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Author ID: aubin.jean-pierre Recent zbMATH articles by "Aubin, Jean-Pierre"
Published as: Aubin, Jean-Pierre; Aubin, J.-P.; Aubin, J. P.; Aubin, Jean Pierre
Homepage: http://vimades.com/aubin/
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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 Research Reports. International Institute for Applied Systems Analysis, Laxenburg
1 Méthodes Mathématiques de l’Informatique
1 Studies in Economic Theory
1 Studies in Mathematics and its Applications
1 Dynamic Games and Applications
1 Research Notes in Mathematics (San Francisco)
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

Publications by Year

Citations contained in zbMATH Open

152 Publications have been cited 8,414 times in 6,816 Documents Cited by Year
Differential inclusions. Set-valued maps and viability theory. Zbl 0538.34007
Aubin, Jean-Pierre; Cellina, Arrigo
1984
Set-valued analysis. Zbl 0713.49021
Aubin, Jean-Pierre; Frankowska, Hélène
1990
Applied nonlinear analysis. Zbl 0641.47066
Aubin, Jean-Pierre; Ekeland, Ivar
1984
Un théorème de compacité. Zbl 0195.13002
Aubin, Jean-Pierre
319
1963
Viability theory. Zbl 0755.93003
Aubin, Jean-Pierre
290
1991
Mathematical methods of game and economic theory. Zbl 0452.90093
Aubin, Jean-Pierre
273
1979
Set-valued analysis. Reprint of the 1990 original. Zbl 1168.49014
Aubin, Jean-Pierre; Frankowska, Hélène
196
2009
Lipschitz behavior of solutions to convex minimization problems. Zbl 0539.90085
Aubin, Jean-Pierre
192
1984
Approximation of elliptic boundary-value problems. Zbl 0248.65063
Aubin, Jean-Pierre
158
1972
Applied functional analysis. Exercises by Bernard Cornet and Jean-Michel Lasry. Transl. by Carole Labrousse. Zbl 0424.46001
Aubin, Jean-Pierre
145
1979
Cooperative fuzzy games. Zbl 0496.90092
Aubin, Jean-Pierre
124
1981
Optima and equilibria: an introduction to nonlinear analysis. Translated from French by Stephen Wilson. Zbl 0781.90012
Aubin, Jean-Pierre
116
1993
Optima and equilibria. An introduction to nonlinear analysis. Transl. from the French by Stephen Wilson. 2nd ed. Zbl 0930.91001
Aubin, Jean-Pierre
89
1998
Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions. Zbl 0484.47034
Aubin, Jean Pierre
85
1981
Fixed points and stationary points of dissipative multivalued maps. Zbl 0446.47049
Aubin, Jean-Pierre; Siegel, Jerrold
67
1980
L’analyse non linéare et ses motivations économiques. Zbl 0551.90001
Aubin, Jean-Pierre
65
1984
Coeur et valeur des jeux flous à paiements lateraux. Zbl 0297.90128
Aubin, Jean-Pierre
62
1974
Shadow prices and duality for a class of optimal control problems. Zbl 0439.49018
Aubin, J. P.; Clarke, F. H.
61
1979
Viability theory. New directions. 2nd ed. Zbl 1238.93001
Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick
60
2011
Impulse differential inclusions: a viability approach to hybrid systems. Zbl 1364.49018
Aubin, Jean-Pierre; Lygeros, John; Quincampoix, Marc; Sastry, Shankar; Seube, Nicolas
57
2002
Applied functional analysis. Exercises by Bernard Cornet and Jean-Michel Lasry. Transl. by Carole Labrousse. 2nd ed. Zbl 0946.46001
Aubin, Jean-Pierre
55
2000
Applied nonlinear analysis. Reprint of the 1984 original. Zbl 1115.47049
Aubin, Jean-Pierre; Ekeland, Ivar
49
2006
Mutational and morphological analysis. Tools for shape evolution and morphogenesis. Zbl 0923.58005
Aubin, Jean-Pierre
48
1999
The viability theorem for stochastic differential inclusions. Zbl 0931.60059
Aubin, Jean-Pierre; Da Prato, Giuseppe
47
1998
Viability theory. 2nd printing. Zbl 1179.93001
Aubin, Jean-Pierre
45
2009
Behavior of the error of the approximate solutions of boundary value problems for linear elliptic operators by Galerkin’s and finite difference methods. Zbl 0276.65052
Aubin, Jean Pierre
41
1967
Applied abstract analysis. Exercises by Bernard Cornet and Herve Moulin. Translated by Carole Labrousse. Zbl 0393.54001
Aubin, Jean-Pierre
40
1977
A survey of viability theory. Zbl 0714.49021
Aubin, Jean-Pierre
36
1990
Mutational equations in metrics spaces. Zbl 0784.34015
Aubin, Jean-Pierre
36
1993
Stochastic viability and invariance. Zbl 0741.60046
Aubin, Jean-Pierre; da Prato, Giuseppe
34
1990
Dynamic economic theory. A viability approach. Zbl 0876.90032
Aubin, Jean-Pierre
34
1997
Fuzzy differential inclusions. Zbl 0718.93039
Aubin, J.-P.
