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Author ID: bensoussan.alain Recent zbMATH articles by "Bensoussan, Alain"
Published as: Bensoussan, Alain; Bensoussan, A.
Homepage: http://www.cityu.edu.hk/seem/abensous/
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr
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Co-Authors

88 single-authored
58 Lions, Jacques-Louis
41 Frehse, Jens
40 Yam, Sheung Chi Phillip
29 Sethi, Suresh P.
16 Çakanyıldırım, Metin
13 Hoe, SingRu
13 Papanicolaou, George C.
9 Mertz, Laurent
8 Mitter, Sanjoy K.
8 Proth, Jean-Marie
7 Boccardo, Lucio
7 Crouhy, Michel G.
7 Turi, Janos
6 Menaldi, Jose-Luis
6 Tapiero, Charles S.
6 Yan, ZhongFeng
5 Blankenship, Gilmer L.
5 Galai, Dan
5 Huang, Ziyu
5 Nagai, Hideo
5 Temam, Roger Meyer
4 Aubin-Frankowski, Pierre-Cyril
4 Chau, Man Ho Michael
4 Chen, Shaokuan
4 Delfour, Michel Claude
4 Elliott, Robert James
4 Friedman, Avner
4 Glowinski, Roland
4 Kantarcioglu, Murat
4 Liu, Jingzhen
4 Murat, François
4 Rascanu, Aurel
4 Yiu, Ka Fai Cedric
3 Aubin, Jean-Pierre
3 Brouste, Alexandre
3 Da Prato, Giuseppe
3 Li, Meng
3 Li, Yiqun
3 Minjárez-Sosa, Jesus Adolfo
3 Peng, Shige
3 Shi, Ruixia
3 Siu, Chi Chung
3 Tang, Shanjian
3 Wong, Kwok Chuen
3 Wong, Tak Kwong
2 Baras, John S.
2 Benkherouf, Lakdere
2 Bertrand, Pierre Raphael
2 Borkar, Vivek Shripad
2 Breit, Dominic
2 Bulíček, Miroslav
2 Chevalier-Roignant, Benoît
2 Chow, Pao-Liu
2 Chutani, Anshuman
2 Delarue, François
2 Diltz, J. David
2 Djehiche, Boualem
2 Ekeland, Ivar
2 Goursat, Maurice
2 Grün, Christine
2 Julien, Hugues
2 Kim, Joohyun
2 Kleindorfer, Paul R.
2 Kokotovic, Petar V.
2 Koo, Hyeng Keun
2 Liu, John J.
2 Rivera, Alejandro
2 Royal, Andrew J.
2 Runggaldier, Wolfgang J.
2 Skaaning, Sonny
2 Song, Huaming
2 Sung, K. C. J.
2 Tai, Ho-Man
2 Tembine, Hamidou
2 Tran, Minh-Binh
2 Viot, Michel
2 Vogelgesang, Jens
2 Yam, Phillip S. C.
2 Yang, Hui
2 Yuan, Hongwei
2 Yuan, Jiguang
2 Yung, Siu Pang
1 Acharya, Subas
1 Ackermann, Juergen E.
1 Aggoun, Lakhdar
1 Ąkanyildirim, Metin
1 Anderson, Brian David Outram
1 Åström, Karl Johan
1 Balchen, Jens Glad
1 Barmish, B. Ross
1 Başar, Tamer
1 Blondel, Vincent D.
1 Bossavit, Alain
1 Bouleau, Nicolas
1 Brézis, Haïm
1 Bultez, Alain V.
1 Byrnes, Christopher Ian
1 Cadenillas, Abel
1 Caines, Peter Edwin
1 Cartiaux, F. B.
...and 107 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 Operations Research
6 Comptes Rendus de l’Académie des Sciences. Série I
5 Mathematical Finance
5 Discrete and Continuous Dynamical Systems. Series B
5 Communications in Information and Systems
5 SIAM Journal on Financial Mathematics
4 Stochastics
4 Chinese Annals of Mathematics. Series B
4 Acta Applicandae Mathematicae
4 Asymptotic Analysis
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Méthodes Mathématiques de l’Informatique
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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Studies in Mathematics and its 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 SIAM Journal on Numerical Analysis
2 Operations Research Letters
2 Annals of Operations Research
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 RAIRO. Automatique-Productique, Informatique Industrielle
2 Stochastics and Stochastics Reports
2 Journal of Convex Analysis
2 Applied Mathematical Finance
2 Finance and Stochastics
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
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 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 Physica D
1 Applied Numerical Mathematics
1 Computers & Operations Research
1 Journal of Economic Dynamics & Control
1 Mathematical and Computer Modelling
1 CWI Quarterly
1 Stochastic Hydrology and Hydraulics
1 Mathematica Bohemica
1 The Annals of Applied Probability
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 Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică
1 Philosophical Transactions of the Royal Society of London. Series A
1 Georgian Mathematical Journal
1 Obozrenie Prikladnoĭ i Promyshlennoĭ Matematiki
1 Discrete and Continuous Dynamical Systems
1 Dynamics of Continuous, Discrete and Impulsive Systems
1 European Journal of Control
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 AMRX. Applied Mathematics Research eXpress
...and 22 more Serials

Publications by Year

Citations contained in zbMATH Open

293 Publications have been cited 7,802 times in 6,316 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.
597
1978
Mean field games and mean field type control theory. Zbl 1287.93002
Bensoussan, Alain; Frehse, Jens; Yam, Phillip
352
2013
Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
280
2007
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
233
2011
Applications des inéquations variationnelles en contrôle stochastique. Zbl 0411.49002
Bensoussan, A.; Lions, J.-L.
