aubin, Jean-Pierre 9 2010 Set-valued analysis. Reprint of the 1990 original. Zbl 1168.49014Aubin, Jean-Pierre; Frankowska, Hélène 84 2009 Viability theory. 2nd printing. Zbl 1179.93001Aubin, Jean-Pierre 35 2009 Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints. Zbl 1171.49005Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick 12 2008 Viability kernels and capture basins for analyzing the dynamic behavior: Lorenz attractors, Julia sets, and Hutchinson’s maps. Zbl 1159.37017Aubin, Jean-Pierre; Saint-Pierre, Patrick 1 2008 Mathematical methods of game and economic theory. With a new preface by the author. Reprint of the 1982 revised ed. Zbl 1152.91005Aubin, Jean-Pierre 9 2007 Approximation of elliptic boundary-value problems. Reprint of the corrected 1980 ed. Zbl 1191.65139Aubin, Jean-Pierre 3 2007 Applied nonlinear analysis. Reprint of the 1984 original. Zbl 1115.47049Aubin, Jean-Pierre; Ekeland, Ivar 36 2006 A viability approach to the inverse set-valued map theorem. Zbl 1111.49012Aubin, Jean-Pierre 1 2006 Dynamic management of portfolios with transaction costs under tychastic uncertainty. Zbl 1126.91355Aubin, Jean-Pierre; Pujal, Dominique; Saint-Pierre, Patrick 3 2005 Conditional viability for impulse differential games. Zbl 1138.91346Aubin, Jean-Pierre; Seube, Nicolas 3 2005 Dynamic core of fuzzy dynamical cooperative games. Zbl 1181.91030Aubin, Jean-Pierre 2 2005 Constructing and exploring wells of energy landscapes. Zbl 1067.34012Aubin, Jean-Pierre; Lesne, Annick 1 2005 Characterization of stochastic viability of any nonsmooth set involving its generalized contingent curvature. Zbl 1030.60045Aubin, Jean-Pierre; Doss, Halim 9 2003 Boundary-value problems for systems of Hamilton-Jacobi-Bellman inclusions with constraints. Zbl 1043.49029Aubin, Jean-Pierre 2 2003 Impulse differential inclusions: a viability approach to hybrid systems. Zbl 1364.49018Aubin, Jean-Pierre; Lygeros, John; Quincampoix, Marc; Sastry, Shankar; Seube, Nicolas 50 2002 History path dependent optimal control and portfolio valuation and management. Zbl 1031.93092Aubin, J.-P.; Haddad, G. 14 2002 Boundary-value problems for systems of Hamilton–Jacobi–Bellman inclusions with constraints. Zbl 1025.49017Aubin, Jean-Pierre 8 2002 Path-dependent impulse and hybrid systems. Zbl 0995.49019Aubin, Jean-Pierre; Haddad, George 3 2002 Bilateral fixed-points and algebraic properties of viability kernels and capture basins of sets. Zbl 1016.93030Aubin, Jean-Pierre; Catté, Francine 2 2002 Impulse capture basins of sets under impulse control systems. Zbl 1019.93023Aubin, Jean-Pierre; Haddad, Georges 2 2002 Dynamical qualitative analysis of evolutionary systems. Zbl 1059.49006Aubin, Jean-Pierre; Dordan, Olivier 2 2002 The substratum of impulse and hybrid control systems. Zbl 0995.49020Aubin, Jean-Pierre 1 2002 Viability kernels and capture basins of sets under differential inclusions. Zbl 1025.49016Aubin, Jean-Pierre 17 2001 Cadenced runs of impulse and hybrid control systems. Zbl 0981.34054Aubin, Jean-Pierre; Haddad, Georges 5 2001 Optimal impulse control problems and quasi-variational inequalities thirty years later: a viability approach. Zbl 1089.93543Aubin, Jean-Pierre 3 2001 Applied functional analysis. Exercises by Bernard Cornet and Jean-Michel Lasry. Transl. by Carole Labrousse. 