32
1990
Controllability of convex processes. Zbl 0607.49025
Aubin, Jean-Pierre; Frankowska, Halina; Olech, Czesław
28
1986
Mathematical methods of game and economic theory. With a new preface by the author. Reprint of the 1982 revised ed. Zbl 1152.91005
Aubin, Jean-Pierre
28
2007
Estimates of the duality gap in nonconvex optimization. Zbl 0366.90102
Aubin, J. P.; Ekeland, I.
27
1976
On inverse function theorems for set-valued maps. Zbl 0643.46033
Aubin, Jean-Pierre; Frankowska, Halina
24
1987
Approximation des espaces de distributions et des opérateurs différentiels. Zbl 0157.21901
Aubin, J.-P.
24
1967
Monotone invariant solutions to differential inclusions. Zbl 0405.34049
Clarke, Frank H.; Aubin, J.-P.
23
1977
Abstract boundary-value operators and their adjoints. Zbl 0247.47042
Aubin, Jean-Pierre
23
1970
Viability kernels and capture basins of sets under differential inclusions. Zbl 1025.49016
Aubin, Jean-Pierre
20
2001
Stochastic Nagumo’s viability theorem. Zbl 0816.60053
Aubin, J. P.; Da Prato, Giuseppe
17
1995
Some aspects of the method of the hypercircle applied to elliptic variational problems. Zbl 0264.65069
Aubin, Jean Pierre; Burchard, Hermann G.
16
1971
The interval market model in mathematical finance. Game-theoretic methods. Zbl 1279.91005
Bernhard, Pierre; Engwerda, Jacob C.; Roorda, Berend; Schumacher, Johannes M.; Kolokoltsov, Vassili; Saint-Pierre, Patrick; Aubin, Jean-Pierre
16
2013
Locally Lipschitz cooperative games. Zbl 0461.90086
Aubin, Jean-Pierre
15
1981
Poincaré’s recurrence theorem for set-valued dynamical systems. Zbl 0760.54026
Aubin, Jean-Pierre; Frankowska, Hélène; Lasota, Andrzej
15
1991
History path dependent optimal control and portfolio valuation and management. Zbl 1031.93092
Aubin, J.-P.; Haddad, G.
15
2002
Introduction: Set-valued analysis in control theory. Zbl 0962.49001
Aubin, Jean-Pierre; Frankowska, Hélène
15
2000
Monotone trajectories of multivalued dynamical systems. Zbl 0392.49019
Aubin, Jean-Pierre; Cellina, Arrigo; Nohel, John
13
1978
Viability kernel of control systems. Zbl 0738.93002
Aubin, J.-P.; Frankowska, H.
13
1991
Comportement lipschitzien des solutions de problèmes de minimisation convexes. Zbl 0503.49022
Aubin, Jean-Pierre
12
1982
Coeur et équilibres des jeux flous sans paiements lateraux. Zbl 0297.90129
Aubin, Jean-Pierre
12
1974
Gradients généralises de Clarke. Zbl 0411.49001
Aubin, Jean-Pierre
12
1978
Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints. Zbl 1171.49005
Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick
12
2008
Approximation des problèmes aux limites non homogènes pour des opérateurs non linéaires. Zbl 0216.17103
Aubin, J.-P.
12
1970
Stochastic invariance for differential inclusions. Zbl 0976.49016
Aubin, Jean-Pierre; da Prato, Giuseppe; Frankowska, Hélène
12
2000
Controllability and observability of control systems under uncertainty. Zbl 0745.93004
Aubin, Jean-Pierre; Frankowska, Halina
11
1990
Fuzzy systems, viability theory and toll sets. Zbl 0930.93051
Aubin, J. P.; Dordan, O.
11
1998
Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions. Zbl 0879.35096
Aubin, Jean-Pierre; Frankowska, Halina
11
1997
Interpolation et approximation optimales et ’spline functions’. Zbl 0188.43702
Aubin, J.-P.
11
1968
Characterization of stochastic viability of any nonsmooth set involving its generalized contingent curvature. Zbl 1030.60045
Aubin, Jean-Pierre; Doss, Halim
10
2003
Evaluation des erreurs de troncature des approximations des espaces de Sobolev. Zbl 0162.18102
Aubin, J.-P.
10
1968
The viability kernel algorithm for computing value functions of infinite horizon optimal control problems. Zbl 0862.65039
Aubin, Jean-Pierre; Frankowska, Hélène
9
1996
Macroscopic traffic models: shifting from densities to “celerities”. Zbl 1198.90081
Aubin, Jean-Pierre
9
2010
Approximation des problèmes aux limites non homogènes et régularité de la convergence. Zbl 0201.12601
Aubin, J.-P.
