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## Bensoussan, Alain

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 Author ID: bensoussan.alain Published as: Bensoussan, A.; Bensoussan, Alain Homepage: http://www.cityu.edu.hk/seem/abensous/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
 Documents Indexed: 368 Publications since 1967, including 38 Books Biographic References: 2 Publications
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#### Co-Authors

 89 single-authored 56 Lions, Jacques-Louis 41 Frehse, Jens 27 Sethi, Suresh P. 22 Yam, Sheung Chi Phillip 16 Çakanyıldırım, Metin 13 Papanicolaou, George C. 11 Hoe, SingRu 8 Proth, Jean-Marie 7 Boccardo, Lucio 7 Mertz, Laurent 7 Turi, Janos 6 Crouhy, Michel G. 5 Blankenship, Gilmer L. 5 Menaldi, Jose-Luis 5 Mitter, Sanjoy K. 5 Nagai, Hideo 5 Tapiero, Charles S. 4 Chau, Man Ho Michael 4 Chen, Shaokuan 4 Delfour, Michel Claude 4 Elliott, Robert James 4 Friedman, Avner 4 Galai, Dan 4 Glowinski, Roland 4 Kantarcioglu, Murat 4 Liu, Jingzhen 4 Murat, François 4 Rascanu, Aurel 4 Temam, Roger Meyer 4 Yan, ZhongFeng 4 Yiu, Ka Fai Cedric 3 Aubin, Jean-Pierre 3 Da Prato, Giuseppe 3 Li, Meng 3 Minjárez-Sosa, J. Adolfo 3 Peng, Shige 3 Shi, Ruixia 3 Wong, Kwok Chuen 2 Baras, John S. 2 Benkherouf, Lakdere 2 Bernhard, Pierre 2 Bertrand, Pierre Raphael 2 Borkar, Vivek Shripad 2 Breit, Dominic 2 Brouste, Alexandre 2 Bulíček, Miroslav 2 Chow, Pao-Liu 2 Chutani, Anshuman 2 Delarue, François 2 Diltz, J. David 2 Ekeland, Ivar 2 Goursat, Maurice 2 Grün, Christine 2 Julien, Hugues 2 Kleindorfer, Paul R. 2 Kokotovic, Petar V. 2 Koo, Hyeng Keun 2 Royal, Andrew J. 2 Runggaldier, Wolfgang J. 2 Siu, Chi Chung 2 Skaaning, Sonny 2 Song, Huaming 2 Sung, K. C. J. 2 Viot, Michel 2 Vogelgesang, Jens 2 Yang, Hui 2 Yung, Siu Pang 1 Aggoun, Lakhdar 1 Ąkanyildirim, Metin 1 Başar, Tamer 1 Bossavit, Alain 1 Brézis, Haïm 1 Bultez, Alain V. 1 Cadenillas, Abel 1 Cass, Thomas Richard 1 Chandrasekaran, Keerthi 1 Chandrasekharan, Keerthi 1 Chevalier-Roignant, Benoît 1 Curtain, Ruth Frances 1 Delebecque, Francois 1 Derzko, Nicolas A. 1 Djehiche, Boualem 1 Evstigneev, Igor V. 1 Feau, Cyril 1 Feng, Xinwei 1 Fhima, Mehdi 1 Flandoli, Franco 1 Gomez, Claude 1 Guégan, Dominique 1 Guo, Pengfei 1 Haouas, Nabiha 1 Huang, Jianhui 1 Huang, Tao 1 Hurst, E. Gerald jun. 1 Iliine, Cyrill 1 James, Matthew R. 1 Jameson Graber, P. 1 Jang, Bong-Gyu 1 Jasso-Fuentes, Héctor 1 Kenneth, P. ...and 54 more Co-Authors
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#### Serials

 19 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 18 SIAM Journal on Control and Optimization 15 Applied Mathematics and Optimization 10 Lecture Notes in Control and Information Sciences 8 IEEE Transactions on Automatic Control 6 Journal of Optimization Theory and Applications 6 Comptes Rendus de l’Académie des Sciences. Série I 5 Discrete and Continuous Dynamical Systems. Series B 4 Stochastics 4 Operations Research 4 Chinese Annals of Mathematics. Series B 4 Acta Applicandae Mathematicae 4 Asymptotic Analysis 4 Mathematical Finance 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 SIAM Journal on Financial Mathematics 3 Journal of Mathematical Analysis and Applications 3 Journal für die Reine und Angewandte Mathematik 3 Systems & Control Letters 3 Stochastic Processes and their Applications 3 Systems & Control: Foundations & Applications 3 Risk and Decision Analysis 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Applied Mathematics and Computation 2 Automatica 2 Commentationes Mathematicae Universitatis Carolinae 2 Journal of Functional Analysis 2 Journal of the Mathematical Society of Japan 2 Management Science 2 Le Matematiche 2 Mathematics of Operations Research 2 RAIRO, Automatique, Systems Analysis and Control 2 Operations Research Letters 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 RAIRO. Automatique-Productique, Informatique Industrielle 2 Stochastics and Stochastics Reports 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Communications on Pure and Applied Analysis 2 Journal of Industrial and Management Optimization 2 Stochastics 2 SIAM Journal on Control 2 Studies in Probability, Optimization and Statistics 2 Dynamic Games and Applications 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Russian Mathematical Surveys 1 Conferenze del Seminario di Matematica dell’Università di Bari 1 INFOR. Information Systems and Operational Research 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Naval Research Logistics 1 Numerical Functional Analysis and Optimization 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Ricerche di Matematica 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Large Scale Systems 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Stochastic Analysis and Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computers & Operations Research 1 Mathematical and Computer Modelling 1 CWI Quarterly 1 Stochastic Hydrology and Hydraulics 1 Annals of Operations Research 1 Mathematica Bohemica 1 Communications in Partial Differential Equations 1 European Journal of Operational Research 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Matemática Aplicada e Computacional 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 1 Philosophical Transactions of the Royal Society of London. Series A 1 Georgian Mathematical Journal 1 Journal of Convex Analysis 1 Applied Mathematical Finance 1 Obozrenie Prikladnoĭ i Promyshlennoĭ Matematiki 1 Discrete and Continuous Dynamical Systems 1 Finance and Stochastics 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Communications in Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Markov Processes and Related Fields 1 Journal of Applied Statistics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Evolution Equations 1 Communications in Information and Systems 1 AMRX. Applied Mathematics Research eXpress 1 Communications in Mathematical Sciences 1 Rendiconti di Matematica, VI. Serie 1 Revue Française d’Informatique et de Recherche Opérationnelle 1 Applied Mathematical Sciences 1 Interdisciplinary Applied Mathematics 1 Lecture Notes in Economics and Mathematical Systems 1 Proceedings of the Steklov Institute of Mathematics ...and 9 more Serials