2nd ed. Zbl 0946.46001Aubin, Jean-Pierre 16 2000 Stochastic invariance for differential inclusions. Zbl 0976.49016Aubin, Jean-Pierre; da Prato, Giuseppe; Frankowska, Hélène 11 2000 Boundary-value problems for systems of first-order partial differential inclusions. Zbl 0955.35016Aubin, Jean-Pierre 6 2000 Introduction: Set-valued analysis in control theory. Zbl 0962.49001Aubin, Jean-Pierre; Frankowska, Hélène 5 2000 Nonlinear structured population dynamics with covariates. Zbl 0981.92024Aubin, Jean-Pierre; Bonneuil, Noël; Maurin, Franck 3 2000 Special issue on set-valued analysis in control theory. Zbl 0956.00020 1 2000 Mutational and morphological analysis. Tools for shape evolution and morphogenesis. Zbl 0923.58005Aubin, Jean-Pierre 38 1999 The viability theorem for stochastic differential inclusions. Zbl 0931.60059Aubin, Jean-Pierre; Da Prato, Giuseppe 45 1998 Optima and equilibria. An introduction to nonlinear analysis. Transl. from the French by Stephen Wilson. 2nd ed. Zbl 0930.91001Aubin, Jean-Pierre 28 1998 Fuzzy systems, viability theory and toll sets. Zbl 0930.93051Aubin, J. P.; Dordan, O. 10 1998 Dynamic economic theory. A viability approach. Zbl 0876.90032Aubin, Jean-Pierre 23 1997 Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions. Zbl 0879.35096Aubin, Jean-Pierre; Frankowska, Halina 8 1997 The viability kernel algorithm for computing value functions of infinite horizon optimal control problems. Zbl 0862.65039Aubin, Jean-Pierre; Frankowska, Hélène 9 1996 Neural networks and qualitative physics. Zbl 0920.68100Aubin, Jean-Pierre 3 1996 Stochastic Nagumo’s viability theorem. Zbl 0816.60053Aubin, J. P.; Da Prato, Giuseppe 17 1995 Stochastic Lyapunov method. Zbl 0839.34067Aubin, Jean-Pierre; Da Prato, Giuseppe 1 1995 Partial differential inclusions governing feedback controls. Zbl 0840.93041Aubin, Jean-Pierre; Frankowska, Hélène 1 1995 Foundation of applied analysis. (Initiation á l’analyse appliquée.) Zbl 0809.90002Aubin, Jean-Pierre 4 1994 The “Montagnes Russes” algorithm for global optimization. (L’algorithme des Montagnes Russes pour l’optimisation globale.) Zbl 0809.65065Aubin, Jean-Pierre; Najman, Laurent 1 1994 Optima and equilibria: an introduction to nonlinear analysis. Translated from French by Stephen Wilson. Zbl 0781.90012Aubin, Jean-Pierre 46 1993 Mutational equations in metrics spaces. Zbl 0784.34015Aubin, Jean-Pierre 31 1993 A note on differential calculus in metric spaces and its applications to the evolution of tubes. Zbl 0780.49014Aubin, Jean-Pierre 7 1992 Contingent solutions to the center manifold equation. Zbl 0745.34039Aubin, Jean-Pierre; Da Prato, Giuseppe 3 1992 Viability theory. Zbl 0755.93003Aubin, Jean-Pierre 205 1991 Poincaré’s recurrence theorem for set-valued dynamical systems. Zbl 0760.54026Aubin, Jean-Pierre; Frankowska, Hélène; Lasota, Andrzej 12 1991 Viability kernel of control systems. Zbl 0738.93002Aubin, J.