×

zbMATH — the first resource for mathematics

Aubin, Jean-Pierre

Compute Distance To:
Author ID: aubin.jean-pierre Recent zbMATH articles by "Aubin, Jean-Pierre"
Published as: Aubin, J. P.; Aubin, J.-P.; Aubin, Jean Pierre; Aubin, Jean-Pierre
Homepage: http://vimades.com/aubin/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 196 Publications since 1963, including 36 Books
Biographic References: 1 Publication
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 5,975 times in 4,845 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
891
1984
Un théorème de compacite. Zbl 0195.13002
Aubin, Jean-Pierre
238
1963
Mathematical methods of game and economic theory. Zbl 0452.90093
Aubin, Jean-Pierre
229
1979
Viability theory. Zbl 0755.93003
Aubin, Jean-Pierre
204
1991
Lipschitz behavior of solutions to convex minimization problems. Zbl 0539.90085
Aubin, Jean-Pierre
168
1984
Approximation of elliptic boundary-value problems. Zbl 0248.65063
Aubin, Jean-Pierre
140
1972
Cooperative fuzzy games. Zbl 0496.90092
Aubin, Jean-Pierre
103
1981
Applied functional analysis. Exercises by Bernard Cornet and Jean-Michel Lasry. Transl. by Carole Labrousse. Zbl 0424.46001
Aubin, Jean-Pierre
97
1979
Set-valued analysis. Reprint of the 1990 original. Zbl 1168.49014
Aubin, Jean-Pierre; Frankowska, Hélène
81
2009
Fixed points and stationary points of dissipative multivalued maps. Zbl 0446.47049
Aubin, Jean-Pierre; Siegel, Jerrold
64
1980
Optima and equilibria: an introduction to nonlinear analysis. Translated from French by Stephen Wilson. Zbl 0781.90012
Aubin, Jean-Pierre
62
1993
L’analyse non linéare et ses motivations économiques. Zbl 0551.90001
Aubin, Jean-Pierre
55
1984
Shadow prices and duality for a class of optimal control problems. Zbl 0439.49018
Aubin, J. P.; Clarke, F. H.
55
1979
Impulse differential inclusions: a viability approach to hybrid systems. Zbl 1364.49018
Aubin, Jean-Pierre; Lygeros, John; Quincampoix, Marc; Sastry, Shankar; Seube, Nicolas
51
2002
Coeur et valeur des jeux flous à paiements lateraux. Zbl 0297.90128
Aubin, Jean-Pierre
50
1974
Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions. Zbl 0484.47034
Aubin, Jean Pierre
45
1981
The viability theorem for stochastic differential inclusions. Zbl 0931.60059
Aubin, Jean-Pierre; Da Prato, Giuseppe
42
1998
Applied nonlinear analysis. Reprint of the 1984 original. Zbl 1115.47049
Aubin, Jean-Pierre; Ekeland, Ivar
40
2006
Mutational and morphological analysis. Tools for shape evolution and morphogenesis. Zbl 0923.58005
Aubin, Jean-Pierre
35
1999
Optima and equilibria. An introduction to nonlinear analysis. Transl. from the French by Stephen Wilson. 2nd ed. Zbl 0930.91001
Aubin, Jean-Pierre
35
1998
Viability theory. New directions. 2nd ed. Zbl 1238.93001
Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick
34
2011
A survey of viability theory. Zbl 0714.49021
Aubin, Jean-Pierre
32
1990
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
32
1967
Fuzzy differential inclusions. Zbl 0718.93039
Aubin, J.-P.