9
1969
A note on differential calculus in metric spaces and its applications to the evolution of tubes. Zbl 0780.49014
Aubin, Jean-Pierre
8
1992
Boundary-value problems for systems of Hamilton–Jacobi–Bellman inclusions with constraints. Zbl 1025.49017
Aubin, Jean-Pierre
8
2002
Boundary-value problems for systems of first-order partial differential inclusions. Zbl 0955.35016
Aubin, Jean-Pierre
8
2000
Hyperbolic systems of partial differential inclusions. Zbl 0754.49005
Aubin, Jean-Pierre; Frankowska, Hélène
7
1991
Foundation of applied analysis. (Initiation á l’analyse appliquée.) Zbl 0809.90002
Aubin, Jean-Pierre
7
1994
Analyse convexe et ses applications. Comptes rendus, janvier 1974. Zbl 0285.00008
7
1974
Multiplicateurs de Lagrange en optimisation non convexe et applications. Zbl 0365.90105
Aubin, Jean-Pierre; Clarke, Frank H.
6
1977
Analyse fonctionnelle appliquée. Tomes 1, 2. Exercises rédigés par Bernard Cornet et Jean-Michel Lasry. (Traduction d’anglais). Mathématiques. Zbl 0654.46001
Aubin, Jean-Pierre
6
1987
Approximation of elliptic boundary-value problems. Reprint of the corrected 1980 ed. Zbl 1191.65139
Aubin, Jean-Pierre
6
2007
Stable approximations of set-valued maps. Zbl 0681.54012
Aubin, Jean-Pierre; Wets, Roger J. B.
5
1988
Viability solutions to structured Hamilton-Jacobi equations under constraints. Zbl 1239.49003
Aubin, Jean-Pierre
5
2011
Best approximation of linear operators in Hilbert spaces. Zbl 0176.13101
Aubin, Jean-Pierre
5
1968
Traffic networks as information systems. A viability approach. Zbl 1356.90002
Aubin, Jean-Pierre; Désilles, Anya
5
2017
Cadenced runs of impulse and hybrid control systems. Zbl 0981.34054
Aubin, Jean-Pierre; Haddad, Georges
5
2001
Second-order evolution equations associated with convex Hamiltonians. Zbl 0429.35042
Aubin, J. P.; Ekeland, I.
4
1980
Cooperative fuzzy games: the static and dynamic points of view. Zbl 0545.90104
Aubin, Jean-Pierre
4
1984
Propriété de Perron-Frobenius pour des correspondances. Zbl 0453.47037
Aubin, Jean-Pierre
4
1978
Dynamic management of portfolios with transaction costs under tychastic uncertainty. Zbl 1126.91355
Aubin, Jean-Pierre; Pujal, Dominique; Saint-Pierre, Patrick
4
2005
Conditional viability for impulse differential games. Zbl 1138.91346
Aubin, Jean-Pierre; Seube, Nicolas
4
2005
Inclusions aux dérivées partielles gouvernant des contrôles de rétroaction. (Partial differential inclusions governing feedback controls). Zbl 0722.93034
Aubin, Jean-Pierre; Frankowska, Hélène
4
1990
Optimal approximation and characterization of the error and stability functions in Banach spaces. Zbl 0222.46011
Aubin, Jean Pierre
4
1970
Time and money. How long and how much money is needed to regulate a viable economy. Zbl 1290.91004
Aubin, Jean-Pierre
4
2014
Lax-Hopf formula and Max-Plus properties of solutions to Hamilton-Jacobi equations. Zbl 1269.49023
Aubin, Jean-Pierre
4
2013
Neural networks and qualitative physics. Zbl 0920.68100
Aubin, Jean-Pierre
4
1996
Slow and heavy viable trajectories of controlled problems. Smooth viability domains. Zbl 0558.49017
Aubin, Jean-Pierre
3
1984
Minimisation de critères intégraux. Zbl 0321.49007
Aubin, Jean-Pierre; Ekeland, Ivar
3
1975
Trajectoires lourdes de systèmes contrôlés. Zbl 0561.49011
Aubin, Jean-Pierre; Frankowska, Halina
3
1984
Further properties of Lagrange multipliers in nonsmooth optimization. Zbl 0432.49025
Aubin, Jean-Pierre
3
1980
Contingent solutions to the center manifold equation. Zbl 0745.34039
Aubin, Jean-Pierre; Da Prato, Giuseppe
3
1992
Path-dependent impulse and hybrid systems. Zbl 0995.49019
Aubin, Jean-Pierre; Haddad, George
3
2002
Optimal impulse control problems and quasi-variational inequalities thirty years later: a viability approach. Zbl 1089.93543
Aubin, Jean-Pierre
3
2001
Regulation of births for viability of populations governed by age-structured problems. Zbl 1245.35132
Aubin, Jean-Pierre
3
2012
Solutions contingentes de l’équation de la variété centrale. (Contingent solutions to the center manifold equation). Zbl 0714.34072
Aubin, Jean-Pierre; Da Prato, Giuseppe
3
1990
Systèmes hyperboliques d’inclusions aux dérivées partielles. (Hyperbolic systems of partial differential inclusions). Zbl 0722.35052
Aubin, Jean-Pierre; Frankowska, Hélène
3
1991
Dynamical qualitative analysis of evolutionary systems. Zbl 1059.49006
Aubin, Jean-Pierre; Dordan, Olivier
3
2002
Étude d’une certaine classe d’équations aux dérivées partielles non linéaires. Zbl 0111.09101
Aubin, J.-P.