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#### Fields

 173 Systems theory; control (93-XX) 127 Calculus of variations and optimal control; optimization (49-XX) 113 Probability theory and stochastic processes (60-XX) 101 Partial differential equations (35-XX) 91 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 81 Operations research, mathematical programming (90-XX) 21 General and overarching topics; collections (00-XX) 17 Ordinary differential equations (34-XX) 16 Statistics (62-XX) 12 Numerical analysis (65-XX) 8 Mechanics of deformable solids (74-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 History and biography (01-XX) 4 Computer science (68-XX) 4 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Mechanics of particles and systems (70-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 1 Combinatorics (05-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

261 Publications have been cited 5,546 times in 4,154 Documents Cited by Year
Asymptotic analysis for periodic structures. Zbl 0404.35001
Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, George
1978
Boundary layer analysis in homogeneization of diffusion equations with Dirichlet conditions in the half space. Zbl 0411.60078
Bensoussan, A.; Lions, J. L.; Papanicolaou, G.
1978
Mean field games and mean field type control theory. Zbl 1287.93002
Bensoussan, Alain; Frehse, Jens; Yam, Phillip
2013
Applications des inéquations variationnelles en contrôle stochastique. Zbl 0411.49002
Bensoussan, A.; Lions, J.-L.
1978
Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
2007
Equations stochastiques du type Navier-Stokes. Zbl 0265.60094
Bensoussan, A.; Temam, R.
1973
Stochastic control of partially observable systems. Zbl 0776.93094
Bensoussan, Alain
1992
Applications of variational inequalities in stochastic control. Transl. from the French. Zbl 0478.49002
Bensoussan, Alain; Lions, Jacques-Louis
1982
Lectures on stochastic control. I: Variational methods in stochastic control. Zbl 0505.93078
Bensoussan, A.
1982
Contrôle impulsionnel et inéquations quasi variationnelles. Zbl 0491.93002
Bensoussan, A.; Lions, J. L.
1982
Representation and control of infinite dimensional systems. Volume I. Zbl 0781.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
1992
Stochastic control by functional analysis methods. Zbl 0474.93002
Bensoussan, Alain
1982
Boundary layers and homogenization of transport processes. Zbl 0408.60100
Bensoussan, Alain; Lions, Jacques L.; Papanicolaou, George C.
1979
Perturbation methods in optimal control. Transl. from the French by C. Tomson. Zbl 0648.49001
Bensoussan, Alain
1988
Stochastic Navier-Stokes equations. Zbl 0836.35115
Bensoussan, A.
1995
On a nonlinear partial differential equation having natural growth terms and unbounded solution. Zbl 0696.35042
Bensoussan, A.; Boccardo, L.; Murat, F.
1988
Asymptotic analysis for periodic structures. Reprint of the 1978 original with corrections and bibliographical additions. Zbl 1229.35001
Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, George
2011
Nouvelle formulation de problèmes de contrôle impulsionnel et applications. Zbl 0266.49007
Bensoussan, Alain; Lions, Jacques-Louis
1973
Contrôle impulsionnel et inéquations quasi-variationnelles stationnaires. Zbl 0264.49004
Bensoussan, Alain; Goursat, Maurice; Lions, Jacques-Louis
1973
On the theory of option pricing. Zbl 0554.90019
Bensoussan, A.
1984
Linear-quadratic mean field games. Zbl 1343.91010
Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P.; Yung, S. P.
2016
Regularity results for nonlinear elliptic systems and applications. Zbl 1055.35002
Bensoussan, Alain; Frehse, Jens
2002
Maximum principle and dynamic programming approaches of the optimal control of partially observed diffusions. Zbl 0516.60072
Bensoussan, A.
1983
Nouvelles méthodes en contrôle impulsionnel. Zbl 0339.93033
Bensoussan, A.; Lions, J. L.
1975
Stochastic maximum principle for distributed parameter systems. Zbl 0519.93042
Bensoussan, A.
1983
Representation and control of infinite dimensional systems. Vol. 2. Zbl 0790.93016
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
1993
Equations aux dérivées partielles stochastiques non linéaires. I. Zbl 0241.35009
Bensoussan, A.; Temam, R.
1972
Filtrage optimal des systèmes linéaires. (Optimal filtering of linear systems). Zbl 0231.93022
Bensoussan, Alain
1971
Optimal impulse and continuous control: Method of nonlinear quasi- variational inequalities. Zbl 0324.49005
Bensoussan, A.; Lions, J. L.
1975
Points de Nash dans le cas de fonctionnelles quadratiques et jeux différentiels linéaires à N personnes. Zbl 0254.90066
Bensoussan, A.
1974
Management applications of modern control theory. Zbl 0343.90001
Bensoussan, A.; Hurst, E. Gerald jun.; Näslund, B.
1974
Optimality of $$(s,S)$$ policy with compound Poisson and diffusion demands: A quasi-variational inequalities approach. Zbl 1151.90304
Bensoussan, Alain; Liu, R. H.; Sethi, Suresh P.
2006
Optimal control of partially observable stochastic systems with an exponential-of-integral performance index. Zbl 0574.93067
Bensoussan, A.; van Schuppen, J. H.
