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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/
External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr
Documents Indexed: 190 Publications since 1963, including 31 Books
6 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 47 Co-Authors with 91 Joint Publications
1,401 Co-Co-Authors
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 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

Publications by Year

Citations contained in zbMATH Open

144 Publications have been cited 4,877 times in 4,057 Documents Cited by Year
Differential inclusions. Set-valued maps and viability theory. Zbl 0538.34007
Aubin, Jean-Pierre; Cellina, Arrigo
856
1984
Set-valued analysis. Zbl 0713.49021
Aubin, Jean-Pierre; Frankowska, Hélène
789
1990
Applied nonlinear analysis. Zbl 0641.47066
Aubin, Jean-Pierre; Ekeland, Ivar
659
1984
Un théorème de compacite. Zbl 0195.13002
Aubin, Jean-Pierre
266
1963
Mathematical methods of game and economic theory. Zbl 0452.90093
Aubin, Jean-Pierre
222
1979
Viability theory. Zbl 0755.93003
Aubin, Jean-Pierre
198
1991
Lipschitz behavior of solutions to convex minimization problems. Zbl 0539.90085
Aubin, Jean-Pierre
177
1984
Cooperative fuzzy games. Zbl 0496.90092
Aubin, Jean-Pierre
108
1981
Approximation of elliptic boundary-value problems. Zbl 0248.65063
Aubin, Jean-Pierre
97
1972
Set-valued analysis. Reprint of the 1990 original. Zbl 1168.49014
Aubin, Jean-Pierre; Frankowska, Hélène
75
2009
Fixed points and stationary points of dissipative multivalued maps. Zbl 0446.47049
Aubin, Jean-Pierre; Siegel, Jerrold
65
1980
Shadow prices and duality for a class of optimal control problems. Zbl 0439.49018
Aubin, J. P.; Clarke, F. H.
57
1979
Applied functional analysis. Exercises by Bernard Cornet and Jean-Michel Lasry. Transl. by Carole Labrousse. Zbl 0424.46001
Aubin, Jean-Pierre
56
1979
L’analyse non linéare et ses motivations économiques. Zbl 0551.90001
Aubin, Jean-Pierre
54
1984
Coeur et valeur des jeux flous à paiements lateraux. Zbl 0297.90128
Aubin, Jean-Pierre
54
1974
Impulse differential inclusions: a viability approach to hybrid systems. Zbl 1364.49018
Aubin, Jean-Pierre; Lygeros, John; Quincampoix, Marc; Sastry, Shankar; Seube, Nicolas
49
2002
Optima and equilibria: an introduction to nonlinear analysis. Translated from French by Stephen Wilson. Zbl 0781.90012
Aubin, Jean-Pierre
46
1993
The viability theorem for stochastic differential inclusions. Zbl 0931.60059
Aubin, Jean-Pierre; Da Prato, Giuseppe
44
1998
Viability theory. New directions. 2nd ed. Zbl 1238.93001
Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick
39
2011
Mutational and morphological analysis. Tools for shape evolution and morphogenesis. Zbl 0923.58005
Aubin, Jean-Pierre
35
1999
Applied nonlinear analysis. Reprint of the 1984 original. Zbl 1115.47049
Aubin, Jean-Pierre; Ekeland, Ivar
35
2006
Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions. Zbl 0484.47034
Aubin, 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 0276.65052
Aubin, Jean Pierre
33
1967
A survey of viability theory. Zbl 0714.49021
Aubin, Jean-Pierre
31
1990
Mutational equations in metrics spaces. Zbl 0784.34015
Aubin, Jean-Pierre
31
1993
Fuzzy differential inclusions. Zbl 0718.93039
Aubin, J.-P.