204
1978
Equations stochastiques du type Navier-Stokes. Zbl 0265.60094
Bensoussan, A.; Temam, R.
198
1973
Applications of variational inequalities in stochastic control. Transl. from the French. Zbl 0478.49002
Bensoussan, Alain; Lions, Jacques-Louis
182
1982
Stochastic control of partially observable systems. Zbl 0776.93094
Bensoussan, Alain
180
1992
Representation and control of infinite dimensional systems. Volume I. Zbl 0781.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
137
1992
Contrôle impulsionnel et inéquations quasi variationnelles. Zbl 0491.93002
Bensoussan, A.; Lions, J. L.
136
1982
Stochastic Navier-Stokes equations. Zbl 0836.35115
Bensoussan, A.
133
1995
Boundary layers and homogenization of transport processes. Zbl 0408.60100
Bensoussan, Alain; Lions, Jacques L.; Papanicolaou, George C.
125
1979
Lectures on stochastic control. I: Variational methods in stochastic control. Zbl 0505.93078
Bensoussan, A.
118
1982
Perturbation methods in optimal control. Transl. from the French by C. Tomson. Zbl 0648.49001
Bensoussan, Alain
102
1988
On a nonlinear partial differential equation having natural growth terms and unbounded solution. Zbl 0696.35042
Bensoussan, A.; Boccardo, L.; Murat, F.
102
1988
Linear-quadratic mean field games. Zbl 1343.91010
Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P.; Yung, S. P.
98
2016
Nouvelle formulation de problèmes de contrôle impulsionnel et applications. Zbl 0266.49007
Bensoussan, Alain; Lions, Jacques-Louis
85
1973
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
81
2014
Stochastic control by functional analysis methods. Zbl 0474.93002
Bensoussan, Alain
80
1982
Contrôle impulsionnel et inéquations quasi-variationnelles stationnaires. Zbl 0264.49004
Bensoussan, Alain; Goursat, Maurice; Lions, Jacques-Louis
79
1973
On the theory of option pricing. Zbl 0554.90019
Bensoussan, A.
78
1984
Representation and control of infinite dimensional systems. Vol. 2. Zbl 0790.93016
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
76
1993
Maximum principle and dynamic programming approaches of the optimal control of partially observed diffusions. Zbl 0516.60072
Bensoussan, A.
73
1983
Stochastic maximum principle for distributed parameter systems. Zbl 0519.93042
Bensoussan, A.
73
1983
Regularity results for nonlinear elliptic systems and applications. Zbl 1055.35002
Bensoussan, Alain; Frehse, Jens
69
2002
The master equation in mean field theory. Zbl 1325.35232
Bensoussan, Alain; Frehse, Jens; Yam, Sheung Chi Phillip
64
2015
Filtrage optimal des systèmes linéaires. (Optimal filtering of linear systems). Zbl 0231.93022
Bensoussan, Alain
58
1971
Nouvelles méthodes en contrôle impulsionnel. Zbl 0339.93033
Bensoussan, A.; Lions, J. L.
57
1975
The maximum principle for global solutions of stochastic Stackelberg differential games. Zbl 1320.91042
Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P.
56
2015
Equations aux dérivées partielles stochastiques non linéaires. I. Zbl 0241.35009
Bensoussan, A.; Temam, R.
50
1972
Optimal control of partially observable stochastic systems with an exponential-of-integral performance index. Zbl 0574.93067
Bensoussan, A.; van Schuppen, J. H.
49
1985
Points de Nash dans le cas de fonctionnelles quadratiques et jeux différentiels linéaires à N personnes. Zbl 0254.90066
Bensoussan, A.
46
1974
Stochastic inertial manifold. Zbl 0854.60059
Bensoussan, Alain; Flandoli, Franco
46
1995
Optimal impulse and continuous control: Method of nonlinear quasi- variational inequalities. Zbl 0373.49004
Bensoussan, A.; Lions, J.-L.
44
1977
On the interpretation of the master equation. Zbl 1379.60063
Bensoussan, A.; Frehse, J.; Yam, S. C. P.
44
2017
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.
43
2006
Nonlinear variational inequalities and differential games with stopping times. Zbl 0297.90120
Bensoussan, Alain; Friedman, Avner
43
1974
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.
43
2014
Optimal impulse and continuous control: Method of nonlinear quasi- variational inequalities. Zbl 0324.49005
Bensoussan, A.; Lions, J. L.