30
1990
Mutational equations in metrics spaces. Zbl 0784.34015
Aubin, Jean-Pierre
29
1993
Stochastic viability and invariance. Zbl 0741.60046
Aubin, Jean-Pierre; da Prato, Giuseppe
27
1990
Dynamic economic theory. A viability approach. Zbl 0876.90032
Aubin, Jean-Pierre
25
1997
Controllability of convex processes. Zbl 0607.49025
Aubin, Jean-Pierre; Frankowska, Halina; Olech, Czesław
25
1986
Applied abstract analysis. Exercises by Bernard Cornet and Herve Moulin. Translated by Carole Labrousse. Zbl 0393.54001
Aubin, Jean-Pierre
25
1977
Estimates of the duality gap in nonconvex optimization. Zbl 0366.90102
Aubin, J. P.; Ekeland, I.
23
1976
Viability theory. 2nd printing. Zbl 1179.93001
Aubin, Jean-Pierre
22
2009
On inverse function theorems for set-valued maps. Zbl 0643.46033
Aubin, Jean-Pierre; Frankowska, Halina
21
1987
Monotone invariant solutions to differential inclusions. Zbl 0405.34049
Clarke, Frank H.; Aubin, J.-P.
21
1977
Abstract boundary-value operators and their adjoints. Zbl 0247.47042
Aubin, Jean-Pierre
21
1970
Applied functional analysis. Exercises by Bernard Cornet and Jean-Michel Lasry. Transl. by Carole Labrousse. 2nd ed. Zbl 0946.46001
Aubin, Jean-Pierre
20
2000
Approximation des espaces de distributions et des opérateurs différentiels. Zbl 0157.21901
Aubin, J.-P.
19
1967
Stochastic Nagumo’s viability theorem. Zbl 0816.60053
Aubin, J. P.; Da Prato, Giuseppe
17
1995
Viability kernels and capture basins of sets under differential inclusions. Zbl 1025.49016
Aubin, Jean-Pierre
16
2001
Viability kernel of control systems. Zbl 0738.93002
Aubin, J.-P.; Frankowska, H.
16
1991
Controllability and observability of control systems under uncertainty. Zbl 0745.93004
Aubin, Jean-Pierre; Frankowska, Halina
16
1990
Locally Lipschitz cooperative games. Zbl 0461.90086
Aubin, Jean-Pierre
15
1981
Comportement lipschitzien des solutions de problèmes de minimisation convexes. Zbl 0503.49022
Aubin, Jean-Pierre
12
1982
Gradients généralises de Clarke. Zbl 0411.49001
Aubin, Jean-Pierre
12
1978
Stochastic invariance for differential inclusions. Zbl 0976.49016
Aubin, Jean-Pierre; da Prato, Giuseppe; Frankowska, Hélène
11
2000
Monotone trajectories of multivalued dynamical systems. Zbl 0392.49019
Aubin, Jean-Pierre; Cellina, Arrigo; Nohel, John
11
1978
Coeur et équilibres des jeux flous sans paiements lateraux. Zbl 0297.90129
Aubin, Jean-Pierre
11
1974
Some aspects of the method of the hypercircle applied to elliptic variational problems. Zbl 0264.65069
Aubin, Jean Pierre; Burchard, Hermann G.
11
1971
Interpolation et approximation optimales et ’spline functions’. Zbl 0188.43702
Aubin, J.-P.
11
1968
Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints. Zbl 1171.49005
Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick
10
2008
Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions. Zbl 0879.35096
Aubin, Jean-Pierre; Frankowska, Halina
10
1997
Approximation des problèmes aux limites non homogènes pour des opérateurs non linéaires. Zbl 0216.17103
Aubin, J.-P.
10
1970
Evaluation des erreurs de troncature des approximations des espaces de Sobolev. Zbl 0162.18102
Aubin, J.-P.
10
1968
Poincaré’s recurrence theorem for set-valued dynamical systems. Zbl 0760.54026
Aubin, Jean-Pierre; Frankowska, Hélène; Lasota, Andrzej
9
1991
Approximation des problèmes aux limites non homogènes et régularité de la convergence. Zbl 0201.12601
Aubin, J.-P.