1985
Mathematical theory of production planning. Zbl 0564.90010
Bensoussan, Alain; Crouhy, Michel; Proth, Jean-Marie
1983
Nonlinear variational inequalities and differential games with stopping times. Zbl 0297.90120
Bensoussan, Alain; Friedman, Avner
1974
The master equation in mean field theory. Zbl 1325.35232
Bensoussan, Alain; Frehse, Jens; Yam, Sheung Chi Phillip
2015
A class of non-zero-sum stochastic differential investment and reinsurance games. Zbl 1297.93180
Bensoussan, Alain; Siu, Chi Chung; Yam, Sheung Chi Phillip; Yang, Hailiang
2014
Nonzero-sum stochastic differential games with stopping times and free boundary problems. Zbl 0368.93029
Bensoussan, Alain; Friedman, Avner
1977
Hybrid control and dynamic programming. Zbl 0897.49022
Bensoussan, A.; Menaldi, J. L.
1997
Optimal impulse and continuous control: Method of nonlinear quasi- variational inequalities. Zbl 0373.49004
Bensoussan, A.; Lions, J.-L.
1977
Some existence results for stochastic partial differential equations. Zbl 0793.60067
Bensoussan, A.
1992
On Bellman equations of ergodic control in $$\mathbb{R}{}^ n$$. Zbl 0779.35038
Bensoussan, A.; Frehse, J.
1992
Stochastic inertial manifold. Zbl 0854.60059
Bensoussan, Alain; Flandoli, Franco
1995
Contrôle impulsionnel et inéquations quasi-variationnelles d’évolution. Zbl 0264.49005
Bensoussan, Alain; Lions, Jacques-Louis
1973
On the interpretation of the master equation. Zbl 1379.60063
Bensoussan, A.; Frehse, J.; Yam, S. C. P.
2017
Stochastic variational inequalities in infinite dimensional spaces. Zbl 0887.60063
Bensoussan, Alain; Rascanu, Aurel
1997
Nonlinear elliptic systems in stochastic game theory. Zbl 0531.93052
Bensoussan, A.; Frehse, J.
1984
Time-consistent portfolio selection under short-selling prohibition: from discrete to continuous setting. Zbl 1348.60096
Bensoussan, A.; Wong, K. C.; Yam, S. C. P.; Yung, S. P.
2014
Approximation of some stochastic differential equations by the splitting up method. Zbl 0745.65089
Bensoussan, A.; Glowinski, R.; Rǎşcanu, A.
1992
Stochastic games for $$N$$ players. Zbl 0977.91006
Bensoussan, A.; Frehse, J.
2000
Problèmes de temps d’arret optimal et inéquations variationnelles paraboliques. Zbl 0341.60032
Bensoussan, A.; Lions, J. L.
1973
Mean field games with a dominating player. Zbl 1348.49031
Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P.
2016
The maximum principle for global solutions of stochastic Stackelberg differential games. Zbl 1320.91042
Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P.
2015
Dynamic programming and inventory control. Zbl 1252.90001
Bensoussan, Alain
2011
Asymptotic behaviour of the time dependent Norton-Hoff law in plasticity theory and $$H^ 1$$ regularity. Zbl 0851.35079
Bensoussan, A.; Frehse, J.
1996
Regularity theory for systems of partial differential equations with Neumann boundary conditions. Zbl 1140.35407
Bensoussan, A.; Frehse, J.
2002
Impulsive control in management: Prospects and applications. Zbl 0465.90022
Bensoussan, A.; Tapiero, C. S.
1982
Mean field Stackelberg games: aggregation of delayed instructions. Zbl 1320.91028
Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P.
2015
Optimality of an $$(s,S)$$ policy with compound Poisson and diffusion demands: a quasi-variational inequalities approach. Zbl 1194.93215
Benkherouf, Lakdere; Bensoussan, Alain
2009
$$H$$ convergence for quasi-linear elliptic equations with quadratic growth. Zbl 0795.35008
Bensoussan, A.; Boccardo, L.; Murat, F.
1992
On the asymptotic behaviour of the solution of variational inequalities. Zbl 0437.49014
Bensoussan, Alain; Lions, Jacques-Louis
1978
Sur quelques phénomènes asymptotiques stationnaires. Zbl 0309.35007
Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, Georges
1975
Optimal consumption and portfolio decisions with partially observed real prices. Zbl 1168.91375
Bensoussan, Alain; Keppo, Jussi; Sethi, Suresh P.
2009
Approximation of the Zakai equation by the splitting up method. Zbl 0726.60040
Bensoussan, A.; Glowinski, R.; Rascanu, A.
1990
Stochastic production planning with production constraints. Zbl 0561.90044
Bensoussan, A.; Sethi, S. P.; Vickson, R.; Derzko, N.
1984
Systems of partial differential equations and stochastic control. Zbl 0548.35037
Bensoussan, A.
1981
Dynamic observers as asymptotic limits of recursive filters: Special cases. Zbl 0658.93017
Baras, J. S.; Bensoussan, A.; James, M. R.
1988
Linear-quadratic time-inconsistent mean field games. Zbl 1314.91040
Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P.
2013
Homogenization of elliptic equations with principal part not in divergence form and Hamiltonian with quadratic growth. Zbl 0602.35030
Bensoussan, A.; Boccardo, L.; Murat, F.
1986
Well-posedness of mean-field type forward-backward stochastic differential equations. Zbl 1327.60114
Bensoussan, A.; Yam, S. C. P.; Zhang, Z.
2015
Threshold-type policies for real options using regime-switching models. Zbl 1255.91444
Bensoussan, Alain; Yan, ZhongFeng; Yin, G.
2012
Difference equations on weighted graphs. Zbl 1068.05039
Bensoussan, Alain; Menaldi, José-Luis
2005
Nonlinear systems of elliptic equations with natural growth conditions and sign conditions. Zbl 1077.35046
Bensoussan, Alain; Boccardo, Lucio
2002
Local solutions for stochastic Navier-Stokes equations. Zbl 0972.76021
Bensoussan, Alain; Frehse, Jens
2000
On the Hamilton-Jacobi approach for the optimal control of diffusion processes with jumps. Zbl 0446.93052
Bensoussan, A.