42
1975
Some existence results for stochastic partial differential equations. Zbl 0793.60067
Bensoussan, A.
42
1992
Management applications of modern control theory. Zbl 0343.90001
Bensoussan, A.; Hurst, E. Gerald jun.; Näslund, B.
41
1974
Well-posedness of mean-field type forward-backward stochastic differential equations. Zbl 1327.60114
Bensoussan, A.; Yam, S. C. P.; Zhang, Z.
40
2015
Nonzero-sum stochastic differential games with stopping times and free boundary problems. Zbl 0368.93029
Bensoussan, Alain; Friedman, Avner
36
1977
On Bellman equations of ergodic control in \(\mathbb{R}{}^ n\). Zbl 0779.35038
Bensoussan, A.; Frehse, J.
35
1992
Mathematical theory of production planning. Zbl 0564.90010
Bensoussan, Alain; Crouhy, Michel; Proth, Jean-Marie
35
1983
Hybrid control and dynamic programming. Zbl 0897.49022
Bensoussan, A.; Menaldi, J. L.
34
1997
Mean field games with a dominating player. Zbl 1348.49031
Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P.
33
2016
Lectures on stochastic control. II: Discrete time stochastic control and approximation of continuous time stochastic control problems. Zbl 0505.93079
Bensoussan, A.
32
1982
Contrôle impulsionnel et inéquations quasi-variationnelles d’évolution. Zbl 0264.49005
Bensoussan, Alain; Lions, Jacques-Louis
32
1973
Approximation of some stochastic differential equations by the splitting up method. Zbl 0745.65089
Bensoussan, A.; Glowinski, R.; Rǎşcanu, A.
32
1992
Dynamic programming and inventory control. Zbl 1252.90001
Bensoussan, Alain
30
2011
Mean field Stackelberg games: aggregation of delayed instructions. Zbl 1320.91028
Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P.
29
2015
Stochastic games for \(N\) players. Zbl 0977.91006
Bensoussan, A.; Frehse, J.
27
2000
Stochastic variational inequalities in infinite dimensional spaces. Zbl 0887.60063
Bensoussan, Alain; Rascanu, Aurel
27
1997
Nonlinear elliptic systems in stochastic game theory. Zbl 0531.93052
Bensoussan, A.; Frehse, J.
27
1984
Approximation of the Zakai equation by the splitting up method. Zbl 0726.60040
Bensoussan, A.; Glowinski, R.; Rascanu, A.
26
1990
Asymptotic behaviour of the time dependent Norton-Hoff law in plasticity theory and \(H^ 1\) regularity. Zbl 0851.35079
Bensoussan, A.; Frehse, J.
25
1996
Survey on the state of systems and control. Zbl 1177.93001
Blondel, Vincent; Gevers, Michel; Lindquist, Anders
25
1995
Optimal consumption and portfolio decisions with partially observed real prices. Zbl 1168.91375
Bensoussan, Alain; Keppo, Jussi; Sethi, Suresh P.
25
2009
Impulsive control in management: Prospects and applications. Zbl 0465.90022
Bensoussan, A.; Tapiero, C. S.
23
1982
Regularity theory for systems of partial differential equations with Neumann boundary conditions. Zbl 1140.35407
Bensoussan, A.; Frehse, J.
22
2002
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.
21
2017
Dynamic observers as asymptotic limits of recursive filters: Special cases. Zbl 0658.93017
Baras, J. S.; Bensoussan, A.; James, M. R.
21
1988
Existence and uniqueness of solutions for Bertrand and Cournot mean field games. Zbl 1382.35141
Graber, P. Jameson; Bensoussan, Alain
21
2018
Problèmes de temps d’arret optimal et inéquations variationnelles paraboliques. Zbl 0341.60032
Bensoussan, A.; Lions, J. L.
20
1973
Mean-field-game model for botnet defense in cyber-security. Zbl 1372.49049
Kolokoltsov, V. N.; Bensoussan, A.
20
2016
Stochastic production planning with production constraints. Zbl 0561.90044
Bensoussan, A.; Sethi, S. P.; Vickson, R.; Derzko, N.
20
1984
Local solutions for stochastic Navier-Stokes equations. Zbl 0972.76021
Bensoussan, Alain; Frehse, Jens
20
2000
Optimality of an \((s,S)\) policy with compound Poisson and diffusion demands: a quasi-variational inequalities approach. Zbl 1194.93215
Benkherouf, Lakdere; Bensoussan, Alain
19
2009
\(H\) convergence for quasi-linear elliptic equations with quadratic growth. Zbl 0795.35008
Bensoussan, A.; Boccardo, L.; Murat, F.
18
1992
Unemployment risks and optimal retirement in an incomplete market. Zbl 1348.91247
Bensoussan, Alain; Jang, Bong-Gyu; Park, Seyoung
18
2016
Differential games with mixed leadership: The open-loop solution. Zbl 1198.91039
Başar, Tamer; Bensoussan, Alain; Sethi, Suresh P.