30
1990
Stochastic viability and invariance. Zbl 0741.60046
Aubin, Jean-Pierre; da Prato, Giuseppe
29
1990
Viability theory. 2nd printing. Zbl 1179.93001
Aubin, Jean-Pierre
29
2009
Optima and equilibria. An introduction to nonlinear analysis. Transl. from the French by Stephen Wilson. 2nd ed. Zbl 0930.91001
Aubin, Jean-Pierre
28
1998
Controllability of convex processes. Zbl 0607.49025
Aubin, Jean-Pierre; Frankowska, Halina; Olech, Czesław
26
1986
Estimates of the duality gap in nonconvex optimization. Zbl 0366.90102
Aubin, J. P.; Ekeland, I.
25
1976
Monotone invariant solutions to differential inclusions. Zbl 0405.34049
Clarke, Frank H.; Aubin, J.-P.
22
1977
On inverse function theorems for set-valued maps. Zbl 0643.46033
Aubin, Jean-Pierre; Frankowska, Halina
21
1987
Dynamic economic theory. A viability approach. Zbl 0876.90032
Aubin, Jean-Pierre
20
1997
Abstract boundary-value operators and their adjoints. Zbl 0247.47042
Aubin, Jean-Pierre
20
1970
Approximation des espaces de distributions et des opérateurs différentiels. Zbl 0157.21901
Aubin, J.-P.
19
1967
Applied abstract analysis. Exercises by Bernard Cornet and Herve Moulin. Translated by Carole Labrousse. Zbl 0393.54001
Aubin, Jean-Pierre
19
1977
Viability kernels and capture basins of sets under differential inclusions. Zbl 1025.49016
Aubin, Jean-Pierre
17
2001
Stochastic Nagumo’s viability theorem. Zbl 0816.60053
Aubin, J. P.; Da Prato, Giuseppe
17
1995
Applied functional analysis. Exercises by Bernard Cornet and Jean-Michel Lasry. Transl. by Carole Labrousse. 2nd ed. Zbl 0946.46001
Aubin, Jean-Pierre
15
2000
Locally Lipschitz cooperative games. Zbl 0461.90086
Aubin, Jean-Pierre
15
1981
History path dependent optimal control and portfolio valuation and management. Zbl 1031.93092
Aubin, J.-P.; Haddad, G.
13
2002
Approximation des problèmes aux limites non homogènes pour des opérateurs non linéaires. Zbl 0216.17103
Aubin, J.-P.
12
1970
Gradients généralises de Clarke. Zbl 0411.49001
Aubin, Jean-Pierre
12
1978
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
Interpolation et approximation optimales et ’spline functions’. Zbl 0188.43702
Aubin, J.-P.
11
1968
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
11
2013
Stochastic invariance for differential inclusions. Zbl 0976.49016
Aubin, Jean-Pierre; da Prato, Giuseppe; Frankowska, Hélène
11
2000
Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints. Zbl 1171.49005
Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick
11
2008
Evaluation des erreurs de troncature des approximations des espaces de Sobolev. Zbl 0162.18102
Aubin, J.-P.
10
1968
Controllability and observability of control systems under uncertainty. Zbl 0745.93004
Aubin, Jean-Pierre; Frankowska, Halina
10
1990
Viability kernel of control systems. Zbl 0738.93002
Aubin, J.-P.; Frankowska, H.
10
1991
Monotone trajectories of multivalued dynamical systems. Zbl 0392.49019
Aubin, Jean-Pierre; Cellina, Arrigo; Nohel, John
10
1978
Approximation des problèmes aux limites non homogènes et régularité de la convergence. Zbl 0201.12601
Aubin, J.-P.