9
1969
Macroscopic traffic models: shifting from densities to “celerities”. Zbl 1198.90081
Aubin, Jean-Pierre
8
2010
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
Characterization of stochastic viability of any nonsmooth set involving its generalized contingent curvature. Zbl 1030.60045
Aubin, Jean-Pierre; Doss, Halim
8
2003
History path dependent optimal control and portfolio valuation and management. Zbl 1031.93092
Aubin, J.-P.; Haddad, G.
8
2002
Introduction: Set-valued analysis in control theory. Zbl 0962.49001
Aubin, Jean-Pierre; Frankowska, Hélène
8
2000
Fuzzy systems, viability theory and toll sets. Zbl 0930.93051
Aubin, J. P.; Dordan, O.
8
1998
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
Boundary-value problems for systems of first-order partial differential inclusions. Zbl 0955.35016
Aubin, Jean-Pierre
6
2000
Foundation of applied analysis. Zbl 0809.90002
Aubin, Jean-Pierre
6
1994
A note on differential calculus in metric spaces and its applications to the evolution of tubes. Zbl 0780.49014
Aubin, Jean-Pierre
6
1992
Multiplicateurs de Lagrange en optimisation non convexe et applications. Zbl 0365.90105
Aubin, Jean-Pierre; Clarke, Frank H.
6
1977
Analyse convexe et ses applications. Comptes rendus, janvier 1974. Zbl 0285.00008
Aubin, Jean-Pierre (ed.)
6
1974
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
5
2013
Viability solutions to structured Hamilton-Jacobi equations under constraints. Zbl 1239.49003
Aubin, Jean-Pierre
5
2011
Boundary-value problems for systems of Hamilton–Jacobi–Bellman inclusions with constraints. Zbl 1025.49017
Aubin, Jean-Pierre
5
2002
Cadenced runs of impulse and hybrid control systems. Zbl 0981.34054
Aubin, Jean-Pierre; Haddad, Georges
5
2001
Stable approximations of set-valued maps. Zbl 0681.54012
Aubin, Jean-Pierre; Wets, Roger J. B.
5
1988
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
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
Optimal approximation and characterization of the error and stability functions in Banach spaces. Zbl 0222.46011
Aubin, Jean Pierre
4
1970
Best approximation of linear operators in Hilbert spaces. Zbl 0176.13101
Aubin, Jean-Pierre
4
1968
Approximation of elliptic boundary-value problems. Reprint of the corrected 1980 ed. Zbl 1191.65139
Aubin, Jean-Pierre
3
2007
Conditional viability for impulse differential games. Zbl 1138.91346
Aubin, Jean-Pierre; Seube, Nicolas
3
2005
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
Nonlinear structured population dynamics with covariates. Zbl 0981.92024
Aubin, Jean-Pierre; Bonneuil, Noël; Maurin, Franck
3
2000
Neural networks and qualitative physics. Zbl 0920.68100
Aubin, Jean-Pierre
3
1996
Contingent solutions to the center manifold equation. Zbl 0745.34039
Aubin, Jean-Pierre; Da Prato, Giuseppe
3
1992
Systèmes hyperboliques d’inclusions aux dérivées partielles. (Hyperbolic systems of partial differential inclusions). Zbl 0722.35052
Aubin, Jean-Pierre; Frankowska, Hélène
3
1991
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
Cooperative fuzzy games: the static and dynamic points of view. Zbl 0545.90104
Aubin, Jean-Pierre
3
1984
Further properties of Lagrange multipliers in nonsmooth optimization. Zbl 0432.49025
Aubin, Jean-Pierre
3
1980
Minimisation de critères intégraux. Zbl 0321.49007
Aubin, Jean-Pierre; Ekeland, Ivar
3
1975
Approximation of variational inequations. Zbl 0184.36703
Aubin, J.-P.