1978
Optimum inventory and product quality control with deterministic and stochastic deterioration - an application of distributed parameters control systems. Zbl 0301.93072
Bensoussan, Alain; Nissen, Georges; Tapiero, Charles S.
1975
Optimal control of stochastic linear distributed parameter systems. Zbl 0276.93058
Bensoussan, A.; Viot, M.
1975
Smooth solutions of systems of quasilinear parabolic equations. Zbl 1078.35022
Bensoussan, Alain; Frehse, Jens
2002
Differential games with mixed leadership: The open-loop solution. Zbl 1198.91039
Başar, Tamer; Bensoussan, Alain; Sethi, Suresh P.
2010
Some results on risk-sensitive control with full observation. Zbl 0896.93035
Bensoussan, A.; Frehse, J.; Nagai, H.
1998
A finite-dimensional risk-sensitive control problem. Zbl 0841.93081
Bensoussan, Alain; Elliott, Robert J.
1995
Linear-quadratic mean field Stackelberg games with state and control delays. Zbl 1372.91021
Bensoussan, A.; Chau, M. H. M.; Lai, Y.; Yam, S. C. P.
2017
Partially observed inventory systems: The case of zero-balance walk. Zbl 1190.90015
Bensoussan, Alain; Ąkanyildirim, Metin; Sethi, Suresh P.
2007
Stochastic hybrid control. Zbl 0967.93097
Bensoussan, A.; Menaldi, J. L.
2000
Asymptotic behaviour of Norton-Hoff’s law in plasticity theory and $$H^ 1$$ regularity. Zbl 0831.35047
Bensoussan, A.; Frehse, J.
1993
Optimal sensor scheduling in nonlinear filtering of diffusion processes. Zbl 0683.49001
Baras, John S.; Bensoussan, Alain
1989
A stochastic impulse control problem with quadratic growth Hamiltonian and the corresponding quasi variational inequality. Zbl 0474.49013
Bensoussan, A.; Frehse, J.; Mosco, U.
1982
On the support of the solution of some variational inequalities of evolution. Zbl 0341.49026
Bensoussan, A.; Lions, J. L.
1976
A multiperiod newsvendor problem with partially observed demand. Zbl 1279.90008
Bensoussan, Alain; Çakanyıldırım, Metin; Sethi, Suresh P.
2007
On the optimal control of partially observed inventory systems. Zbl 1134.90303
Bensoussan, Alain; Çakanyıldırım, Metin; Sethi, Suresh P.
2005
Singular perturbations in stochastic control. Zbl 0622.93076
Bensoussan, A.; Blankenship, G. L.
1987
Singular perturbation results for a class of stochastic control problems. Zbl 0476.93078
Bensoussan, Alain
1981
Optimization of sensors’ location in a distributed filtering problem. Zbl 0287.93020
Bensoussan, Alain
1972
Saddle points of convex concave functionals. With applications to linear quadratic differential games. Zbl 0219.90060
Bensoussan, A.
1971
Existence and uniqueness of solutions for Bertrand and Cournot mean field games. Zbl 1382.35141
Graber, P. Jameson; Bensoussan, Alain
2018
Feedback Stackelberg solutions of infinite-horizon stochastic differential games. Zbl 1296.91063
Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P.
2014
Control and Nash games with mean field effect. Zbl 1264.49028
Bensoussan, Alain; Frehse, Jens
2013
An ultra weak finite element method as an alternative to a Monte Carlo method for an elasto-plastic problem with noise. Zbl 1210.37060
Bensoussan, Alain; Mertz, Laurent; Pironneau, Olivier; Turi, Janos
2009
Ergodic Bellman systems for stochastic games in arbitrary dimension. Zbl 0833.90141
Bensoussan, A.; Frehse, J.
1995
Homogenization of a class of stochastic partial differential equations. Zbl 0737.60054
Bensoussan, A.
1991
Mean-field-type games with jump and regime switching. Zbl 1437.91050
Bensoussan, Alain; Djehiche, Boualem; Tembine, Hamidou; Yam, Sheung Chi Phillip
2020
Mean field games with parametrized followers. Zbl 07158610
Bensoussan, Alain; Cass, Thomas; Chau, Man Ho Michael; Yam, Sheung Chi Phillip
2020
A paradox in time-consistency in the mean-variance problem? Zbl 1426.91240
Bensoussan, Alain; Wong, Kwok Chuen; Yam, Sheung Chi Phillip
2019
Control problem on space of random variables and master equation. Zbl 1450.35305
Bensoussan, Alain; Yam, Sheung Chi Phillip
2019
A mean-variance approach to capital investment optimization. Zbl 1411.91481
Bensoussan, Alain; Hoe, SingRu (Celine); Yan, Zhongfeng
2019
Existence and uniqueness of solutions for Bertrand and Cournot mean field games. Zbl 1382.35141
Graber, P. Jameson; Bensoussan, Alain
2018
Estimation and control of dynamical systems. Zbl 1401.37001
Bensoussan, Alain
2018
Optimal inventory control with jump diffusion and nonlinear dynamics in the demand. Zbl 1378.35176
Liu, Jingzhen; Cedric Yiu, Ka Fai; Bensoussan, Alain
2018
Mean field control and mean field game models with several populations. Zbl 1406.35416
Bensoussan, Alain; Huang, Tao; Laurière, Mathieu
2018
On the interpretation of the master equation. Zbl 1379.60063
Bensoussan, A.; Frehse, J.; Yam, S. C. P.
2017
Linear-quadratic mean field Stackelberg games with state and control delays. Zbl 1372.91021
Bensoussan, A.; Chau, M. H. M.; Lai, Y.; Yam, S. C. P.