18
2010
Nonlinear systems of elliptic equations with natural growth conditions and sign conditions. Zbl 1077.35046
Bensoussan, Alain; Boccardo, Lucio
17
2002
Sur quelques phénomènes asymptotiques stationnaires. Zbl 0309.35007
Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, Georges
17
1975
Linear-quadratic time-inconsistent mean field games. Zbl 1314.91040
Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P.
17
2013
Difference equations on weighted graphs. Zbl 1068.05039
Bensoussan, Alain; Menaldi, José-Luis
16
2005
Smooth solutions of systems of quasilinear parabolic equations. Zbl 1078.35022
Bensoussan, Alain; Frehse, Jens
16
2002
Optimization of sensors’ location in a distributed filtering problem. Zbl 0287.93020
Bensoussan, Alain
16
1972
Control problem on space of random variables and master equation. Zbl 1450.35305
Bensoussan, Alain; Yam, Sheung Chi Phillip
16
2019
Optimal control of stochastic linear distributed parameter systems. Zbl 0276.93058
Bensoussan, A.; Viot, M.
15
1975
Systems of partial differential equations and stochastic control. Zbl 0548.35037
Bensoussan, A.
15
1981
Threshold-type policies for real options using regime-switching models. Zbl 1255.91444
Bensoussan, Alain; Yan, ZhongFeng; Yin, G.
15
2012
Applied stochastic control in econometrics and management science. Zbl 0435.00020
14
1980
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.
14
1986
Stochastic hybrid control. Zbl 0967.93097
Bensoussan, A.; Menaldi, J. L.
14
2000
Mean field control and mean field game models with several populations. Zbl 1406.35416
Bensoussan, Alain; Huang, Tao; Laurière, Mathieu
14
2018
A multiperiod newsvendor problem with partially observed demand. Zbl 1279.90008
Bensoussan, Alain; Çakanyıldırım, Metin; Sethi, Suresh P.
13
2007
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.
13
1975
Some results on risk-sensitive control with full observation. Zbl 0896.93035
Bensoussan, A.; Frehse, J.; Nagai, H.
13
1998
A paradox in time-consistency in the mean-variance problem? Zbl 1426.91240
Bensoussan, Alain; Wong, Kwok Chuen; Yam, Sheung Chi Phillip
13
2019
Degenerate Dirichlet problems related to the invariant measure of elasto-plastic oscillators. Zbl 1168.60029
Bensoussan, Alain; Turi, Janos
13
2008
Estimation and control of dynamical systems. Zbl 1401.37001
Bensoussan, Alain
13
2018
Sequential capacity expansion options. Zbl 1455.91268
Bensoussan, Alain; Chevalier-Roignant, Benoît
13
2019
Partially observed inventory systems: The case of zero-balance walk. Zbl 1190.90015
Bensoussan, Alain; Ąkanyildirim, Metin; Sethi, Suresh P.
12
2007
Singular perturbations and asymptotic analysis in control systems. Zbl 0605.00020
12
1987
Feedback Stackelberg solutions of infinite-horizon stochastic differential games. Zbl 1296.91063
Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P.
12
2014
A stochastic impulse control problem with quadratic growth Hamiltonian and the corresponding quasi variational inequality. Zbl 0474.49013
Bensoussan, A.; Frehse, J.; Mosco, U.
11
1982
Analysis and optimization of systems. (Proceedings of the 8th international conference organized by INRIA, June 8-10, 1988 in Antibes, France). Zbl 0668.00022
11
1988
Homogenization of a class of stochastic partial differential equations. Zbl 0737.60054
Bensoussan, A.
11
1991
Control on Hilbert spaces and application to some mean field type control problems. Zbl 07924326
Bensoussan, Alain; Graber, P. Jameson; Yam, Sheung Chi Phillip
1
2024
Value-gradient based formulation of optimal control problem and machine learning algorithm. Zbl 1523.49031
Bensoussan, Alain; Han, Jiayue; Yam, Sheung Chi Phillip; Zhou, Xiang
2
2023
Dynamic mean-variance problem with frictions. Zbl 1484.91414
Bensoussan, Alain; Ma, Guiyuan; Siu, Chi Chung; Yam, Sheung Chi Phillip
5
2022
Machine learning and control theory. Zbl 1493.68292
Bensoussan, Alain; Li, Yiqun; Dinh Phan Cao Nguyen; Minh-Binh Tran; Yam, Sheung Chi Phillip; Zhou, Xiang
3
2022
Control in Hilbert space and first-order mean field type problem. Zbl 1502.93005
Bensoussan, Alain; Cheung, Hang; Yam, Sheung Chi Phillip
2
2022
A risk extended version of Merton’s optimal consumption and portfolio selection. Zbl 1493.91110
Bensoussan, Alain; Hoe, SingRu (Celine); Kim, Joohyun; Yan, Zhongfeng
1
2022
Inter-temporal mutual-fund management. Zbl 1522.91208
Bensoussan, Alain; Cheung, Ka Chun; Li, Yiqun; Yam, Sheung Chi Phillip
1
2022
Linear-quadratic-Gaussian mean-field-game with partial observation and common noise. Zbl 1471.91026
Bensoussan, Alain; Feng, Xinwei; Huang, Jianhui
9
2021
Mathematical formulation of a dynamical system with dry friction subjected to external forces. Zbl 1506.70024
Bensoussan, A.; Brouste, A.; Cartiaux, F. B.; Mathey, C.; Mertz, L.