9
1969
Poincaré’s recurrence theorem for set-valued dynamical systems. Zbl 0760.54026
Aubin, Jean-Pierre; Frankowska, Hélène; Lasota, Andrzej
9
1991
Characterization of stochastic viability of any nonsmooth set involving its generalized contingent curvature. Zbl 1030.60045
Aubin, Jean-Pierre; Doss, Halim
9
2003
Macroscopic traffic models: shifting from densities to “celerities”. Zbl 1198.90081
Aubin, Jean-Pierre
8
2010
Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions. Zbl 0879.35096
Aubin, Jean-Pierre; Frankowska, Halina
8
1997
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
8
2007
The viability kernel algorithm for computing value functions of infinite horizon optimal control problems. Zbl 0862.65039
Aubin, Jean-Pierre; Frankowska, Hélène
8
1996
Hyperbolic systems of partial differential inclusions. Zbl 0754.49005
Aubin, Jean-Pierre; Frankowska, Hélène
7
1991
A note on differential calculus in metric spaces and its applications to the evolution of tubes. Zbl 0780.49014
Aubin, Jean-Pierre
7
1992
Fuzzy systems, viability theory and toll sets. Zbl 0930.93051
Aubin, J. P.; Dordan, O.
7
1998
Some aspects of the method of the hypercircle applied to elliptic variational problems. Zbl 0264.65069
Aubin, Jean Pierre; Burchard, Hermann G.
7
1971
Boundary-value problems for systems of first-order partial differential inclusions. Zbl 0955.35016
Aubin, Jean-Pierre
6
2000
Analyse convexe et ses applications. Comptes rendus, janvier 1974. Zbl 0285.00008
6
1974
Multiplicateurs de Lagrange en optimisation non convexe et applications. Zbl 0365.90105
Aubin, Jean-Pierre; Clarke, Frank H.
6
1977
Best approximation of linear operators in Hilbert spaces. Zbl 0176.13101
Aubin, Jean-Pierre
5
1968
Cadenced runs of impulse and hybrid control systems. Zbl 0981.34054
Aubin, Jean-Pierre; Haddad, Georges
5
2001
Boundary-value problems for systems of Hamilton–Jacobi–Bellman inclusions with constraints. Zbl 1025.49017
Aubin, Jean-Pierre
5
2002
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
Traffic networks as information systems. A viability approach. Zbl 1356.90002
Aubin, Jean-Pierre; Désilles, Anya
4
2017
Introduction: Set-valued analysis in control theory. Zbl 0962.49001
Aubin, Jean-Pierre; Frankowska, Hélène
4
2000
Second-order evolution equations associated with convex Hamiltonians. Zbl 0429.35042
Aubin, J. P.; Ekeland, I.
4
1980
Propriété de Perron-Frobenius pour des correspondances. Zbl 0453.47037
Aubin, Jean-Pierre
4
1978
Foundation of applied analysis. (Initiation á l’analyse appliquée.) Zbl 0809.90002
Aubin, Jean-Pierre
4
1994
Optimal approximation and characterization of the error and stability functions in Banach spaces. Zbl 0222.46011
Aubin, Jean Pierre
4
1970
Path-dependent impulse and hybrid systems. Zbl 0995.49019
Aubin, Jean-Pierre; Haddad, George
3
2002
Nonlinear structured population dynamics with covariates. Zbl 0981.92024
Aubin, Jean-Pierre; Bonneuil, Noël; Maurin, Franck
3
2000
Contingent solutions to the center manifold equation. Zbl 0745.34039
Aubin, Jean-Pierre; Da Prato, Giuseppe
3
1992
Approximation of elliptic boundary-value problems. Reprint of the corrected 1980 ed. Zbl 1191.65139
Aubin, Jean-Pierre
3
2007
Optimal impulse control problems and quasi-variational inequalities thirty years later: a viability approach. Zbl 1089.93543
Aubin, Jean-Pierre
3
2001
Further properties of Lagrange multipliers in nonsmooth optimization. Zbl 0432.49025
Aubin, Jean-Pierre
3
1980
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
Conditional viability for impulse differential games. Zbl 1138.91346
Aubin, Jean-Pierre; Seube, Nicolas
3
2005
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
Inclusions aux dérivées partielles gouvernant des contrôles de rétroaction. (Partial differential inclusions governing feedback controls). Zbl 0722.93034
Aubin, Jean-Pierre; Frankowska, Hélène
3
1990
Neural networks and qualitative physics. Zbl 0920.68100
Aubin, Jean-Pierre
3
1996
Minimisation de critères intégraux. Zbl 0321.49007
Aubin, Jean-Pierre; Ekeland, Ivar
3
1975
Approximation dans \(L^ p\) des problèmes aux limites non homogenes par des schemas aux différences finies. Zbl 0176.44802
Aubin, J.-P.