3
1967
Traffic networks as information systems. A viability approach. Zbl 1356.90002
Aubin, Jean-Pierre; Désilles, Anya
2
2017
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
2
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
Dynamic core of fuzzy dynamical cooperative games. Zbl 1181.91030
Aubin, Jean-Pierre
2
2005
Boundary-value problems for systems of Hamilton-Jacobi-Bellman inclusions with constraints. Zbl 1043.49029
Aubin, Jean-Pierre
2
2003
Dynamical qualitative analysis of evolutionary systems. Zbl 1059.49006
Aubin, Jean-Pierre; Dordan, Olivier
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
Impulse capture basins of sets under impulse control systems. Zbl 1019.93023
Aubin, Jean-Pierre; Haddad, Georges
2
2002
Traffic networks as information systems. A viability approach. Zbl 1356.90002
Aubin, Jean-Pierre; Désilles, Anya
2
2017
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
Cournot maps for intercepting evader evolutions by a pursuer. Zbl 1348.91058
Aubin, Jean-Pierre; Luxi, Chen; Désilles, Anya
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
2
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
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
5
2013
Chaperoning state evolutions by variable durations. Zbl 1357.49109
Aubin, Jean-Pierre
1
2013
Lax-Hopf formula and Max-Plus properties of solutions to Hamilton-Jacobi equations. Zbl 1269.49023
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
34
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
81
2009
Viability theory. 2nd printing. Zbl 1179.93001
Aubin, Jean-Pierre
22
2009
Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints. Zbl 1171.49005
Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick
10
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
40
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
1
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
8
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
51
2002
History path dependent optimal control and portfolio valuation and management. Zbl 1031.93092
Aubin, J.-P.; Haddad, G.
8
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
Dynamical qualitative analysis of evolutionary systems. Zbl 1059.49006
Aubin, Jean-Pierre; Dordan, Olivier
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
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
16
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
20
2000
Stochastic invariance for differential inclusions. Zbl 0976.49016
Aubin, Jean-Pierre; da Prato, Giuseppe; Frankowska, Hélène
11
2000
Introduction: Set-valued analysis in control theory. Zbl 0962.49001
Aubin, Jean-Pierre; Frankowska, Hélène
8
2000
Boundary-value problems for systems of first-order partial differential inclusions. Zbl 0955.35016
Aubin, Jean-Pierre
6
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
Aubin, Jean-Pierre (ed.); Frankowska, Hélène (ed.)
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
42
1998
Optima and equilibria. An introduction to nonlinear analysis. Transl. from the French by Stephen Wilson. 2nd ed. Zbl 0930.91001
Aubin, Jean-Pierre
35
1998
Fuzzy systems, viability theory and toll sets. Zbl 0930.93051
Aubin, J. P.; Dordan, O.
8
1998
Dynamic economic theory. A viability approach. Zbl 0876.90032
Aubin, Jean-Pierre
25
1997
Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions. Zbl 0879.35096
Aubin, Jean-Pierre; Frankowska, Halina
10
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
Partial differential inclusions governing feedback controls. Zbl 0840.93041
Aubin, Jean-Pierre; Frankowska, Hélène
1
1995
Stochastic Lyapunov method. Zbl 0839.34067
Aubin, Jean-Pierre; Da Prato, Giuseppe
1
1995
Foundation of applied analysis. Zbl 0809.90002
Aubin, Jean-Pierre
6
1994
The “Montagnes Russes” algorithm for global optimization. Zbl 0809.65065
Aubin, Jean-Pierre; Najman, Laurent
2
1994
Optima and equilibria: an introduction to nonlinear analysis. Translated from French by Stephen Wilson. Zbl 0781.90012
Aubin, Jean-Pierre
62
1993
Mutational equations in metrics spaces. Zbl 0784.34015
Aubin, Jean-Pierre
29
1993
A note on differential calculus in metric spaces and its applications to the evolution of tubes. Zbl 0780.49014
Aubin, Jean-Pierre
6
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
204
1991
Viability kernel of control systems. Zbl 0738.93002
Aubin, J.-P.; Frankowska, H.