2
2021
Does performance-sensitive debt mitigate debt overhang? Zbl 1475.91394
Bensoussan, Alain; Chevalier-Roignant, Benoît; Rivera, Alejandro
2
2021
Mean field approach to stochastic control with partial information. Zbl 1476.93156
Bensoussan, Alain; Yam, Sheung Chi Phillip
2
2021
Mean field verification theorem. Zbl 1496.49019
Bensoussan, Alain; Hoe, SingRu (Celine); Kim, Joohyun; Yan, Zhongfeng
1
2021
Mean-field-type games with jump and regime switching. Zbl 1437.91050
Bensoussan, Alain; Djehiche, Boualem; Tembine, Hamidou; Yam, Sheung Chi Phillip
6
2020
Mean field games with parametrized followers. Zbl 1483.91031
Bensoussan, Alain; Cass, Thomas; Chau, Man Ho Michael; Yam, Sheung Chi Phillip
3
2020
Optimal periodic replenishment policies for spectrally positive Lévy demand processes. Zbl 1461.60032
Pérez, José-Luis; Yamazaki, Kazutoshi; Bensoussan, Alain
3
2020
Control problem on space of random variables and master equation. Zbl 1450.35305
Bensoussan, Alain; Yam, Sheung Chi Phillip
16
2019
A paradox in time-consistency in the mean-variance problem? Zbl 1426.91240
Bensoussan, Alain; Wong, Kwok Chuen; Yam, Sheung Chi Phillip
13
2019
Sequential capacity expansion options. Zbl 1455.91268
Bensoussan, Alain; Chevalier-Roignant, Benoît
13
2019
Feedback Stackelberg-Nash equilibria in mixed leadership games with an application to cooperative advertising. Zbl 1427.49045
Bensoussan, Alain; Chen, Shaokuan; Chutani, Anshuman; Sethi, Suresh P.; Siu, Chi Chung; Phillip Yam, Sheung Chi
8
2019
A mean-variance approach to capital investment optimization. Zbl 1411.91481
Bensoussan, Alain; Hoe, SingRu (Celine); Yan, Zhongfeng
2
2019
Existence and uniqueness of solutions for Bertrand and Cournot mean field games. Zbl 1382.35141
Graber, P. Jameson; Bensoussan, Alain
21
2018
Mean field control and mean field game models with several populations. Zbl 1406.35416
Bensoussan, Alain; Huang, Tao; Laurière, Mathieu
14
2018
Estimation and control of dynamical systems. Zbl 1401.37001
Bensoussan, Alain
13
2018
Ergodic control for a mean reverting inventory model. Zbl 1412.35187
Liu, Jingzhen; Yiu, Ka Fai Cedric; Bensoussan, Alain
4
2018
Backward stochastic dynamics with a subdifferential operator and non-local parabolic variational inequalities. Zbl 1381.37063
Bensoussan, Alain; Li, Yiqun; Yam, Sheung Chi Phillip
3
2018
Optimal inventory control with jump diffusion and nonlinear dynamics in the demand. Zbl 1378.35176
Liu, Jingzhen; Cedric Yiu, Ka Fai; Bensoussan, Alain
2
2018
On the interpretation of the master equation. Zbl 1379.60063
Bensoussan, A.; Frehse, J.; Yam, S. C. P.
44
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.
21
2017
Real options with competition and regime switching. Zbl 1414.91403
Bensoussan, Alain; Hoe, Singru; Yan, Zhongfeng; Yin, George
8
2017
Optimality of \((s,S)\) policies with nonlinear processes. Zbl 1360.90016
Liu, Jingzhen; Yiu, Ka Fai Cedric; Bensoussan, Alain
3
2017
Base stock list price policy in continuous time. Zbl 1360.93767
Bensoussan, Alain; Skaaning, Sonny
1
2017
Linear-quadratic mean field games. Zbl 1343.91010
Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P.; Yung, S. P.
98
2016
Mean field games with a dominating player. Zbl 1348.49031
Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P.
33
2016
Mean-field-game model for botnet defense in cyber-security. Zbl 1372.49049
Kolokoltsov, V. N.; Bensoussan, A.
20
2016
Unemployment risks and optimal retirement in an incomplete market. Zbl 1348.91247
Bensoussan, Alain; Jang, Bong-Gyu; Park, Seyoung
18
2016
Parabolic Bellman-systems with mean field dependence. Zbl 1342.35054
Bensoussan, Alain; Breit, Dominic; Frehse, Jens
4
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.
3
2016
The optimal mean variance problem with inflation. Zbl 1327.90362
Liu, Jingzhen; Yiu, Ka Fai Cedric; Bensoussan, Alain
2
2016
Preface: In memory of A. V. Balakrishnan. Zbl 1341.01041
1
2016
The master equation in mean field theory. Zbl 1325.35232
Bensoussan, Alain; Frehse, Jens; Yam, Sheung Chi Phillip
64
2015
The maximum principle for global solutions of stochastic Stackelberg differential games. Zbl 1320.91042
Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P.