-P.; Frankowska, H. 10 1991 Hyperbolic systems of partial differential inclusions. Zbl 0754.49005Aubin, Jean-Pierre; Frankowska, Hélène 7 1991 Systèmes hyperboliques d’inclusions aux dérivées partielles. (Hyperbolic systems of partial differential inclusions). Zbl 0722.35052Aubin, Jean-Pierre; Frankowska, Hélène 3 1991 Feedback controls for uncertain systems. Zbl 0734.93052Aubin, J.-P.; Frankowska, H. 2 1991 Set-valued analysis. Zbl 0713.49021Aubin, Jean-Pierre; Frankowska, Hélène 837 1990 A survey of viability theory. Zbl 0714.49021Aubin, Jean-Pierre 32 1990 Stochastic viability and invariance. Zbl 0741.60046Aubin, Jean-Pierre; da Prato, Giuseppe 31 1990 Fuzzy differential inclusions. Zbl 0718.93039Aubin, J.-P. 31 1990 Controllability and observability of control systems under uncertainty. Zbl 0745.93004Aubin, Jean-Pierre; Frankowska, Halina 10 1990 Inclusions aux dérivées partielles gouvernant des contrôles de rétroaction. (Partial differential inclusions governing feedback controls). Zbl 0722.93034Aubin, Jean-Pierre; Frankowska, Hélène 4 1990 Solutions contingentes de l’équation de la variété centrale. (Contingent solutions to the center manifold equation). Zbl 0714.34072Aubin, Jean-Pierre; Da Prato, Giuseppe 3 1990 Viability kernels, controlled invariance and zero dynamics for nonlinear systems. Zbl 0713.93026Aubin, Jean Pierre; Byrnes, Christopher I.; Isidori, Alberto 2 1990 Victory and defeat in differential games. Zbl 0682.90107Aubin, Jean-Pierre 2 1989 Observability of systems under uncertainty. Zbl 0689.93007Aubin, Jean-Pierre; Frankowska, Halina 2 1989 Smallest Lyapunov functions of differential inclusions. Zbl 0723.34036Aubin, Jean-Pierre 2 1989 Stable approximations of set-valued maps. Zbl 0681.54012Aubin, Jean-Pierre; Wets, Roger J. B. 5 1988 Permanence and viability. Zbl 0659.93059Aubin, Jean-Pierre; Sigmund, Karl 2 1988 Observabilité des systèmes sous incertitude. (Observability of systems under uncertainty). Zbl 0682.93014Aubin, Jean-Pierre; Frankowska, Halina 1 1988 On inverse function theorems for set-valued maps. Zbl 0643.46033Aubin, Jean-Pierre; Frankowska, Halina 22 1987 Analyse fonctionnelle appliquée. Tomes 1, 2. Exercises rédigés par Bernard Cornet et Jean-Michel Lasry. (Traduction d’anglais). Mathématiques. Zbl 0654.46001Aubin, Jean-Pierre 1 1987 Controllability of convex processes. Zbl 0607.49025Aubin, Jean-Pierre; Frankowska, Halina; Olech, Czesław 27 1986 Heavy viable trajectories of controlled systems. Zbl 0585.49023Aubin, Jean-Pierre; Frankowska, Halina 2 1985 Dynamics of macrosystems. Proceedings of a Workshop on the Dynamics of Macrosystems Held at the International Institute for Applied Systems Analysis (IIASA), Laxenburg, Austria, September 3-7, 1984. Zbl 0572.00024 1 1985 Contrôlabilité des processus convexes (Controllability of convex processes). Zbl 0584.49023Aubin, Jean-Pierre; Frankowska, Halina; Olech, Czeslaw 1 1985 Differential inclusions. Set-valued maps and viability theory. Zbl 0538.34007Aubin, Jean-Pierre; Cellina, Arrigo 900 1984 Applied nonlinear analysis. Zbl 0641.47066Aubin, Jean-Pierre; Ekeland, Ivar 677 1984 Lipschitz behavior of solutions to convex minimization problems. Zbl 0539.90085Aubin, Jean-Pierre 