16
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
1990
A survey of viability theory. Zbl 0714.49021
Aubin, Jean-Pierre
32
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
27
1990
Controllability and observability of control systems under uncertainty. Zbl 0745.93004
Aubin, Jean-Pierre; Frankowska, Halina
16
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
Smallest Lyapunov functions of differential inclusions. Zbl 0723.34036
Aubin, Jean-Pierre
2
1989
Observability of systems under uncertainty. Zbl 0689.93007
Aubin, Jean-Pierre; Frankowska, Halina
2
1989
Victory and defeat in differential games. Zbl 0682.90107
Aubin, Jean-Pierre
2
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
25
1986
Heavy viable trajectories of controlled systems. Zbl 0585.49023
Aubin, Jean-Pierre; Frankowska, Halina
2
1985
Contrôlabilité des processus convexes (Controllability of convex processes). Zbl 0584.49023
Aubin, Jean-Pierre; Frankowska, Halina; Olech, Czeslaw
1
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
Aubin, J.-P. (ed.); Saari, D. (ed.); Sigmund, K. (ed.)
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
891
1984
Lipschitz behavior of solutions to convex minimization problems. Zbl 0539.90085
Aubin, Jean-Pierre
168
1984
L’analyse non linéare et ses motivations économiques. Zbl 0551.90001
Aubin, Jean-Pierre
55
1984
Cooperative fuzzy games: the static and dynamic points of view. Zbl 0545.90104
Aubin, Jean-Pierre
3
1984
Trajectoires lourdes de systèmes contrôlés. Zbl 0561.49011
Aubin, Jean-Pierre; Frankowska, Halina
2
1984
Slow and heavy viable trajectories of controlled problems. Smooth viability domains. Zbl 0558.49017
Aubin, Jean-Pierre
2
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
Convex analysis and optimization. (An expanded version of papers presented at the Colloquium held in honour of Alexander D. Ioffe at Imperial College, London, on February 28-29, 1980). Zbl 0472.00006
Aubin, J.-P. (ed.); Vinter, R. B. (ed.)
1
1982
Cooperative fuzzy games. Zbl 0496.90092
Aubin, Jean-Pierre
103
1981
Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions. Zbl 0484.47034
Aubin, Jean Pierre
45
1981
...and 44 more Documents
all top 5

Cited by 4,892 Authors