56
2015
Well-posedness of mean-field type forward-backward stochastic differential equations. Zbl 1327.60114
Bensoussan, A.; Yam, S. C. P.; Zhang, Z.
40
2015
Mean field Stackelberg games: aggregation of delayed instructions. Zbl 1320.91028
Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P.
29
2015
Entrepreneurial decisions on effort and project with a nonconcave objective function. Zbl 1329.90071
Bensoussan, Alain; Cadenillas, Abel; Koo, Hyeng Keun
5
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
3
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
3
2015
Future perspectives in risk models and finance. Zbl 1304.91010
1
2015
Technical note: Managing nonperishable inventories with learning about demand arrival rate through stockout times. Zbl 1327.90005
Bensoussan, Alain; Guo, Pengfei
1
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
81
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.
43
2014
Feedback Stackelberg solutions of infinite-horizon stochastic differential games. Zbl 1296.91063
Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P.
12
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
4
2014
Mean-variance pre-commitment policies revisited via a mean-field technique. Zbl 1314.91189
Bensoussan, A.; Wong, K. C.; Yam, S. C. P.
3
2014
Stochastic differential games with a varying number of players. Zbl 1307.91032
Bensoussan, Alain; Frehse, Jens; Grün, Christine
2
2014
A generalized linear model approach to seasonal aspects of wind speed modeling. Zbl 1514.62439
Bensoussan, Alain; Bertrand, Pierre; Brouste, Alexandre
2
2014
Control and Nash games with mean field effect. Zbl 1331.49036
Bensoussan, Alain; Frehse, Jens
1
2014
Mean field games and mean field type control theory. Zbl 1287.93002
Bensoussan, Alain; Frehse, Jens; Yam, Phillip
352
2013
Linear-quadratic time-inconsistent mean field games. Zbl 1314.91040
Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P.
17
2013
Control and Nash games with mean field effect. Zbl 1264.49028
Bensoussan, Alain; Frehse, Jens
10
2013
Linear quadratic differential games with mixed leadership: the open-loop solution. Zbl 1262.91010
Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P.
7
2013
Real options, ambiguity, risk and insurance. Zbl 1272.91002
6
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
3
2013
Optimal inventory control with shrinkage and observed sales. Zbl 1302.90009
Bensoussan, Alain; Çakanyıldırım, Metin; Li, Meng; Sethi, Suresh P.
2
2013
Threshold-type policies for real options using regime-switching models. Zbl 1255.91444
Bensoussan, Alain; Yan, ZhongFeng; Yin, G.
15
2012
Impulse control with random reaction periods: a central bank intervention problem. Zbl 1258.90030
Bensoussan, Alain; Long, Hongwei; Perera, Sandun; Sethi, Suresh
10
2012
An analytic approach to the ergodic theory of a stochastic variational inequality. Zbl 1248.60078
Bensoussan, Alain; Mertz, Laurent
5
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.
5
2012
Existence and compactness for weak solutions to Bellman systems with critical growth. Zbl 1255.35106
Bensoussan, Alain; Bulíček, Miroslav; Frehse, Jens
4
2012
Nash and Stackelberg differential games. Zbl 1254.91051
Bensoussan, Alain; Frehse, Jens; Vogelgesang, Jens
2
2012
Asymptotic analysis of stochastic variational inequalities modeling an elasto-plastic problem with vanishing jumps. Zbl 1261.60067
Bensoussan, Alain; Jasso-Fuentes, Héctor; Menozzi, Stéphane; Mertz, Laurent
1
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
233
2011
Dynamic programming and inventory control. Zbl 1252.90001
Bensoussan, Alain
30
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.
1
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
1
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
1
2011
Differential games with mixed leadership: The open-loop solution. Zbl 1198.91039
Başar, Tamer; Bensoussan, Alain; Sethi, Suresh P.
18
2010
Systems of Bellman equations to stochastic differential games with non-compact coupling. Zbl 1191.35275
Bensoussan, Alain; Frehse, Jens; Vogelgesang, Jens
8
2010
Real options games in complete and incomplete markets with several decision makers. Zbl 1203.91319
Bensoussan, Alain; Diltz, J. David; Hoe, SingRu
6
2010
Inventory control with an order-time constraint: optimality, uniqueness and significance. Zbl 1229.90007
Bensoussan, Alain; Moussawi-Haidar, Lama; Çakanyıldırım, Metin
5
2010
On a class of partial differential equations with nonlocal Dirichlet boundary conditions. Zbl 1195.35107
Bensoussan, Alain; Turi, Janos
5
2010
Singular control and impulse control: a common approach. Zbl 1181.49033
Bensoussan, Alain; Liu, John; Yuan, Jiguang
4
2010
A game-theoretical approach for finding optimal strategies in a botnet defense model. Zbl 1298.91058
Bensoussan, Alain; Kantarcioglu, Murat; Hoe, SingRu (Celine)
4
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.