182 1984 L’analyse non linéare et ses motivations économiques. Zbl 0551.90001Aubin, Jean-Pierre 57 1984 Slow and heavy viable trajectories of controlled problems. Smooth viability domains. Zbl 0558.49017Aubin, Jean-Pierre 2 1984 Trajectoires lourdes de systèmes contrôlés. Zbl 0561.49011Aubin, Jean-Pierre; Frankowska, Halina 2 1984 Cooperative fuzzy games: the static and dynamic points of view. Zbl 0545.90104Aubin, Jean-Pierre 1 1984 Comportement lipschitzien des solutions de problèmes de minimisation convexes. Zbl 0523.49012Aubin, J. P. 1 1983 Comportement lipschitzien des solutions de problèmes de minimisation convexes. Zbl 0503.49022Aubin, Jean-Pierre 12 1982 Méthodes explicites de l’optimisation. Moduleco: Pierre Nepomiastchy. Exercices: Anne-Marie Charles. Zbl 0498.90051Aubin, Jean-Pierre 1 1982 Cooperative fuzzy games. Zbl 0496.90092Aubin, Jean-Pierre 112 1981 ...and 44 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,401 Authors 47 Li, Shengjie 46 Frankowska, Hélène 41 Yao, Jen-Chih 39 Aubin, Jean-Pierre 32 Huang, Nan-Jing 27 Quincampoix, Marc 25 Ding, Xie Ping 25 Migórski, Stanisław 25 Penot, Jean-Paul 25 Pham Huu Sach 24 Phan Quôc Khánh 21 Mordukhovich, Boris S. 19 Włodarczyk, Kazimierz 19 Nguyen Dong Yen 18 Anh, Nguyen Le Hoang 18 Bressan, Alberto 18 Huang, Lihong 18 Papageorgiou, Nikolaos S. 17 Seeger, Alberto 17 Shakhmurov, Veli B. 16 Cannarsa, Piermarco 16 Flåm, Sjur Didrik 16 Liu, Zhenhai 16 Lorenz, Thomas 15 Agarwal, Ravi P. 15 Anh, Lam Quoc 15 Kloeden, Peter Eris 15 Lee, Gue Myung 15 O’Regan, Donal 14 Danca, Marius-Florin 14 Jeong, Jin-Mun 14 Mahmudov, Elimhan Nadir 14 Michta, Mariusz 14 Outrata, Jiří V. 14 Plebaniak, Robert 14 Shehu, Yekini 13 Adly, Samir 13 Donchev, Tzanko Donchev 13 Morgan, Jacqueline 12 Ansari, Qamrul Hasan 12 Beer, Gerald Alan 12 Chikriĭ, Arkadiĭ Alekseevich 12 Colombo, Giovanni 12 Cubiotti, Paolo 12 Jiménez-Losada, Andrés 12 Peng, Zaiyun 11 Cao, Jinde 11 Cârjă, Ovidiu 11 Cernea, Aurelian 11 Cho, Yeol Je 11 Geoffroy, Michel H. 11 Liao, Yu-Hsien 11 Rockafellar, Ralph Tyrrell 11 Teel, Andrew Richard 11 Wang, Qilin 11 Yang, Xinmin 10 Benchohra, Mouffak 10 Butnariu, Dan 10 Goreac, Dan 10 Hung, Nguyen Van 10 Ioffe, Alexander Davidovich 10 Nieto Roig, Juan Jose 10 Piétrus, Alain 10 Serea, Oana-Silvia 10 Tijs, Stef H. 10 Yang, Xiaoqi 10 Ye, Jane J. 10 Zeng, Shengda 9 Attouch, Hedy 9 Azé, Dominique 9 Bonneuil, Noël 9 Doyen, Luc 9 Gao, Yan 9 Kassay, Gábor 9 Kim, Won Kyu 9 Lin, Lai-Jiu 9 Liu, Jiuqiang 9 Malinowski, Marek T. 9 Rieger, Janosch 9 Saint-Pierre, Patrick 9 Tanaka, Kensuke 9 Teo, Kok Lay 9 Ton, Bui An 9 Tung, Le Thanh 9 Wangkeeree, Rabian 9 Wets, Roger Jean-Baptiste 8 Bettiol, Piernicola 8 Chen, Guangya 8 Clark, Haroldo Rodrigues 8 Da Prato, Giuseppe 8 de Lara, Michel 8 De Marco, Giuseppe 8 Duan, Lian 8 Durea, Marius 8 Guseinov, Khalik G. 8 Hilout, Saïd 8 Huang, Jun 8 Iyiola, Olaniyi Samuel 8 Klimov, Vladimir Stepanovich 8 Křivan, Vlastimil ...and 4,301 more Authors all top 5 Cited in 546 Serials 301 Journal of Optimization Theory and Applications 188 Journal of Mathematical Analysis and Applications 108 Nonlinear Analysis. 