2017
Real options with competition and regime switching. Zbl 1414.91403
Bensoussan, Alain; Hoe, Singru; Yan, Zhongfeng; Yin, George
2017
Base stock list price policy in continuous time. Zbl 1360.93767
Bensoussan, Alain; Skaaning, Sonny
2017
Optimality of $$(s,S)$$ policies with nonlinear processes. Zbl 1360.90016
Liu, Jingzhen; Yiu, Ka Fai Cedric; Bensoussan, Alain
2017
Linear-quadratic mean field games. Zbl 1343.91010
Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P.; Yung, S. P.
2016
Mean field games with a dominating player. Zbl 1348.49031
Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P.
2016
Unemployment risks and optimal retirement in an incomplete market. Zbl 1348.91247
Bensoussan, Alain; Jang, Bong-Gyu; Park, Seyoung
2016
Mean-field-game model for botnet defense in cyber-security. Zbl 1372.49049
Kolokoltsov, V. N.; Bensoussan, A.
2016
Nonlocal boundary value problems of a stochastic variational inequality modeling an elasto-plastic oscillator excited by a filtered noise. Zbl 1456.74061
Bensoussan, A.; Mertz, L.; Yam, S. C. P.
2016
Parabolic Bellman-systems with mean field dependence. Zbl 1342.35054
Bensoussan, Alain; Breit, Dominic; Frehse, Jens
2016
Preface: In memory of A. V. Balakrishnan. Zbl 1341.01041
Bensoussan, Alain (ed.); Kukavica, Igor (ed.); Lasiecka, Irena (ed.); Mitter, Sanjoy (ed.); Temam, Roger (ed.); Triggiani, Roberto (ed.)
2016
The optimal mean variance problem with inflation. Zbl 1327.90362
Liu, Jingzhen; Yiu, Ka Fai Cedric; Bensoussan, Alain
2016
The master equation in mean field theory. Zbl 1325.35232
Bensoussan, Alain; Frehse, Jens; Yam, Sheung Chi Phillip
2015
The maximum principle for global solutions of stochastic Stackelberg differential games. Zbl 1320.91042
Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P.
2015
Mean field Stackelberg games: aggregation of delayed instructions. Zbl 1320.91028
Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P.
2015
Well-posedness of mean-field type forward-backward stochastic differential equations. Zbl 1327.60114
Bensoussan, A.; Yam, S. C. P.; Zhang, Z.
2015
Entrepreneurial decisions on effort and project with a nonconcave objective function. Zbl 1329.90071
Bensoussan, Alain; Cadenillas, Abel; Koo, Hyeng Keun
2015
Degenerate Dirichlet problems related to the ergodic property of an elasto-plastic oscillator excited by a filtered white noise. Zbl 1328.35235
Mertz, Laurent; Bensoussan, Alain
2015
An analytical approach for the growth rate of the variance of the deformation related to an elasto-plastic oscillator excited by a white noise. Zbl 1337.60148
Bensoussan, Alain; Feau, Cyril; Mertz, Laurent; Yam, Sheung Chi Phillip
2015
Technical note: Managing nonperishable inventories with learning about demand arrival rate through stockout times. Zbl 1327.90005
Bensoussan, Alain; Guo, Pengfei
2015
A class of non-zero-sum stochastic differential investment and reinsurance games. Zbl 1297.93180
Bensoussan, Alain; Siu, Chi Chung; Yam, Sheung Chi Phillip; Yang, Hailiang
2014
Time-consistent portfolio selection under short-selling prohibition: from discrete to continuous setting. Zbl 1348.60096
Bensoussan, A.; Wong, K. C.; Yam, S. C. P.; Yung, S. P.
2014
Feedback Stackelberg solutions of infinite-horizon stochastic differential games. Zbl 1296.91063
Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P.
2014
Mean-variance pre-commitment policies revisited via a mean-field technique. Zbl 1314.91189
Bensoussan, A.; Wong, K. C.; Yam, S. C. P.
2014
Optimal decision making in multi-product dual sourcing procurement with demand forecast updating. Zbl 1348.90042
Song, Hua-ming; Yang, Hui; Bensoussan, Alain; Zhang, Ding
2014
Control and Nash games with mean field effect. Zbl 1331.49036
Bensoussan, Alain; Frehse, Jens
2014
Stochastic differential games with a varying number of players. Zbl 1307.91032
Bensoussan, Alain; Frehse, Jens; Grün, Christine
2014
Mean field games and mean field type control theory. Zbl 1287.93002
Bensoussan, Alain; Frehse, Jens; Yam, Phillip
2013
Linear-quadratic time-inconsistent mean field games. Zbl 1314.91040
Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P.
2013
Control and Nash games with mean field effect. Zbl 1264.49028
Bensoussan, Alain; Frehse, Jens
2013
Linear quadratic differential games with mixed leadership: the open-loop solution. Zbl 1262.91010
Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P.
2013
Optimal inventory control with shrinkage and observed sales. Zbl 1302.90009
Bensoussan, Alain; Çakanyıldırım, Metin; Li, Meng; Sethi, Suresh P.
2013
Optimizing production and inventory decisions in a supply chain with lot size, production rate and lead time interactions. Zbl 1334.90014
Song, Hua-Ming; Yang, Hui; Bensoussan, Alain
2013
Real options, ambiguity, risk and insurance. Zbl 1272.91002
Bensoussan, Alain (ed.); Peng, Shige (ed.); Sung, Jaeyoung (ed.)
2013
Threshold-type policies for real options using regime-switching models. Zbl 1255.91444
Bensoussan, Alain; Yan, ZhongFeng; Yin, G.
2012
Impulse control with random reaction periods: a central bank intervention problem. Zbl 1258.90030
Bensoussan, Alain; Long, Hongwei; Perera, Sandun; Sethi, Suresh
2012
Existence and compactness for weak solutions to Bellman systems with critical growth. Zbl 1255.35106
Bensoussan, Alain; Bulíček, Miroslav; Frehse, Jens
2012
An analytic approach to the ergodic theory of a stochastic variational inequality. Zbl 1248.60078
Bensoussan, Alain; Mertz, Laurent
2012
Nash and Stackelberg differential games. Zbl 1254.91051
Bensoussan, Alain; Frehse, Jens; Vogelgesang, Jens
2012
Long cycle behavior of the plastic deformation of an elasto-perfectly-plastic oscillator with noise. Zbl 1310.74011
Bensoussan, Alain; Mertz, Laurent; Yam, S. C. P.