2
1969
Approximation of variational inequations. Zbl 0184.36703
Aubin, J.-P.
2
1967
Time and money. How long and how much money is needed to regulate a viable economy. Zbl 1290.91004
Aubin, Jean-Pierre
2
2014
Boundary-value problems for systems of Hamilton-Jacobi-Bellman inclusions with constraints. Zbl 1043.49029
Aubin, Jean-Pierre
2
2003
Impulse capture basins of sets under impulse control systems. Zbl 1019.93023
Aubin, Jean-Pierre; Haddad, Georges
2
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
Dynamic core of fuzzy dynamical cooperative games. Zbl 1181.91030
Aubin, Jean-Pierre
2
2005
Dynamical qualitative analysis of evolutionary systems. Zbl 1059.49006
Aubin, Jean-Pierre; Dordan, Olivier
2
2002
Traffic networks as information systems. A viability approach. Zbl 1356.90002
Aubin, Jean-Pierre; Désilles, Anya
4
2017
A survey on Galois stratifications and measures of viability risk. Zbl 1355.49013
Aubin, Jean-Pierre; Dordan, Olivier
1
2016
Regulation of viable and optimal cohorts. Zbl 1325.35006
Aubin, Jean-Pierre
1
2015
Cournot maps for intercepting evader evolutions by a pursuer. Zbl 1348.91058
Aubin, Jean-Pierre; Luxi, Chen; Désilles, Anya
1
2015
Generalized Lax-Hopf formulas for Cournot maps and Hamilton-Jacobi-McKendrick equations. Zbl 1329.49026
Aubin, Jean-Pierre; Chen, Luxi
1
2015
Retrospective-prospective differential inclusions and their Control by the differential connection tensors of their evolutions: the trendometer. Zbl 1357.49069
Aubin, 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 1290.91004
Aubin, Jean-Pierre
2
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
11
2013
Lax-Hopf formula and Max-Plus properties of solutions to Hamilton-Jacobi equations. Zbl 1269.49023
Aubin, Jean-Pierre
1
2013
Chaperoning state evolutions by variable durations. Zbl 1357.49109
Aubin, Jean-Pierre
1
2013
Regulation of births for viability of populations governed by age-structured problems. Zbl 1245.35132
Aubin, Jean-Pierre
1
2012
Viability theory. New directions. 2nd ed. Zbl 1238.93001
Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick
39
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
8
2010
Set-valued analysis. Reprint of the 1990 original. Zbl 1168.49014
Aubin, Jean-Pierre; Frankowska, Hélène
75
2009
Viability theory. 2nd printing. Zbl 1179.93001
Aubin, Jean-Pierre
29
2009
Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints. Zbl 1171.49005
Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick
11
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
8
2007
Approximation of elliptic boundary-value problems. Reprint of the corrected 1980 ed. Zbl 1191.65139
Aubin, Jean-Pierre
3
2007
Applied nonlinear analysis. Reprint of the 1984 original. Zbl 1115.47049
Aubin, Jean-Pierre; Ekeland, Ivar
35
2006
A viability approach to the inverse set-valued map theorem. Zbl 1111.49012
Aubin, Jean-Pierre
1
2006
Conditional viability for impulse differential games. Zbl 1138.91346
Aubin, Jean-Pierre; Seube, Nicolas
3
2005
Dynamic core of fuzzy dynamical cooperative games. Zbl 1181.91030
Aubin, Jean-Pierre
2
2005
Dynamic management of portfolios with transaction costs under tychastic uncertainty. Zbl 1126.91355
Aubin, Jean-Pierre; Pujal, Dominique; Saint-Pierre, Patrick
2
2005
Constructing and exploring wells of energy landscapes. Zbl 1067.34012
Aubin, Jean-Pierre; Lesne, Annick
1
2005
Characterization of stochastic viability of any nonsmooth set involving its generalized contingent curvature. Zbl 1030.60045
Aubin, Jean-Pierre; Doss, Halim
9
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
49
2002
History path dependent optimal control and portfolio valuation and management. Zbl 1031.93092
Aubin, J.-P.; Haddad, G.