3
1963
The value does not exist! A motivation for extremal analysis. Zbl 07617806
Aubin, Jean-Pierre; Frankowska, Hélène
1
2022
Traffic networks as information systems. A viability approach. Zbl 1356.90002
Aubin, Jean-Pierre; Désilles, Anya
5
2017
A survey on Galois stratifications and measures of viability risk. Zbl 1355.49013
Aubin, Jean-Pierre; Dordan, Olivier
2
2016
Cournot maps for intercepting evader evolutions by a pursuer. Zbl 1348.91058
Aubin, Jean-Pierre; Luxi, Chen; Désilles, Anya
2
2015
Generalized Lax-Hopf formulas for Cournot maps and Hamilton-Jacobi-McKendrick equations. Zbl 1329.49026
Aubin, Jean-Pierre; Chen, Luxi
1
2015
Regulation of viable and optimal cohorts. Zbl 1325.35006
Aubin, Jean-Pierre
1
2015
Time and money. How long and how much money is needed to regulate a viable economy. Zbl 1290.91004
Aubin, Jean-Pierre
4
2014
Retrospective-prospective differential inclusions and their Control by the differential connection tensors of their evolutions: the trendometer. Zbl 1357.49069
Aubin, Jean-Pierre; Chen, Luxi; Dordan, Olivier
3
2014
Tychastic measure of viability risk. Zbl 1307.91006
Aubin, Jean-Pierre; Chen, Luxi; Dordan, Olivier
1
2014
The interval market model in mathematical finance. Game-theoretic methods. Zbl 1279.91005
Bernhard, Pierre; Engwerda, Jacob C.; Roorda, Berend; Schumacher, Johannes M.; Kolokoltsov, Vassili; Saint-Pierre, Patrick; Aubin, Jean-Pierre
16
2013
Lax-Hopf formula and Max-Plus properties of solutions to Hamilton-Jacobi equations. Zbl 1269.49023
Aubin, Jean-Pierre
4
2013
Chaperoning state evolutions by variable durations. Zbl 1357.49109
Aubin, Jean-Pierre
2
2013
Regulation of births for viability of populations governed by age-structured problems. Zbl 1245.35132
Aubin, Jean-Pierre
3
2012
Viability theory. New directions. 2nd ed. Zbl 1238.93001
Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick
60
2011
Viability solutions to structured Hamilton-Jacobi equations under constraints. Zbl 1239.49003
Aubin, Jean-Pierre
5
2011
Macroscopic traffic models: shifting from densities to “celerities”. Zbl 1198.90081
Aubin, Jean-Pierre
9
2010
Set-valued analysis. Reprint of the 1990 original. Zbl 1168.49014
Aubin, Jean-Pierre; Frankowska, Hélène
196
2009
Viability theory. 2nd printing. Zbl 1179.93001
Aubin, Jean-Pierre
45
2009
Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints. Zbl 1171.49005
Aubin, 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 1159.37017
Aubin, 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 1152.91005
Aubin, Jean-Pierre
28
2007
Approximation of elliptic boundary-value problems. Reprint of the corrected 1980 ed. Zbl 1191.65139
Aubin, Jean-Pierre
6
2007
Applied nonlinear analysis. Reprint of the 1984 original. Zbl 1115.47049
Aubin, Jean-Pierre; Ekeland, Ivar
49
2006
A viability approach to the inverse set-valued map theorem. Zbl 1111.49012
Aubin, Jean-Pierre
2
2006
Dynamic management of portfolios with transaction costs under tychastic uncertainty. Zbl 1126.91355
Aubin, Jean-Pierre; Pujal, Dominique; Saint-Pierre, Patrick
4
2005
Conditional viability for impulse differential games. Zbl 1138.91346
Aubin, Jean-Pierre; Seube, Nicolas
4
2005
Constructing and exploring wells of energy landscapes. Zbl 1067.34012
Aubin, Jean-Pierre; Lesne, Annick
2
2005
Dynamic core of fuzzy dynamical cooperative games. Zbl 1181.91030
Aubin, Jean-Pierre
2
2005
Fluctuation between subsets of evolutions governed by chaotic systems. Zbl 1167.37340
Saint-Pierre, Patrick; Aubin, Jean-Pierre
1
2004
Characterization of stochastic viability of any nonsmooth set involving its generalized contingent curvature. Zbl 1030.60045
Aubin, Jean-Pierre; Doss, Halim
10
2003
Boundary-value problems for systems of Hamilton-Jacobi-Bellman inclusions with constraints. Zbl 1043.49029
Aubin, Jean-Pierre
2
2003
Impulse differential inclusions: a viability approach to hybrid systems. Zbl 1364.49018
Aubin, Jean-Pierre; Lygeros, John; Quincampoix, Marc; Sastry, Shankar; Seube, Nicolas
57
2002
History path dependent optimal control and portfolio valuation and management. Zbl 1031.93092
Aubin, J.-P.; Haddad, G.