2012
Asymptotic analysis for periodic structures. Reprint of the 1978 original with corrections and bibliographical additions. Zbl 1229.35001
Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, George
2011
Dynamic programming and inventory control. Zbl 1252.90001
Bensoussan, Alain
2011
Average cost optimality in inventory models with dynamic information delays. Zbl 1368.90005
Bensoussan, Alain; Çakanyıldırım, Metin; Sethi, Suresh P.; Wang, Mingzheng; Zhang, Hanqin
2011
Computation of approximate optimal policies in a partially observed inventory model with rain checks. Zbl 1234.90003
Bensoussan, Alain; Cakanyildirim, Metin; Sethi, Suresh P.; Shi, Ruixia
2011
Filtering for discrete-time Markov processes and applications to inventory control with incomplete information. Zbl 1228.60051
Bensoussan, A.; Çakanyıldırım, M.; Sethi, S. P.
2011
Differential games with mixed leadership: The open-loop solution. Zbl 1198.91039
Başar, Tamer; Bensoussan, Alain; Sethi, Suresh P.
2010
Systems of Bellman equations to stochastic differential games with non-compact coupling. Zbl 1191.35275
Bensoussan, Alain; Frehse, Jens; Vogelgesang, Jens
2010
Inventory control with an order-time constraint: optimality, uniqueness and significance. Zbl 1229.90007
Bensoussan, Alain; Moussawi-Haidar, Lama; Çakanyıldırım, Metin
2010
Real options games in complete and incomplete markets with several decision makers. Zbl 1203.91319
Bensoussan, Alain; Diltz, J. David; Hoe, SingRu
2010
A game-theoretical approach for finding optimal strategies in a botnet defense model. Zbl 1298.91058
Bensoussan, Alain; Kantarcioglu, Murat; Hoe, SingRu (Celine)
2010
On a class of partial differential equations with nonlocal Dirichlet boundary conditions. Zbl 1195.35107
Bensoussan, Alain; Turi, Janos
2010
Singular control and impulse control: a common approach. Zbl 1181.49033
Bensoussan, Alain; Liu, John; Yuan, Jiguang
2010
An incomplete information inventory model with presence of inventories or backorders as only observations. Zbl 1217.90008
Bensoussan, A.; Çakanyıldırım, M.; Minjárez-Sosa, J. A.; Sethi, S. P.; Shi, R.
2010
Optimal control of variational inequalities. Zbl 1214.49008
Bensoussan, Alain; Chandrasekaran, Keerthi; Turi, Janos
2010
When do firms invest in privacy-preserving technologies? Zbl 1298.91064
Kantarcioglu, Murat; Bensoussan, Alain; Hoe, SingRu (Celine)
2010
Optimality of an $$(s,S)$$ policy with compound Poisson and diffusion demands: a quasi-variational inequalities approach. Zbl 1194.93215
Benkherouf, Lakdere; Bensoussan, Alain
2009
Optimal consumption and portfolio decisions with partially observed real prices. Zbl 1168.91375
Bensoussan, Alain; Keppo, Jussi; Sethi, Suresh P.
2009
An ultra weak finite element method as an alternative to a Monte Carlo method for an elasto-plastic problem with noise. Zbl 1210.37060
Bensoussan, Alain; Mertz, Laurent; Pironneau, Olivier; Turi, Janos
2009
Optimal cash management under uncertainty. Zbl 1182.91189
Bensoussan, Alain; Chutani, Anshuman; Sethi, Suresh P.
2009
On diagonal elliptic and parabolic systems with super-quadratic Hamiltonians. Zbl 1152.35361
Bensoussan, Alain; Frehse, Jens
2009
A note on “The censored newsvendor and the optimal acquisition of information”. Zbl 1233.90010
Bensoussan, Alain; Çakanyıldırım, Metin; Sethi, Suresh P.
2009
Bayesian and adaptive controls for a newsvendor facing exponential demand. Zbl 05794652
Bensoussan, Alain; Çakanyıldırım, Metin; Royal, Andrew; Sethi, Suresh P.
2009
Censored newsvendor model revisited with unnormalized probabilities. Zbl 1185.93123
Bensoussan, Alain; Çakanyildirim, Metin; Sethi, Suresh P.
2009
Diagonal elliptic Bellman systems for stochastic differential games with discount control and noncompact coupling. Zbl 1196.35082
Bensoussan, Alain; Frehse, Jens
2009
Degenerate Dirichlet problems related to the invariant measure of elasto-plastic oscillators. Zbl 1168.60029
Bensoussan, Alain; Turi, Janos
2008
Systems of Bellman equations to stochastic differential games with discount control. Zbl 1190.49045
Bensoussan, Alain; Frehse, Jens
2008
Partially observed inventory systems: the case of rain checks. Zbl 1170.90003
Bensoussan, Alain; ÇAkanyildirim, Metin; Minjárez-Sosa, J. Adolfo; Sethi, Suresh P.; Shi, Ruixia
2008
Inventory problems with partially observed demands and lost sales. Zbl 1190.90014
Bensoussan, A.; Çakanyıldırım, M.; Minjárez-Sosa, J. A.; Royal, A.; Sethi, S. P.
2008
Impulse control in discrete time. Zbl 1151.49029
Bensoussan, Alain
2008
Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
2007
Partially observed inventory systems: The case of zero-balance walk. Zbl 1190.90015
Bensoussan, Alain; Ąkanyildirim, Metin; Sethi, Suresh P.
2007
A multiperiod newsvendor problem with partially observed demand. Zbl 1279.90008
Bensoussan, Alain; Çakanyıldırım, Metin; Sethi, Suresh P.
