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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
38 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 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 Huang, Ziyu
3 Li, Meng
3 Li, Yiqun
3 Minjárez-Sosa, J. Adolfo
3 Peng, Shige
3 Shi, Ruixia
3 Siu, Chi Chung
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 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 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.
1 Cass, Thomas Richard
1 Chandrasekaran, Keerthi
1 Chandrasekharan, Keerthi
...and 106 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 Operations Research
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 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 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
1 Communications in Mathematical Sciences
1 Rendiconti di Matematica, VI. Serie
...and 19 more Serials

Publications by Year

Citations contained in zbMATH Open

277 Publications have been cited 6,301 times in 5,066 Documents Cited by Year
Asymptotic analysis for periodic structures. Zbl 0404.35001
Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, George
908
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.
581
1978
Mean field games and mean field type control theory. Zbl 1287.93002
Bensoussan, Alain; Frehse, Jens; Yam, Phillip
293
2013
Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
196
2007
Applications des inéquations variationnelles en contrôle stochastique. Zbl 0411.49002
Bensoussan, A.; Lions, J.-L.
180
1978
Equations stochastiques du type Navier-Stokes. Zbl 0265.60094
Bensoussan, A.; Temam, R.
179
1973
Stochastic control of partially observable systems. Zbl 0776.93094
Bensoussan, Alain
150
1992
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
127
2011
Contrôle impulsionnel et inéquations quasi variationnelles. Zbl 0491.93002
Bensoussan, A.; Lions, J. L.
120
1982
Stochastic Navier-Stokes equations. Zbl 0836.35115
Bensoussan, A.
114
1995
Lectures on stochastic control. I: Variational methods in stochastic control. Zbl 0505.93078
Bensoussan, A.
111
1982
Boundary layers and homogenization of transport processes. Zbl 0408.60100
Bensoussan, Alain; Lions, Jacques L.; Papanicolaou, George C.
108
1979
Applications of variational inequalities in stochastic control. Transl. from the French. Zbl 0478.49002
Bensoussan, Alain; Lions, Jacques-Louis
98
1982
On a nonlinear partial differential equation having natural growth terms and unbounded solution. Zbl 0696.35042
Bensoussan, A.; Boccardo, L.; Murat, F.
86
1988
Representation and control of infinite dimensional systems. Volume I. Zbl 0781.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
82
1992
Linear-quadratic mean field games. Zbl 1343.91010
Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P.; Yung, S. P.
82
2016
Stochastic control by functional analysis methods. Zbl 0474.93002
Bensoussan, Alain
76
1982
Nouvelle formulation de problèmes de contrôle impulsionnel et applications. Zbl 0266.49007
Bensoussan, Alain; Lions, Jacques-Louis
76
1973
On the theory of option pricing. Zbl 0554.90019
Bensoussan, A.
73
1984
Contrôle impulsionnel et inéquations quasi-variationnelles stationnaires. Zbl 0264.49004
Bensoussan, Alain; Goursat, Maurice; Lions, Jacques-Louis
69
1973
Maximum principle and dynamic programming approaches of the optimal control of partially observed diffusions. Zbl 0516.60072
Bensoussan, A.
63
1983
Perturbation methods in optimal control. Transl. from the French by C. Tomson. Zbl 0648.49001
Bensoussan, Alain
61
1988
Stochastic maximum principle for distributed parameter systems. Zbl 0519.93042
Bensoussan, A.
60
1983
Regularity results for nonlinear elliptic systems and applications. Zbl 1055.35002
Bensoussan, Alain; Frehse, Jens
59
2002
Nouvelles méthodes en contrôle impulsionnel. Zbl 0339.93033
Bensoussan, A.; Lions, J. L.
55
1975
The master equation in mean field theory. Zbl 1325.35232
Bensoussan, Alain; Frehse, Jens; Yam, Sheung Chi Phillip
53
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
52
2014
Equations aux dérivées partielles stochastiques non linéaires. I. Zbl 0241.35009
Bensoussan, A.; Temam, R.
47
1972
Points de Nash dans le cas de fonctionnelles quadratiques et jeux différentiels linéaires à N personnes. Zbl 0254.90066
Bensoussan, A.
47
1974
Filtrage optimal des systèmes linéaires. (Optimal filtering of linear systems). Zbl 0231.93022
Bensoussan, Alain
45
1971
Optimal impulse and continuous control: Method of nonlinear quasi- variational inequalities. Zbl 0373.49004