15
2002
Boundary-value problems for systems of Hamilton–Jacobi–Bellman inclusions with constraints. Zbl 1025.49017
Aubin, Jean-Pierre
8
2002
Path-dependent impulse and hybrid systems. Zbl 0995.49019
Aubin, Jean-Pierre; Haddad, George
3
2002
Dynamical qualitative analysis of evolutionary systems. Zbl 1059.49006
Aubin, Jean-Pierre; Dordan, Olivier
3
2002
Bilateral fixed-points and algebraic properties of viability kernels and capture basins of sets. Zbl 1016.93030
Aubin, Jean-Pierre; Catté, Francine
2
2002
Impulse capture basins of sets under impulse control systems. Zbl 1019.93023
Aubin, Jean-Pierre; Haddad, Georges
2
2002
The substratum of impulse and hybrid control systems. Zbl 0995.49020
Aubin, Jean-Pierre
1
2002
Viability kernels and capture basins of sets under differential inclusions. Zbl 1025.49016
Aubin, Jean-Pierre
20
2001
Cadenced runs of impulse and hybrid control systems. Zbl 0981.34054
Aubin, Jean-Pierre; Haddad, Georges
5
2001
Optimal impulse control problems and quasi-variational inequalities thirty years later: a viability approach. Zbl 1089.93543
Aubin, Jean-Pierre
3
2001
Applied functional analysis. Exercises by Bernard Cornet and Jean-Michel Lasry. Transl. by Carole Labrousse. 2nd ed. Zbl 0946.46001
Aubin, Jean-Pierre
55
2000
Introduction: Set-valued analysis in control theory. Zbl 0962.49001
Aubin, Jean-Pierre; Frankowska, Hélène
15
2000
Stochastic invariance for differential inclusions. Zbl 0976.49016
Aubin, Jean-Pierre; da Prato, Giuseppe; Frankowska, Hélène
12
2000
Boundary-value problems for systems of first-order partial differential inclusions. Zbl 0955.35016
Aubin, Jean-Pierre
8
2000
Nonlinear structured population dynamics with covariates. Zbl 0981.92024
Aubin, 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 0923.58005
Aubin, Jean-Pierre
48
1999
Optima and equilibria. An introduction to nonlinear analysis. Transl. from the French by Stephen Wilson. 2nd ed. Zbl 0930.91001
Aubin, Jean-Pierre
89
1998
The viability theorem for stochastic differential inclusions. Zbl 0931.60059
Aubin, Jean-Pierre; Da Prato, Giuseppe
47
1998
Fuzzy systems, viability theory and toll sets. Zbl 0930.93051
Aubin, J. P.; Dordan, O.
11
1998
Dynamic economic theory. A viability approach. Zbl 0876.90032
Aubin, Jean-Pierre
34
1997
Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions. Zbl 0879.35096
Aubin, Jean-Pierre; Frankowska, Halina
11
1997
The viability kernel algorithm for computing value functions of infinite horizon optimal control problems. Zbl 0862.65039
Aubin, Jean-Pierre; Frankowska, Hélène
9
1996
Neural networks and qualitative physics. Zbl 0920.68100
Aubin, Jean-Pierre
4
1996
Stochastic Nagumo’s viability theorem. Zbl 0816.60053
Aubin, J. P.; Da Prato, Giuseppe
17
1995
Partial differential inclusions governing feedback controls. Zbl 0840.93041
Aubin, Jean-Pierre; Frankowska, Hélène
2
1995
Stochastic Lyapunov method. Zbl 0839.34067
Aubin, Jean-Pierre; Da Prato, Giuseppe
1
1995
Foundation of applied analysis. (Initiation á l’analyse appliquée.) Zbl 0809.90002
Aubin, Jean-Pierre
7
1994
The “Montagnes Russes” algorithm for global optimization. (L’algorithme des Montagnes Russes pour l’optimisation globale.) Zbl 0809.65065
Aubin, Jean-Pierre; Najman, Laurent
1
1994
Optima and equilibria: an introduction to nonlinear analysis. Translated from French by Stephen Wilson. Zbl 0781.90012
Aubin, Jean-Pierre
116
1993
Mutational equations in metrics spaces. Zbl 0784.34015
Aubin, Jean-Pierre
36
1993
A note on differential calculus in metric spaces and its applications to the evolution of tubes. Zbl 0780.49014
Aubin, Jean-Pierre
8
1992
Contingent solutions to the center manifold equation. Zbl 0745.34039
Aubin, Jean-Pierre; Da Prato, Giuseppe
3
1992
Viability theory. Zbl 0755.93003
Aubin, Jean-Pierre
290
1991
Poincaré’s recurrence theorem for set-valued dynamical systems. Zbl 0760.54026
Aubin, Jean-Pierre; Frankowska, Hélène; Lasota, Andrzej
15
1991
Viability kernel of control systems. Zbl 0738.93002
Aubin, J.-P.; Frankowska, H.