2007
The machine maintenance and sale age model of Kamien and Schwartz revisited. Zbl 1232.90164
Bensoussan, Alain; Sethi, Suresh P.
2007
Optimality of $$(s,S)$$ policy with compound Poisson and diffusion demands: A quasi-variational inequalities approach. Zbl 1151.90304
Bensoussan, Alain; Liu, R. H.; Sethi, Suresh P.
2006
Optimality of base-stock and $$(s,S)$$ policies for inventory problems with information delays. Zbl 1184.90006
Bensoussan, A.; Çakanyildirim, M.; Sethi, S. P.
2006
Explicit solutions of linear quadratic differential games. Zbl 1136.91330
Bensoussan, A.
2006
Stochastic variational inequalities for elasto-plastic oscillators. Zbl 1111.60050
Bensoussan, Alain; Turi, Janos
2006
Stochastic equations for linear random functionals and statistical problems. Zbl 1110.60037
Bensoussan, Alain
2006
Difference equations on weighted graphs. Zbl 1068.05039
Bensoussan, Alain; Menaldi, José-Luis
2005
On the optimal control of partially observed inventory systems. Zbl 1134.90303
Bensoussan, Alain; Çakanyıldırım, Metin; Sethi, Suresh P.
2005
Penalty approximation and analytical characterization of the problem of super-replication under portfolio constraints. Zbl 1109.91021
Bensoussan, Alain; Touzi, Nizar; Menaldi, José Luis
2005
Homogenization of systems of partial differential equations. Zbl 1128.35016
Bensoussan, A.
2005
Some remarks on linear filtering theory for infinite dimensional systems. Zbl 1042.93056
Bensoussan, Alain
2003
Regularity results for nonlinear elliptic systems and applications. Zbl 1055.35002
Bensoussan, Alain; Frehse, Jens
2002
Regularity theory for systems of partial differential equations with Neumann boundary conditions. Zbl 1140.35407
Bensoussan, A.; Frehse, J.
2002
Nonlinear systems of elliptic equations with natural growth conditions and sign conditions. Zbl 1077.35046
Bensoussan, Alain; Boccardo, Lucio
2002
Smooth solutions of systems of quasilinear parabolic equations. Zbl 1078.35022
Bensoussan, Alain; Frehse, Jens
2002
Ergodic control Bellman equation with Neumann boundary conditions. Zbl 1050.93075
Bensoussan, Alain; Frehse, Jens
2002
Breathers for a relativistic nonlinear wave equation. Zbl 1024.35076
Bensoussan, Alain; Iliine, Cyrill; Komech, Alexander
2002
Stochastic games for $$N$$ players. Zbl 0977.91006
Bensoussan, A.; Frehse, J.
2000
...and 161 more Documents
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#### Cited by 4,761 Authors

 76 Bensoussan, Alain 29 Menaldi, Jose-Luis 29 Suslina, Tat’yana Aleksandrovna 27 Abdulle, Assyr 27 Lions, Pierre-Louis 26 Allaire, Grégoire 25 Sethi, Suresh P. 24 Frehse, Jens 22 Cui, Junzhi 22 Murat, François 22 Sango, Mamadou 22 Wu, Zhen 22 Yam, Sheung Chi Phillip 20 Cao, Liqun 19 Piatnitski, Andrey L. 18 Temam, Roger Meyer 17 Boccardo, Lucio 17 Donato, Patrizia 17 Razafimandimby, Paul André 16 Elliott, Robert James 16 Pham, Huyên 16 Raymond, Jean-Pierre 15 Le Bris, Claude 15 Legoll, Frédéric 15 Noor, Muhammad Aslam 15 Yong, Jiongmin 14 Kolpakov, Alexander G. 14 Morimoto, Hiroaki 13 Bayraktar, Erhan 13 Briane, Marc 13 Conca, Carlos 13 Deugoue, Gabriel 13 Flandoli, Franco 13 Meng, Qingxin 13 Pastukhova, Svetlana Evgenievna 13 Rodríguez-Ramos, Reinaldo 12 Borkar, Vivek Shripad 12 Ghosh, Mrinal Kanti 12 Gozzi, Fausto 12 Hu, Ying 12 Pardoux, Etienne 12 Peng, Shige 12 Robin, Maurice 12 Tachim Medjo, Theodore 12 Vanninathan, Muthusamy 12 Wang, Guangchen 11 Huang, Jianhui 11 Kunisch, Karl 11 Li, Qin 11 Marcozzi, Michael D. 11 Shen, Zhongwei 11 Xiong, Jie 10 Başar, Tamer 10 Bessaih, Hakima 10 Bravo-Castillero, Julián 10 Fabbri, Giorgio 10 Fuhrman, Marco 10 Hou, Thomas Yizhao 10 Laurière, Mathieu 10 Pavliotis, Grigorios A. 10 Spiliopoulos, Konstantinos V. 10 Teo, Kok Lay 10 Tessitore, Gianmario 10 Tucsnak, Marius 10 Visintin, Augusto 9 Auriault, Jean-Louis 9 Barbu, Viorel 9 Blanc, Xavier 9 Boulbrachene, Messaoud 9 Capuzzo Dolcetta, Italo 9 Cherednichenko, Kirill D. 9 Da Prato, Giuseppe 9 Djehiche, Boualem 9 Friedman, Avner 9 Glatt-Holtz, Nathan E. 9 Haiour, Mohamed 9 Huang, Nan-Jing 9 Lasiecka, Irena 9 Li, Xun 9 Qiu, Jinniao 9 Shi, Jingtao 9 Stettner, Łukasz 9 Tang, Shanjian 9 Tapiero, Charles S. 9 Wang, Song 9 Woźniak, Czesław 8 Arrieta, José M. 8 Badra, Mehdi 8 Bal, Guillaume 8 Breit, Dominic 8 Carmona, René A. 8 Charalambous, Charalambos D. 8 Dobrokhotov, Sergei Yurievich 8 Golse, François 8 Guinovart-Díaz, Raúl 8 Hata, Hiroaki 8 Hintermüller, Michael 8 Hoang, Viet Ha 8 Huang, Minyi 8 Jin, Zhuo ...and 4,661 more Authors
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#### Cited in 509 Serials