13
2002
Boundary-value problems for systems of Hamilton–Jacobi–Bellman inclusions with constraints. Zbl 1025.49017
Aubin, Jean-Pierre
5
2002
Path-dependent impulse and hybrid systems. Zbl 0995.49019
Aubin, Jean-Pierre; Haddad, George
3
2002
Impulse capture basins of sets under impulse control systems. Zbl 1019.93023
Aubin, Jean-Pierre; Haddad, Georges
2
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
Dynamical qualitative analysis of evolutionary systems. Zbl 1059.49006
Aubin, Jean-Pierre; Dordan, Olivier
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
17
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
15
2000
Stochastic invariance for differential inclusions. Zbl 0976.49016
Aubin, Jean-Pierre; da Prato, Giuseppe; Frankowska, Hélène
11
2000
Boundary-value problems for systems of first-order partial differential inclusions. Zbl 0955.35016
Aubin, Jean-Pierre
6
2000
Introduction: Set-valued analysis in control theory. Zbl 0962.49001
Aubin, Jean-Pierre; Frankowska, Hélène
4
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
35
1999
The viability theorem for stochastic differential inclusions. Zbl 0931.60059
Aubin, Jean-Pierre; Da Prato, Giuseppe
44
1998
Optima and equilibria. An introduction to nonlinear analysis. Transl. from the French by Stephen Wilson. 2nd ed. Zbl 0930.91001
Aubin, Jean-Pierre
28
1998
Fuzzy systems, viability theory and toll sets. Zbl 0930.93051
Aubin, J. P.; Dordan, O.
7
1998
Dynamic economic theory. A viability approach. Zbl 0876.90032
Aubin, Jean-Pierre
20
1997
Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions. Zbl 0879.35096
Aubin, Jean-Pierre; Frankowska, Halina
8
1997
The viability kernel algorithm for computing value functions of infinite horizon optimal control problems. Zbl 0862.65039
Aubin, Jean-Pierre; Frankowska, Hélène
8
1996
Neural networks and qualitative physics. Zbl 0920.68100
Aubin, Jean-Pierre
3
1996
Stochastic Nagumo’s viability theorem. Zbl 0816.60053
Aubin, J. P.; Da Prato, Giuseppe
17
1995
Stochastic Lyapunov method. Zbl 0839.34067
Aubin, Jean-Pierre; Da Prato, Giuseppe
1
1995
Partial differential inclusions governing feedback controls. Zbl 0840.93041
Aubin, Jean-Pierre; Frankowska, Hélène
1
1995
Foundation of applied analysis. (Initiation á l’analyse appliquée.) Zbl 0809.90002
Aubin, Jean-Pierre
4
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
46
1993
Mutational equations in metrics spaces. Zbl 0784.34015
Aubin, Jean-Pierre
31
1993
A note on differential calculus in metric spaces and its applications to the evolution of tubes. Zbl 0780.49014
Aubin, Jean-Pierre
7
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
198
1991
Viability kernel of control systems. Zbl 0738.93002
Aubin, J.-P.; Frankowska, H.