48 Ding, Xie Ping
48 Frankowska, Hélène
43 Yao, Jen-Chih
40 Huang, Nan-Jing
38 Aubin, Jean-Pierre
32 Huang, Lihong
30 Penot, Jean-Paul
28 Quincampoix, Marc
26 Migórski, Stanisław
26 Papageorgiou, Nikolaos S.
25 Bressan, Alberto
24 Phan Quôc Khánh
23 Lee, Gue Myung
22 Mordukhovich, Boris S.
21 Flåm, Sjur Didrik
20 Rodriguez Marin, Luis
20 Sach, Pham Huu
19 Kloeden, Peter Eris
19 Seeger, Alberto
19 Włodarczyk, Kazimierz
18 O’Regan, Donal
18 Shakhmurov, Veli B.
18 Nguyen Dong Yen
18 Yuan, George Xian-Zhi
17 Cannarsa, Piermarco
17 Cubiotti, Paolo
17 Danca, Marius-Florin
17 Lin, Lai-Jiu
17 Yu, Jian
16 Cao, Jinde
16 Colombo, Giovanni
16 Geoffroy, Michel H.
16 Sama, Miguel
16 Teo, Kok Lay
15 Agarwal, Ravi P.
15 Anh, Nguyen Le Hoang
15 Lorenz, Thomas
15 Michta, Mariusz
15 Morgan, Jacqueline
14 Anh, Lam Quoc
14 Ansari, Qamrul Hasan
14 Cai, Zuowei
14 Cârjă, Ovidiu
14 Donchev, Tzanko Donchev
14 Liu, Zhenhai
14 Outrata, Jiří V.
14 Plebaniak, Robert
14 Tan, Kok-Keong
14 Teel, Andrew Richard
14 Xue, Xiaoping
14 Yang, Xiaoqi
13 Attouch, Hedy
13 Beer, Gerald Alan
13 Benchohra, Mouffak
13 Cernea, Aurelian
13 Jeong, Jin-Mun
13 Li, Shengjie J.
13 Mahmudov, Elimhan N.
13 Veliov, Vladimir M.
12 Adly, Samir
12 Butnariu, Dan
12 Chalco-Cano, Yurilev
12 Chang, Shih-Sen
12 Guo, Zhenyuan
12 Ioffe, Alexander Davidovich
12 Kim, Won Kyu
12 Křivan, Vlastimil
12 Kryszewski, Wojciech
12 Malinowski, Marek T.
12 Ouahab, Abdelghani
12 Rockafellar, Ralph Tyrrell
12 Yang, Xinmin
12 Yuan, Yongxin
11 Andres, Jan
11 Bettiol, Piernicola
11 Chikriĭ, Arkadiĭ Alekseevich
11 Durea, Marius
11 Kalita, Piotr
11 Kassay, Gábor
11 Li, Shengjie
11 Nieto Roig, Juan Jose
11 Peng, Jianwen
11 Piétrus, Alain
11 Tuan, Le Anh
11 Zaslavski, Alexander Yakovlevich
10 Azé, Dominique
10 Guseinov, Khalik G.
10 Jiménez-Losada, Andrés
10 Liao, Yu-Hsien
10 Ochal, Anna
10 Peng, Zaiyun
10 Qiu, Jinghui
10 Rieger, Janosch
10 Saint-Pierre, Patrick
10 Tijs, Stef H.
10 Ton, Bui An
10 Wangkeeree, Rabian
10 Wets, Roger Jean-Baptiste
9 Balashov, Maxim Viktorovich
9 Beg, Ismat
...and 4,792 more Authors
all top 5

Cited in 500 Serials

429 Journal of Mathematical Analysis and Applications
285 Journal of Optimization Theory and Applications
244 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
114 Journal of Differential Equations
113 Nonlinear Analysis. Theory, Methods & Applications
96 Fuzzy Sets and Systems
88 Journal of Global Optimization
81 Computers & Mathematics with Applications
75 Set-Valued and Variational Analysis
72 Systems & Control Letters
72 Optimization
68 Automatica
67 Set-Valued Analysis
63 Applied Mathematics and Optimization
63 Mathematical Programming. Series A. Series B
61 Numerical Functional Analysis and Optimization
61 Proceedings of the American Mathematical Society
54 Applied Mathematics and Computation
53 Applied Mathematics Letters
49 Journal of Mathematical Economics
44 Journal of Inequalities and Applications
44 Fixed Point Theory and Applications
43 SIAM Journal on Control and Optimization
41 Positivity
39 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
37 Optimization Letters
36 Journal of Computational and Applied Mathematics
36 Applied Mathematics and Mechanics. (English Edition)
36 Neural Networks
35 Numerische Mathematik
35 European Journal of Operational Research
34 Transactions of the American Mathematical Society
34 Abstract and Applied Analysis
27 Bulletin of the Australian Mathematical Society
26 Annali di Matematica Pura ed Applicata. Serie Quarta
26 Nonlinear Analysis. Real World Applications
25 Mathematical Notes
24 SIAM Journal on Optimization
24 Nonlinear Dynamics
24 Proceedings of the Steklov Institute of Mathematics
23 Applicable Analysis
23 Computer Methods in Applied Mechanics and Engineering
23 Advances in Difference Equations
22 Journal of the Franklin Institute
22 Stochastic Analysis and Applications
22 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
22 Differential Equations
21 Journal of Economic Theory
21 Nonlinear Analysis. Hybrid Systems
20 Archive for Rational Mechanics and Analysis
20 Journal of Dynamical and Control Systems