13
1991
Hyperbolic systems of partial differential inclusions. Zbl 0754.49005
Aubin, Jean-Pierre; Frankowska, Hélène
7
1991
Systèmes hyperboliques d’inclusions aux dérivées partielles. (Hyperbolic systems of partial differential inclusions). Zbl 0722.35052
Aubin, Jean-Pierre; Frankowska, Hélène
3
1991
Feedback controls for uncertain systems. Zbl 0734.93052
Aubin, J.-P.; Frankowska, H.
2
1991
Set-valued analysis. Zbl 0713.49021
Aubin, Jean-Pierre; Frankowska, Hélène
1990
A survey of viability theory. Zbl 0714.49021
Aubin, Jean-Pierre
36
1990
Stochastic viability and invariance. Zbl 0741.60046
Aubin, Jean-Pierre; da Prato, Giuseppe
34
1990
Fuzzy differential inclusions. Zbl 0718.93039
Aubin, J.-P.
32
1990
Controllability and observability of control systems under uncertainty. Zbl 0745.93004
Aubin, Jean-Pierre; Frankowska, Halina
11
1990
Inclusions aux dérivées partielles gouvernant des contrôles de rétroaction. (Partial differential inclusions governing feedback controls). Zbl 0722.93034
Aubin, Jean-Pierre; Frankowska, Hélène
4
1990
Solutions contingentes de l’équation de la variété centrale. (Contingent solutions to the center manifold equation). Zbl 0714.34072
Aubin, Jean-Pierre; Da Prato, Giuseppe
3
1990
Viability kernels, controlled invariance and zero dynamics for nonlinear systems. Zbl 0713.93026
Aubin, Jean Pierre; Byrnes, Christopher I.; Isidori, Alberto
2
1990
Observability of systems under uncertainty. Zbl 0689.93007
Aubin, Jean-Pierre; Frankowska, Halina
2
1989
Smallest Lyapunov functions of differential inclusions. Zbl 0723.34036
Aubin, Jean-Pierre
2
1989
Victory and defeat in differential games. Zbl 0682.90107
Aubin, Jean-Pierre
2
1989
Analyse non linéaire. Contributions en l’honneur de J.-J. Moreau. (Congrès franco-québecois d’analyse non linéaire appliquée, Perpignan/France, du 22 au 26 juin 1987). Zbl 0673.00015
Attouch, Hedy; Aubin, Jean-Pierre; Clarke, Francis; Ekeland, Ivar
1
1989
Controllability and observability of control systems and uncertainty. Zbl 0738.93006
Aubin, Jean-Pierre; Frankowska, Halina
1
1989
Contingent Isaacs equations of a differential game. Zbl 0677.90100
Aubin, Jean-Pierre
1
1989
Stable approximations of set-valued maps. Zbl 0681.54012
Aubin, Jean-Pierre; Wets, Roger J. B.
5
1988
Permanence and viability. Zbl 0659.93059
Aubin, Jean-Pierre; Sigmund, Karl
2
1988
Viabilitz tubes. Zbl 0900.49006
Aubin, Jean Pierre
1
1988
Observabilité des systèmes sous incertitude. (Observability of systems under uncertainty). Zbl 0682.93014
Aubin, Jean-Pierre; Frankowska, Halina
1
1988
On inverse function theorems for set-valued maps. Zbl 0643.46033
Aubin, Jean-Pierre; Frankowska, Halina
24
1987
Analyse fonctionnelle appliquée. Tomes 1, 2. Exercises rédigés par Bernard Cornet et Jean-Michel Lasry. (Traduction d’anglais). Mathématiques. Zbl 0654.46001
Aubin, Jean-Pierre
6
1987
Controllability of convex processes. Zbl 0607.49025
Aubin, Jean-Pierre; Frankowska, Halina; Olech, Czesław
28
1986
Heavy viable trajectories of controlled systems. Zbl 0585.49023
Aubin, Jean-Pierre; Frankowska, Halina
3
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 0584.49023
Aubin, Jean-Pierre; Frankowska, Halina; Olech, Czeslaw
1
1985
Differential inclusions. Set-valued maps and viability theory. Zbl 0538.34007
Aubin, Jean-Pierre; Cellina, Arrigo
1984
Applied nonlinear analysis. Zbl 0641.47066
Aubin, Jean-Pierre; Ekeland, Ivar
1984
Lipschitz behavior of solutions to convex minimization problems. Zbl 0539.90085
Aubin, Jean-Pierre
192
1984
L’analyse non linéare et ses motivations économiques. Zbl 0551.90001
Aubin, Jean-Pierre
65
1984
Cooperative fuzzy games: the static and dynamic points of view. Zbl 0545.90104
Aubin, Jean-Pierre
4
1984
...and 52 more Documents
all top 5

Cited by 6,414 Authors