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Mathematics of Control, Signals, and Systems 13 Vietnam Journal of Mathematics 12 Computer Methods in Applied Mechanics and Engineering 12 Calcolo 12 Rendiconti del Circolo Matemàtico di Palermo. Serie II 12 Soft Computing 12 Journal of Evolution Equations 12 Boundary Value Problems 12 Journal of Industrial and Management Optimization 11 Ukrainian Mathematical Journal 11 Mathematics of Computation 11 Computing 11 Zeitschrift für Analysis und ihre Anwendungen 11 Discrete and Continuous Dynamical Systems 10 Chaos, Solitons and Fractals 10 Acta Mathematicae Applicatae Sinica. English Series 10 SIAM Journal on Mathematical Analysis 10 Topological Methods in Nonlinear Analysis 10 Filomat 10 Journal of Systems Science and Complexity 10 Communications on Pure and Applied Analysis 10 Fuzzy Optimization and Decision Making 9 Mathematical Biosciences 9 Archiv der Mathematik 9 Results in Mathematics 9 Journal of Mathematical Imaging and Vision 9 Journal of Applied Mathematics 8 Israel Journal of Mathematics ...and 446 more Serials all top 5 Cited in 57 Fields 1,482 Calculus of variations and optimal control; optimization (49-XX) 1,010 Operations research, mathematical programming (90-XX) 698 Ordinary differential equations (34-XX) 661 Partial differential equations (35-XX) 617 Operator theory (47-XX) 614 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 591 Systems theory; control (93-XX) 397 Numerical analysis (65-XX) 297 General topology (54-XX) 215 Real functions (26-XX) 212 Probability theory and stochastic processes (60-XX) 211 Functional analysis (46-XX) 171 Dynamical systems and ergodic theory (37-XX) 140 Biology and other natural sciences (92-XX) 136 Global analysis, analysis on manifolds (58-XX) 128 Mechanics of deformable solids (74-XX) 120 Fluid mechanics (76-XX) 84 Measure and integration (28-XX) 68 Computer science (68-XX) 55 Integral equations (45-XX) 55 Convex and discrete geometry (52-XX) 45 Approximations and expansions (41-XX) 39 Statistics (62-XX) 38 Mathematical logic and foundations (03-XX) 34 Mechanics of particles and systems (70-XX) 31 Information and communication theory, circuits (94-XX) 26 Difference and functional equations (39-XX) 24 Statistical mechanics, structure of matter (82-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 18 Quantum theory (81-XX) 13 Combinatorics (05-XX) 13 Sequences, series, summability (40-XX) 13 Differential geometry (53-XX) 13 Algebraic topology (55-XX) 12 Geophysics (86-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 History and biography (01-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Potential theory (31-XX) 7 Optics, electromagnetic theory (78-XX) 6 Manifolds and cell complexes (57-XX) 4 General and overarching topics; collections (00-XX) 4 Algebraic geometry (14-XX) 4 Integral transforms, operational calculus (44-XX) 3 Category theory; homological algebra (18-XX) 3 Geometry (51-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Abstract harmonic analysis (43-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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