10
1991
Poincaré’s recurrence theorem for set-valued dynamical systems. Zbl 0760.54026
Aubin, Jean-Pierre; Frankowska, Hélène; Lasota, Andrzej
9
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
789
1990
A survey of viability theory. Zbl 0714.49021
Aubin, Jean-Pierre
31
1990
Fuzzy differential inclusions. Zbl 0718.93039
Aubin, J.-P.
30
1990
Stochastic viability and invariance. Zbl 0741.60046
Aubin, Jean-Pierre; da Prato, Giuseppe
29
1990
Controllability and observability of control systems under uncertainty. Zbl 0745.93004
Aubin, Jean-Pierre; Frankowska, Halina
10
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
Inclusions aux dérivées partielles gouvernant des contrôles de rétroaction. (Partial differential inclusions governing feedback controls). Zbl 0722.93034
Aubin, Jean-Pierre; Frankowska, Hélène
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
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
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
21
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
1
1987
Controllability of convex processes. Zbl 0607.49025
Aubin, Jean-Pierre; Frankowska, Halina; Olech, Czesław
26
1986
Heavy viable trajectories of controlled systems. Zbl 0585.49023
Aubin, 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 0584.49023
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
856
1984
Applied nonlinear analysis. Zbl 0641.47066
Aubin, Jean-Pierre; Ekeland, Ivar
659
1984
Lipschitz behavior of solutions to convex minimization problems. Zbl 0539.90085
Aubin, Jean-Pierre
177
1984
L’analyse non linéare et ses motivations économiques. Zbl 0551.90001
Aubin, Jean-Pierre
54
1984
Slow and heavy viable trajectories of controlled problems. Smooth viability domains. Zbl 0558.49017
Aubin, Jean-Pierre
2
1984
Trajectoires lourdes de systèmes contrôlés. Zbl 0561.49011
Aubin, Jean-Pierre; Frankowska, Halina
2
1984
Cooperative fuzzy games: the static and dynamic points of view. Zbl 0545.90104
Aubin, Jean-Pierre
1
1984
Comportement lipschitzien des solutions de problèmes de minimisation convexes. Zbl 0523.49012
Aubin, J. P.
1
1983
Comportement lipschitzien des solutions de problèmes de minimisation convexes. Zbl 0503.49022
Aubin, Jean-Pierre
12
1982
Méthodes explicites de l’optimisation. Moduleco: Pierre Nepomiastchy. Exercices: Anne-Marie Charles. Zbl 0498.90051
Aubin, Jean-Pierre
1
1982
Cooperative fuzzy games. Zbl 0496.90092
Aubin, Jean-Pierre
108
1981
...and 44 more Documents
all top 5

Cited by 4,183 Authors