3
2010
Optimal control of variational inequalities. Zbl 1214.49008
Bensoussan, Alain; Chandrasekaran, Keerthi; Turi, Janos
1
2010
When do firms invest in privacy-preserving technologies? Zbl 1298.91064
Kantarcioglu, Murat; Bensoussan, Alain; Hoe, SingRu (Celine)
1
2010
Optimal consumption and portfolio decisions with partially observed real prices. Zbl 1168.91375
Bensoussan, Alain; Keppo, Jussi; Sethi, Suresh P.
25
2009
Optimality of an \((s,S)\) policy with compound Poisson and diffusion demands: a quasi-variational inequalities approach. Zbl 1194.93215
Benkherouf, Lakdere; Bensoussan, Alain
19
2009
Optimal cash management under uncertainty. Zbl 1182.91189
Bensoussan, Alain; Chutani, Anshuman; Sethi, Suresh P.
10
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
8
2009
On diagonal elliptic and parabolic systems with super-quadratic Hamiltonians. Zbl 1152.35361
Bensoussan, Alain; Frehse, Jens
8
2009
Handbook of numerical analysis. Vol XV. Special Volume: Mathematical modeling and numerical methods in finance. Zbl 1162.65002
8
2009
A note on “The censored newsvendor and the optimal acquisition of information”. Zbl 1233.90010
Bensoussan, Alain; Çakanyıldırım, Metin; Sethi, Suresh P.
4
2009
Bayesian and adaptive controls for a newsvendor facing exponential demand. Zbl 1513.90002
Bensoussan, Alain; Çakanyıldırım, Metin; Royal, Andrew; Sethi, Suresh P.
3
2009
Censored newsvendor model revisited with unnormalized probabilities. Zbl 1185.93123
Bensoussan, Alain; Çakanyildirim, Metin; Sethi, Suresh P.
3
2009
Diagonal elliptic Bellman systems for stochastic differential games with discount control and noncompact coupling. Zbl 1196.35082
Bensoussan, Alain; Frehse, Jens
3
2009
Degenerate Dirichlet problems related to the invariant measure of elasto-plastic oscillators. Zbl 1168.60029
Bensoussan, Alain; Turi, Janos
13
2008
Systems of Bellman equations to stochastic differential games with discount control. Zbl 1190.49045
Bensoussan, Alain; Frehse, Jens
5
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
5
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.
3
2008
Impulse control in discrete time. Zbl 1151.49029
Bensoussan, Alain
1
2008
...and 193 more Documents
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Cited by 6,816 Authors