 163 Journal of Mathematical Analysis and Applications 126 Applied Mathematics and Optimization 105 Stochastic Processes and their Applications 95 Journal of Optimization Theory and Applications 94 Journal of Differential Equations 89 SIAM Journal on Control and Optimization 77 Computer Methods in Applied Mechanics and Engineering 74 Systems & Control Letters 73 Automatica 71 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 62 Stochastic Analysis and Applications 57 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 57 European Journal of Operational Research 50 Archive for Rational Mechanics and Analysis 48 International Journal of Engineering Science 45 Journal of Computational Physics 44 Journal of Computational and Applied Mathematics 43 Computers & Mathematics with Applications 41 Applied Mathematics and Computation 41 Journal de Mathématiques Pures et Appliquées. Neuvième Série 38 Comptes Rendus. Mathématique. Académie des Sciences, Paris 37 Multiscale Modeling & Simulation 36 Journal of Functional Analysis 36 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 36 Nonlinear Analysis. Theory, Methods & Applications 34 Journal of the Mechanics and Physics of Solids 34 The Annals of Applied Probability 33 Communications in Partial Differential Equations 33 SIAM Journal on Mathematical Analysis 30 Annali di Matematica Pura ed Applicata. Serie Quarta 30 Insurance Mathematics & Economics 30 Discrete and Continuous Dynamical Systems 29 The Annals of Probability 29 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 27 RAIRO. Modélisation Mathématique et Analyse Numérique 26 Journal of Economic Dynamics & Control 26 Calculus of Variations and Partial Differential Equations 25 Probability Theory and Related Fields 25 Journal of Mathematical Sciences (New York) 25 European Journal of Mechanics. A. Solids 24 Dynamic Games and Applications 22 NoDEA. Nonlinear Differential Equations and Applications 21 International Journal of Control 21 Journal of Statistical Physics 21 Stochastics 21 St. Petersburg Mathematical Journal 21 Abstract and Applied Analysis 20 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 20 Acta Applicandae Mathematicae 20 SIAM Journal on Applied Mathematics 20 Stochastics and Dynamics 19 International Journal of Systems Science 19 Mathematical Notes 19 Applied Mathematics Letters 19 Mathematical and Computer Modelling 19 MCSS. Mathematics of Control, Signals, and Systems 18 Applicable Analysis 18 Communications in Mathematical Physics 18 Journal of Mathematical Physics 18 Transactions of the American Mathematical Society 18 Annals of Operations Research 18 Mathematical Control and Related Fields 17 Acta Mechanica 17 Operations Research Letters 17 Physica D 17 Journal of Global Optimization 17 SIAM Journal on Scientific Computing 17 Mathematics and Mechanics of Solids 16 Journal of the Franklin Institute 16 Numerische Mathematik 16 Mathematical Problems in Engineering 16 Mathematical Methods of Operations Research 15 Mathematics of Computation 15 Nonlinear Analysis. Real World Applications 14 Wave Motion 14 Applications of Mathematics 14 Mathematical Finance 14 Stochastics 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Journal of Applied Mathematics and Mechanics 13 Mathematics of Operations Research 13 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 13 Journal of Evolution Equations 13 Stochastic and Partial Differential Equations. Analysis and Computations 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Chinese Annals of Mathematics. Series B 12 Applied Numerical Mathematics 12 Acta Mathematicae Applicatae Sinica. English Series 12 European Journal of Control 12 Journal of Industrial and Management Optimization 11 International Journal of Solids and Structures 11 Functional Analysis and its Applications 11 Numerical Functional Analysis and Optimization 11 SIAM Journal on Numerical Analysis 11 Journal of Elasticity 11 Finance and Stochastics 11 Journal of Systems Science and Complexity 10 Journal of Economic Theory 10 Manuscripta Mathematica 10 Mathematics and Computers in Simulation ...and 409 more Serials
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#### Cited in 49 Fields

 1,723 Partial differential equations (35-XX) 1,140 Probability theory and stochastic processes (60-XX) 1,024 Systems theory; control (93-XX) 954 Calculus of variations and optimal control; optimization (49-XX) 732 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 566 Mechanics of deformable solids (74-XX) 463 Numerical analysis (65-XX) 381 Fluid mechanics (76-XX) 370 Operations research, mathematical programming (90-XX) 198 Operator theory (47-XX) 157 Ordinary differential equations (34-XX) 132 Statistical mechanics, structure of matter (82-XX) 92 Dynamical systems and ergodic theory (37-XX) 84 Optics, electromagnetic theory (78-XX) 77 Biology and other natural sciences (92-XX) 61 Statistics (62-XX) 52 Classical thermodynamics, heat transfer (80-XX) 51 Functional analysis (46-XX) 48 Integral equations (45-XX) 31 Mechanics of particles and systems (70-XX) 31 Quantum theory (81-XX) 27 Global analysis, analysis on manifolds (58-XX) 27 Geophysics (86-XX) 20 Computer science (68-XX) 18 Potential theory (31-XX) 16 Real functions (26-XX) 15 Approximations and expansions (41-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Information and communication theory, circuits (94-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Measure and integration (28-XX) 9 General topology (54-XX) 6 Combinatorics (05-XX) 5 General and overarching topics; collections (00-XX) 5 Topological groups, Lie groups (22-XX) 5 Functions of a complex variable (30-XX) 5 Difference and functional equations (39-XX) 5 Convex and discrete geometry (52-XX) 5 Differential geometry (53-XX) 5 Astronomy and astrophysics (85-XX) 4 Mathematical logic and foundations (03-XX) 4 Nonassociative rings and algebras (17-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 2 Abstract harmonic analysis (43-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX)

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