44 Frankowska, Hélène
38 Aubin, Jean-Pierre
38 Yao, Jen-Chih
30 Huang, Nan-Jing
26 Ding, Xie Ping
26 Quincampoix, Marc
25 Pham Huu Sach
24 Migórski, Stanisław
24 Penot, Jean-Paul
22 Phan Quôc Khánh
21 Mordukhovich, Boris S.
19 Włodarczyk, Kazimierz
19 Nguyen Dong Yen
18 Huang, Lihong
18 Papageorgiou, Nikolaos S.
17 Anh, Nguyen Le Hoang
17 Bressan, Alberto
17 Seeger, Alberto
17 Shakhmurov, Veli B.
16 Cannarsa, Piermarco
16 Flåm, Sjur Didrik
16 Liu, Zhenhai
16 Lorenz, Thomas
15 Anh, Lam Quoc
15 Kloeden, Peter Eris
15 Lee, Gue Myung
15 Li, Shengjie
14 Danca, Marius-Florin
14 Jeong, Jin-Mun
14 Mahmudov, Elimhan Nadir
14 Michta, Mariusz
14 Outrata, Jiří V.
14 Plebaniak, Robert
13 Adly, Samir
13 Agarwal, Ravi P.
13 Donchev, Tzanko Donchev
13 Morgan, Jacqueline
13 O’Regan, Donal
12 Beer, Gerald Alan
12 Colombo, Giovanni
12 Cubiotti, Paolo
12 Jiménez-Losada, Andrés
11 Ansari, Qamrul Hasan
11 Cârjă, Ovidiu
11 Chikriĭ, Arkadiĭ Alekseevich
11 Cho, Yeol Je
11 Geoffroy, Michel H.
11 Liao, Yu-Hsien
11 Peng, Zaiyun
11 Rockafellar, Ralph Tyrrell
11 Teel, Andrew Richard
11 Yang, Xinmin
10 Benchohra, Mouffak
10 Butnariu, Dan
10 Cao, Jinde
10 Ioffe, Alexander Davidovich
10 Nieto Roig, Juan Jose
10 Piétrus, Alain
10 Serea, Oana-Silvia
10 Shehu, Yekini
10 Tijs, Stef H.
10 Yang, Xiaoqi
9 Attouch, Hedy
9 Azé, Dominique
9 Bonneuil, Noël
9 Cernea, Aurelian
9 Doyen, Luc
9 Gao, Yan
9 Goreac, Dan
9 Hung, Nguyen Van
9 Kassay, Gábor
9 Kim, Won Kyu
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 Wangkeeree, Rabian
9 Wets, Roger Jean-Baptiste
9 Ye, Jane J.
8 Bettiol, Piernicola
8 Chen, Guangya
8 Clark, Haroldo Rodrigues
8 Da Prato, Giuseppe
8 de Lara, Michel
8 De Marco, Giuseppe
8 Guseinov, Khalik G.
8 Hilout, Saïd
8 Huang, Jun
8 Klimov, Vladimir Stepanovich
8 Křivan, Vlastimil
8 Lasiecka, Irena
8 Le Anh Tuan
8 Ochal, Anna
8 Peng, Jianwen
8 Roubíček, Tomáš
8 Smirnov, Sergeĭ Nikolaevich
8 Tan, Kok-Keong
...and 4,083 more Authors
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Cited in 523 Serials

297 Journal of Optimization Theory and Applications
185 Journal of Mathematical Analysis and Applications
105 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
90 Journal of Global Optimization
86 Set-Valued and Variational Analysis
73 Optimization
69 Applied Mathematics and Optimization
68 Mathematical Programming. Series A. Series B
67 Set-Valued Analysis
63 Proceedings of the American Mathematical Society
62 Numerical Functional Analysis and Optimization
60 Fuzzy Sets and Systems
53 Journal of Differential Equations
53 Journal of Inequalities and Applications
51 Positivity
49 Automatica
45 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
44 Fixed Point Theory and Applications
43 SIAM Journal on Control and Optimization
41 Optimization Letters
40 Systems & Control Letters
36 Transactions of the American Mathematical Society
36 Applied Mathematics and Mechanics. (English Edition)
35 Numerische Mathematik
35 Nonlinear Analysis. Theory, Methods & Applications
30 Advances in Difference Equations
28 Journal of Mathematical Economics
28 Abstract and Applied Analysis
27 Bulletin of the Australian Mathematical Society
27 SIAM Journal on Optimization
26 Mathematical Notes
26 Proceedings of the Steklov Institute of Mathematics
25 Applicable Analysis
24 Nonlinear Dynamics
22 Applied Mathematics and Computation
22 Stochastic Analysis and Applications
22 Differential Equations
20 Archive for Rational Mechanics and Analysis
20 International Journal of Game Theory
20 Journal of Convex Analysis
20 Journal of Dynamical and Control Systems
20 Journal of Fixed Point Theory and Applications
19 Computers & Mathematics with Applications
19 Calculus of Variations and Partial Differential Equations
18 Neural Networks
18 Journal of Mathematical Sciences (New York)
18 NoDEA. Nonlinear Differential Equations and Applications
17 European Journal of Operational Research
17 Mathematical Methods of Operations Research
17 Nonlinear Analysis. Real World Applications