19 International Journal of Game Theory
19 Journal of Fixed Point Theory and Applications
18 Journal of Mathematical Sciences (New York)
18 NoDEA. Nonlinear Differential Equations and Applications
18 Discrete and Continuous Dynamical Systems. Series B
17 Mathematical and Computer Modelling
16 Kybernetika
16 RAIRO. Modélisation Mathématique et Analyse Numérique
16 Calculus of Variations and Partial Differential Equations
15 Information Sciences
15 Topology and its Applications
15 Mathematical Methods of Operations Research
15 Acta Mathematica Sinica. English Series
14 Acta Applicandae Mathematicae
14 Russian Mathematics
14 Economic Theory
14 Dynamic Games and Applications
13 Journal of Functional Analysis
13 MCSS. Mathematics of Control, Signals, and Systems
13 Annals of Operations Research
13 Games and Economic Behavior
13 Computational Optimization and Applications
13 Vietnam Journal of Mathematics
13 International Game Theory Review
12 Journal of Approximation Theory
12 Rendiconti del Circolo Matemàtico di Palermo. Serie II
12 Computational and Applied Mathematics
12 Mediterranean Journal of Mathematics
11 Mathematical Biosciences
11 Ukrainian Mathematical Journal
11 Chaos, Solitons and Fractals
11 Calcolo
11 Computing
11 Zeitschrift für Analysis und ihre Anwendungen
11 Numerical Algorithms
11 European Journal of Control
11 Soft Computing
10 International Journal of Control
10 Mathematics of Computation
10 Insurance Mathematics & Economics
10 Acta Mathematicae Applicatae Sinica. English Series
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 Stochastic Processes and their Applications
10 Journal of Evolution Equations
10 Fuzzy Optimization and Decision Making
10 Journal of Industrial and Management Optimization
9 Archiv der Mathematik
9 Physica D
9 Applied Numerical Mathematics
...and 400 more Serials
all top 5

Cited in 55 Fields

1,679 Calculus of variations and optimal control; optimization (49-XX)
1,048 Operations research, mathematical programming (90-XX)
841 Ordinary differential equations (34-XX)
755 Operator theory (47-XX)
686 Partial differential equations (35-XX)
671 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
667 Systems theory; control (93-XX)
445 Numerical analysis (65-XX)
352 General topology (54-XX)
250 Functional analysis (46-XX)
225 Probability theory and stochastic processes (60-XX)
215 Real functions (26-XX)
197 Dynamical systems and ergodic theory (37-XX)
180 Biology and other natural sciences (92-XX)
152 Mechanics of deformable solids (74-XX)
150 Global analysis, analysis on manifolds (58-XX)
116 Fluid mechanics (76-XX)
94 Measure and integration (28-XX)
74 Computer science (68-XX)
73 Convex and discrete geometry (52-XX)
57 Integral equations (45-XX)
56 Approximations and expansions (41-XX)
48 Mathematical logic and foundations (03-XX)
46 Mechanics of particles and systems (70-XX)
40 Statistics (62-XX)
34 Information and communication theory, circuits (94-XX)
30 Difference and functional equations (39-XX)
29 Linear and multilinear algebra; matrix theory (15-XX)
23 Statistical mechanics, structure of matter (82-XX)
20 Algebraic topology (55-XX)
16 Differential geometry (53-XX)
16 Quantum theory (81-XX)
13 Combinatorics (05-XX)
13 Optics, electromagnetic theory (78-XX)
11 Geophysics (86-XX)
9 Order, lattices, ordered algebraic structures (06-XX)
9 Potential theory (31-XX)
9 Sequences, series, summability (40-XX)
8 History and biography (01-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Manifolds and cell complexes (57-XX)
5 Integral transforms, operational calculus (44-XX)
4 General and overarching topics; collections (00-XX)
4 Algebraic geometry (14-XX)
3 Functions of a complex variable (30-XX)
3 Several complex variables and analytic spaces (32-XX)
2 Category theory; homological algebra (18-XX)
2 Special functions (33-XX)
2 Geometry (51-XX)
2 Relativity and gravitational theory (83-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 \(K\)-theory (19-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. Updates and corrections should be made in Wikidata.