91 Bensoussan, Alain
45 Cui, Junzhi
45 Wu, Zhen
43 Suslina, Tat’yana Aleksandrovna
33 Menaldi, Jose-Luis
32 Abdulle, Assyr
31 Yam, Sheung Chi Phillip
30 Allaire, Grégoire
28 Sethi, Suresh P.
27 Gozzi, Fausto
27 Lions, Pierre-Louis
27 Pastukhova, Svetlana Evgenievna
25 Cao, Liqun
25 Frehse, Jens
25 Laurière, Mathieu
24 Raymond, Jean-Pierre
24 Tachim Medjo, Theodore
23 Huang, Jianhui
23 Noor, Muhammad Aslam
23 Xiong, Jie
22 Le Bris, Claude
22 Murat, François
22 Pham, Huyên
22 Sango, Mamadou
21 Donato, Patrizia
21 Piatnitski, Andrey L.
21 Rodríguez-Ramos, Reinaldo
21 Shi, Jingtao
21 Temam, Roger Meyer
21 Yong, Jiongmin
20 Deugoue, Gabriel
20 Legoll, Frédéric
20 Meng, Qingxin
19 Kunisch, Karl
18 Bayraktar, Erhan
18 Tang, Shanjian
18 Wang, Guangchen
17 Boccardo, Lucio
17 Carmona, René A.
17 Dong, Hao
17 Hu, Ying
17 Kolpakov, Alexander G.
17 Razafimandimby, Paul André
17 Wang, Bingchang
17 Yang, Zhiqiang
16 Andrianov, Igor Vasil’evich
16 Boulaaras, Salah Mahmoud
16 Conca, Carlos
15 Bravo-Castillero, Julián
15 Briane, Marc
15 Elliott, Robert James
15 Haiour, Mohamed
15 Huang, Nan-Jing
15 Ma, Qiang
15 Morimoto, Hiroaki
15 Penta, Raimondo
15 Vanninathan, Muthusamy
15 Yang, Zihao
14 Başar, Tamer
14 Bessaih, Hakima
14 Cardaliaguet, Pierre
14 De Angelis, Tiziano
14 Fish, Jacob
14 Ghosh, Mrinal Kanti
14 Hintermüller, Michael
14 Pavliotis, Grigorios A.
14 Robin, Maurice
14 Zhang, Huanshui
13 Ferrari, Giorgio
13 Flandoli, Franco
13 Jin, Zhuo
13 Kalamkarov, Alexander L.
13 Li, Xun
13 Pardoux, Etienne
13 Rautenberg, Carlos N.
13 Spiliopoulos, Konstantinos V.
13 Stuart, Andrew M.
13 Sun, Jingrui
13 Takahashi, Takéo
13 Tucsnak, Marius
13 Wang, Song
12 Borkar, Vivek Shripad
12 Cherednichenko, Kirill D.
12 Cirant, Marco
12 Delarue, François
12 Fabbri, Giorgio
12 Federico, Salvatore
12 Guinovart-Díaz, Raúl
12 Hoang, Viet Ha
12 Huang, Minyi
12 Lasiecka, Irena
12 Li, Qin
12 Marchi, Claudio
12 Marcozzi, Michael D.
12 Moireau, Philippe
12 Øksendal, Bernt Karsten
12 Siu, Tak Kuen
12 Stettner, Łukasz
12 Teo, Kok Lay
11 Aksikas, Ilyasse
...and 6,716 more Authors
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Cited in 620 Serials

196 Journal of Mathematical Analysis and Applications
181 Applied Mathematics and Optimization
157 SIAM Journal on Control and Optimization
153 Computer Methods in Applied Mechanics and Engineering
143 Journal of Differential Equations
120 Stochastic Processes and their Applications
115 Journal of Optimization Theory and Applications
111 Automatica
111 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
91 Systems & Control Letters
74 European Journal of Operational Research
72 Multiscale Modeling & Simulation
70 Stochastic Analysis and Applications
67 Journal of Computational Physics
67 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
60 Journal of Computational and Applied Mathematics
59 Archive for Rational Mechanics and Analysis
57 Computers & Mathematics with Applications
57 International Journal of Engineering Science
55 The Annals of Applied Probability
55 SIAM Journal on Mathematical Analysis
50 Journal de Mathématiques Pures et Appliquées. Neuvième Série
49 Journal of Functional Analysis
48 Applied Mathematics and Computation
46 Mathematical Methods in the Applied Sciences
44 Discrete and Continuous Dynamical Systems
43 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
42 International Journal of Control
42 Journal of the Mechanics and Physics of Solids
42 European Journal of Mechanics. A. Solids
41 Journal of Mathematical Sciences (New York)
41 Comptes Rendus. Mathématique. Académie des Sciences, Paris
41 Mathematical Control and Related Fields
40 Insurance Mathematics & Economics
39 Annali di Matematica Pura ed Applicata. Serie Quarta
39 Dynamic Games and Applications
37 Applicable Analysis
37 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
37 Communications in Partial Differential Equations
36 International Journal for Numerical Methods in Engineering
36 Calculus of Variations and Partial Differential Equations
36 Nonlinear Analysis. Theory, Methods & Applications
35 SIAM Journal on Applied Mathematics
34 The Annals of Probability
31 Annals of Operations Research
31 NoDEA. Nonlinear Differential Equations and Applications
30 Journal of Economic Dynamics & Control
30 Journal of Industrial and Management Optimization
29 Journal of Statistical Physics
28 St. Petersburg Mathematical Journal
28 Mathematical Finance
27 Journal of Mathematical Physics
27 Transactions of the American Mathematical Society
27 RAIRO. Modélisation Mathématique et Analyse Numérique
27 Probability Theory and Related Fields
27 MCSS. Mathematics of Control, Signals, and Systems
26 Computational Mechanics
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26 Stochastics and Dynamics
25 Acta Mechanica
25 Abstract and Applied Analysis
25 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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24 Discrete and Continuous Dynamical Systems. Series B
23 Journal of the Franklin Institute
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23 Acta Applicandae Mathematicae
22 Communications in Mathematical Physics
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22 SIAM Journal on Scientific Computing
22 Stochastics
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21 Physica D
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21 Mathematical Problems in Engineering
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21 Nonlinear Analysis. Real World Applications
21 Journal of Evolution Equations
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21 Evolution Equations and Control Theory
20 Mathematical Notes
20 Wave Motion
20 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
20 SIAM Journal on Numerical Analysis
20 Optimal Control Applications & Methods
20 Operations Research Letters
20 Applied Numerical Mathematics
20 Journal of Scientific Computing
20 European Journal of Control
20 Communications on Pure and Applied Analysis
19 International Journal of Systems Science
19 Asymptotic Analysis
19 Applied Mathematical Modelling
18 Mathematics of Computation
18 Numerische Mathematik
18 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
17 Nonlinearity
17 ZAMP. Zeitschrift für angewandte Mathematik und Physik
17 Optimization
17 Applications of Mathematics
...and 520 more Serials
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Cited in 53 Fields

2,601 Partial differential equations (35-XX)
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1,443 Calculus of variations and optimal control; optimization (49-XX)
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784 Numerical analysis (65-XX)
595 Fluid mechanics (76-XX)
487 Operations research, mathematical programming (90-XX)
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238 Ordinary differential equations (34-XX)
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131 Biology and other natural sciences (92-XX)
119 Optics, electromagnetic theory (78-XX)
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