16 Annali di Matematica Pura ed Applicata. Serie Quarta
16 Kybernetika
16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
16 RAIRO. Modélisation Mathématique et Analyse Numérique
16 Computational and Applied Mathematics
16 Acta Mathematica Sinica. English Series
16 Discrete and Continuous Dynamical Systems. Series B
15 Applied Mathematics Letters
15 International Game Theory Review
15 Dynamic Games and Applications
14 Acta Applicandae Mathematicae
14 Annals of Operations Research
14 Cybernetics and Systems Analysis
14 Russian Mathematics
14 Computational Optimization and Applications
14 Economic Theory
14 Mediterranean Journal of Mathematics
13 MCSS. Mathematics of Control, Signals, and Systems
13 Numerical Algorithms
13 Vietnam Journal of Mathematics
12 Journal of the Franklin Institute
12 Journal of Computational and Applied Mathematics
12 Rendiconti del Circolo Matemàtico di Palermo. Serie II
12 Nonlinear Analysis. Hybrid Systems
11 Computer Methods in Applied Mechanics and Engineering
11 International Journal of Control
11 Ukrainian Mathematical Journal
11 Mathematics of Computation
11 Calcolo
11 Computing
11 Zeitschrift für Analysis und ihre Anwendungen
11 Discrete and Continuous Dynamical Systems
11 Soft Computing
11 Journal of Evolution Equations
11 Journal of Industrial and Management Optimization
10 Acta Mathematicae Applicatae Sinica. English Series
10 Topological Methods in Nonlinear Analysis
10 Journal of Systems Science and Complexity
10 Communications on Pure and Applied Analysis
10 Fuzzy Optimization and Decision Making
10 Boundary Value Problems
9 Mathematical Biosciences
9 Archiv der Mathematik
9 Automation and Remote Control
9 SIAM Journal on Mathematical Analysis
9 Journal of Mathematical Imaging and Vision
9 Journal of Applied Mathematics
8 Israel Journal of Mathematics
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Journal of Functional Analysis
...and 423 more Serials
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Cited in 57 Fields

1,419 Calculus of variations and optimal control; optimization (49-XX)
965 Operations research, mathematical programming (90-XX)
666 Ordinary differential equations (34-XX)
632 Partial differential equations (35-XX)
588 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
587 Operator theory (47-XX)
568 Systems theory; control (93-XX)
377 Numerical analysis (65-XX)
289 General topology (54-XX)
201 Functional analysis (46-XX)
201 Probability theory and stochastic processes (60-XX)
195 Real functions (26-XX)
163 Dynamical systems and ergodic theory (37-XX)
135 Biology and other natural sciences (92-XX)
129 Global analysis, analysis on manifolds (58-XX)
124 Mechanics of deformable solids (74-XX)
113 Fluid mechanics (76-XX)
77 Measure and integration (28-XX)
64 Computer science (68-XX)
56 Convex and discrete geometry (52-XX)
51 Integral equations (45-XX)
44 Approximations and expansions (41-XX)
38 Statistics (62-XX)
37 Mathematical logic and foundations (03-XX)
32 Mechanics of particles and systems (70-XX)
28 Difference and functional equations (39-XX)
28 Information and communication theory, circuits (94-XX)
22 Statistical mechanics, structure of matter (82-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
16 Quantum theory (81-XX)
14 Differential geometry (53-XX)
13 Combinatorics (05-XX)
12 Sequences, series, summability (40-XX)
12 Algebraic topology (55-XX)
11 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 Potential theory (31-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
7 Optics, electromagnetic theory (78-XX)
5 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 Functions of a complex variable (30-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Special functions (33-XX)
1 Nonassociative rings and algebras (17-XX)
1 \(K\)-theory (19-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Abstract harmonic analysis (43-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

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