75 Frankowska, Hélène
64 Li, Shengjie
57 Yao, Jen-Chih
56 Huang, Nan-Jing
50 Huang, Lihong
49 Ding, Xie Ping
41 Aubin, Jean-Pierre
35 O’Regan, Donal
35 Penot, Jean-Paul
35 Quincampoix, Marc
33 Migórski, Stanisław
31 Bressan, Alberto
30 Cao, Jinde
30 Phan Quôc Khánh
29 Papageorgiou, Nikolaos S.
28 Mahmudov, Elimhan Nadir
27 Cai, Zuowei
27 Mordukhovich, Boris S.
26 Lee, Gue Myung
26 Pham Huu Sach
26 Rezapour, Shahram
26 Shehu, Yekini
24 Flåm, Sjur Didrik
24 Kloeden, Peter Eris
24 Yuan, Yongxin
22 Hung, Nguyen Van
22 Seeger, Alberto
22 Nguyen Dong Yen
21 Anh, Lam Quoc
20 Chalco-Cano, Yurilev
20 Liu, Zhenhai
20 Rodriguez Marin, Luis
20 Yuan, George Xian-Zhi
19 Adly, Samir
19 Agarwal, Ravi P.
19 Anh, Nguyen Le Hoang
19 Benchohra, Mouffak
19 Cannarsa, Piermarco
19 Chikriĭ, Arkadiĭ Alekseevich
19 Lorenz, Thomas
19 Morgan, Jacqueline
19 Sama, Miguel
19 Shakhmurov, Veli B.
19 Teo, Kok Lay
19 Włodarczyk, Kazimierz
19 Yang, Xiaoqi
19 Yu, Jian
18 Colombo, Giovanni
18 Cubiotti, Paolo
18 Michta, Mariusz
18 Peng, Jianwen
18 Peng, Zaiyun
18 Wang, Qilin
18 Xue, Xiaoping
17 Cernea, Aurelian
17 Durea, Marius
17 Etemad, Sina
17 Geoffroy, Michel H.
17 Nieto Roig, Juan Jose
17 Outrata, Jiří V.
17 Tung, Le Thanh
16 Ansari, Qamrul Hasan
16 Chang, Shih-Sen
16 Cho, Yeol Je
16 Danca, Marius-Florin
16 Jourani, Abderrahim
16 Kryszewski, Wojciech
16 Tan, Kok-Keong
16 Veliov, Vladimir M.
15 Balashov, Maxim Viktorovich
15 Donchev, Tzanko Donchev
15 Ibrahim, Ahmed Gamal
15 Iyiola, Olaniyi Samuel
15 Li, Xiaobing
15 Lin, Lai-Jiu
15 Su, Tran Van
15 Teel, Andrew Richard
15 Wu, Huaiqin
15 Yang, Xinmin
15 Zeng, Shengda
14 Attouch, Hedy
14 Beer, Gerald Alan
14 Cârjă, Ovidiu
14 Guo, Zhenyuan
14 Hintermüller, Michael
14 Jeong, Jin-Mun
14 Kim, Won Kyu
14 Kong, Fanchao
14 Plebaniak, Robert
14 Román-Flores, Heriberto E.
14 Wangkeeree, Rabian
13 Bettiol, Piernicola
13 Han, Yu
13 Malinowski, Marek T.
13 Ouahab, Abdelghani
13 Qin, Sitian
13 Rieger, Janosch
13 Sofonea, Mircea
13 Thibault, Lionel
13 Wang, Jinrong
...and 6,314 more Authors
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Cited in 631 Serials

472 Journal of Mathematical Analysis and Applications
337 Journal of Optimization Theory and Applications
269 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
141 Journal of Differential Equations
128 Fuzzy Sets and Systems
123 Optimization
123 Set-Valued and Variational Analysis
116 Nonlinear Analysis. Theory, Methods & Applications
109 Journal of Global Optimization
94 Automatica
87 Computers & Mathematics with Applications
80 Numerical Functional Analysis and Optimization
80 Systems & Control Letters
79 Applied Mathematics and Optimization
78 Mathematical Programming. Series A. Series B
74 SIAM Journal on Control and Optimization
73 Applied Mathematics and Computation
68 Set-Valued Analysis
68 Journal of Inequalities and Applications
66 Neural Networks
63 Proceedings of the American Mathematical Society
62 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
59 Journal of Mathematical Economics
58 Applied Mathematics Letters
58 Positivity
55 Fixed Point Theory and Applications
54 Optimization Letters
53 Advances in Difference Equations
52 SIAM Journal on Optimization
52 Abstract and Applied Analysis
49 Journal of Computational and Applied Mathematics
44 Applicable Analysis
41 European Journal of Operational Research
39 Journal of the Franklin Institute
37 Applied Mathematics and Mechanics. (English Edition)
36 Numerische Mathematik
36 Transactions of the American Mathematical Society
34 Journal of Convex Analysis
32 Computer Methods in Applied Mechanics and Engineering
32 Proceedings of the Steklov Institute of Mathematics
31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
31 Nonlinear Analysis. Real World Applications
31 Nonlinear Analysis. Hybrid Systems
30 Journal of Industrial and Management Optimization
29 Computational and Applied Mathematics
28 Journal of Dynamical and Control Systems
27 Bulletin of the Australian Mathematical Society
27 Mathematical Notes
27 Differential Equations
27 Discrete and Continuous Dynamical Systems. Series B
27 Journal of Fixed Point Theory and Applications
26 Chaos, Solitons and Fractals
26 Annali di Matematica Pura ed Applicata. Serie Quarta
26 Journal of Economic Theory
26 Cybernetics and Systems Analysis
26 Nonlinear Dynamics
25 Annals of Operations Research
24 Calculus of Variations and Partial Differential Equations
24 NoDEA. Nonlinear Differential Equations and Applications
24 Mathematical Methods of Operations Research
23 Archive for Rational Mechanics and Analysis
23 Journal of Mathematical Sciences (New York)
22 Information Sciences
22 International Journal of Game Theory
22 Stochastic Analysis and Applications
21 SIAM Journal on Mathematical Analysis
20 Numerical Algorithms
20 Communications in Nonlinear Science and Numerical Simulation
20 Mediterranean Journal of Mathematics
19 Topology and its Applications
18 Vietnam Journal of Mathematics
18 Acta Mathematica Sinica. English Series
17 International Journal of Control
17 Kybernetika
17 Rendiconti del Circolo Matemàtico di Palermo. Serie II
17 Acta Applicandae Mathematicae
17 Applied Numerical Mathematics
17 Mathematical and Computer Modelling
17 Computational Optimization and Applications
17 Boundary Value Problems
16 Mathematical Methods in the Applied Sciences
16 Journal of Functional Analysis
16 Results in Mathematics
16 RAIRO. Modélisation Mathématique et Analyse Numérique
16 MCSS. Mathematics of Control, Signals, and Systems
16 Applied Mathematical Modelling
16 Russian Mathematics
16 Economic Theory
16 Filomat
16 European Journal of Control
16 Dynamic Games and Applications
16 Journal of Nonlinear and Variational Analysis
15 Games and Economic Behavior
15 Discrete and Continuous Dynamical Systems
15 International Game Theory Review
14 Journal de Mathématiques Pures et Appliquées. Neuvième Série
14 International Journal of Robust and Nonlinear Control
14 Journal of Evolution Equations
14 Journal of Function Spaces
13 Journal of Approximation Theory
...and 531 more Serials
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Cited in 59 Fields

2,370 Calculus of variations and optimal control; optimization (49-XX)
1,523 Operations research, mathematical programming (90-XX)
1,174 Ordinary differential equations (34-XX)
1,084 Operator theory (47-XX)
1,017 Partial differential equations (35-XX)
943 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
932 Systems theory; control (93-XX)
644 Numerical analysis (65-XX)
472 General topology (54-XX)
364 Real functions (26-XX)
336 Functional analysis (46-XX)
308 Probability theory and stochastic processes (60-XX)
277 Dynamical systems and ergodic theory (37-XX)
252 Biology and other natural sciences (92-XX)
201 Mechanics of deformable solids (74-XX)
200 Global analysis, analysis on manifolds (58-XX)
161 Fluid mechanics (76-XX)
157 Measure and integration (28-XX)
120 Computer science (68-XX)
96 Convex and discrete geometry (52-XX)
87 Integral equations (45-XX)
74 Approximations and expansions (41-XX)
71 Statistics (62-XX)
64 Mechanics of particles and systems (70-XX)
63 Mathematical logic and foundations (03-XX)
52 Difference and functional equations (39-XX)
52 Information and communication theory, circuits (94-XX)
46 Linear and multilinear algebra; matrix theory (15-XX)
36 Statistical mechanics, structure of matter (82-XX)
24 Sequences, series, summability (40-XX)
24 Differential geometry (53-XX)
22 Algebraic topology (55-XX)
22 Quantum theory (81-XX)
21 Combinatorics (05-XX)
18 Order, lattices, ordered algebraic structures (06-XX)
18 Geophysics (86-XX)
16 Optics, electromagnetic theory (78-XX)
16 Classical thermodynamics, heat transfer (80-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
12 History and biography (01-XX)
11 Potential theory (31-XX)
9 Functions of a complex variable (30-XX)
8 Algebraic geometry (14-XX)
8 Integral transforms, operational calculus (44-XX)
8 Manifolds and cell complexes (57-XX)
7 General and overarching topics; collections (00-XX)
6 Several complex variables and analytic spaces (32-XX)
4 Geometry (51-XX)
3 Category theory; homological algebra (18-XX)
3 Topological groups, Lie groups (22-XX)
3 Special functions (33-XX)
3 Abstract harmonic analysis (43-XX)
2 Commutative algebra (13-XX)
2 Relativity and gravitational theory (83-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 \(K\)-theory (19-XX)
1 Mathematics education (97-XX)

Citations by Year

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