Bensoussan, A.; Lions, J.-L.
44
1977
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.
42
2006
Optimal control of partially observable stochastic systems with an exponential-of-integral performance index. Zbl 0574.93067
Bensoussan, A.; van Schuppen, J. H.
41
1985
Optimal impulse and continuous control: Method of nonlinear quasi- variational inequalities. Zbl 0324.49005
Bensoussan, A.; Lions, J. L.
41
1975
Nonlinear variational inequalities and differential games with stopping times. Zbl 0297.90120
Bensoussan, Alain; Friedman, Avner
40
1974
Management applications of modern control theory. Zbl 0343.90001
Bensoussan, A.; Hurst, E. Gerald jun.; Näslund, B.
40
1974
The maximum principle for global solutions of stochastic Stackelberg differential games. Zbl 1320.91042
Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P.
40
2015
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.
39
2014
On the interpretation of the master equation. Zbl 1379.60063
Bensoussan, A.; Frehse, J.; Yam, S. C. P.
39
2017
Representation and control of infinite dimensional systems. Vol. 2. Zbl 0790.93016
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
38
1993
Stochastic inertial manifold. Zbl 0854.60059
Bensoussan, Alain; Flandoli, Franco
37
1995
Some existence results for stochastic partial differential equations. Zbl 0793.60067
Bensoussan, A.
36
1992
Nonzero-sum stochastic differential games with stopping times and free boundary problems. Zbl 0368.93029
Bensoussan, Alain; Friedman, Avner
35
1977
On Bellman equations of ergodic control in \(\mathbb{R}{}^ n\). Zbl 0779.35038
Bensoussan, A.; Frehse, J.
33
1992
Hybrid control and dynamic programming. Zbl 0897.49022
Bensoussan, A.; Menaldi, J. L.
32
1997
Mean field games with a dominating player. Zbl 1348.49031
Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P.
31
2016
Mathematical theory of production planning. Zbl 0564.90010
Bensoussan, Alain; Crouhy, Michel; Proth, Jean-Marie
30
1983
Well-posedness of mean-field type forward-backward stochastic differential equations. Zbl 1327.60114
Bensoussan, A.; Yam, S. C. P.; Zhang, Z.
30
2015
Approximation of some stochastic differential equations by the splitting up method. Zbl 0745.65089
Bensoussan, A.; Glowinski, R.; Rǎşcanu, A.
29
1992
Nonlinear elliptic systems in stochastic game theory. Zbl 0531.93052
Bensoussan, A.; Frehse, J.
26
1984
Stochastic games for \(N\) players. Zbl 0977.91006
Bensoussan, A.; Frehse, J.
26
2000
Contrôle impulsionnel et inéquations quasi-variationnelles d’évolution. Zbl 0264.49005
Bensoussan, Alain; Lions, Jacques-Louis
26
1973
Mean field Stackelberg games: aggregation of delayed instructions. Zbl 1320.91028
Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P.
26
2015
Stochastic variational inequalities in infinite dimensional spaces. Zbl 0887.60063
Bensoussan, Alain; Rascanu, Aurel
24
1997
Dynamic programming and inventory control. Zbl 1252.90001
Bensoussan, Alain
24
2011
Asymptotic behaviour of the time dependent Norton-Hoff law in plasticity theory and \(H^ 1\) regularity. Zbl 0851.35079
Bensoussan, A.; Frehse, J.
23
1996
Impulsive control in management: Prospects and applications. Zbl 0465.90022
Bensoussan, A.; Tapiero, C. S.
22
1982
Regularity theory for systems of partial differential equations with Neumann boundary conditions. Zbl 1140.35407
Bensoussan, A.; Frehse, J.
21
2002
Optimal consumption and portfolio decisions with partially observed real prices. Zbl 1168.91375
Bensoussan, Alain; Keppo, Jussi; Sethi, Suresh P.
21
2009
Survey on the state of systems and control. Zbl 1177.93001
Blondel, Vincent; Gevers, Michel; Lindquist, Anders
21
1995
Problèmes de temps d’arret optimal et inéquations variationnelles paraboliques. Zbl 0341.60032
Bensoussan, A.; Lions, J. L.
21
1973
Approximation of the Zakai equation by the splitting up method. Zbl 0726.60040
Bensoussan, A.; Glowinski, R.; Rascanu, A.
20
1990
Stochastic production planning with production constraints. Zbl 0561.90044
Bensoussan, A.; Sethi, S. P.; Vickson, R.; Derzko, N.
19
1984
Existence and uniqueness of solutions for Bertrand and Cournot mean field games. Zbl 1382.35141
Graber, P. Jameson; Bensoussan, Alain
19
2018
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
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.
19
2017
Dynamic observers as asymptotic limits of recursive filters: Special cases. Zbl 0658.93017
Baras, J. S.; Bensoussan, A.; James, M. R.
18
1988
\(H\) convergence for quasi-linear elliptic equations with quadratic growth. Zbl 0795.35008
Bensoussan, A.; Boccardo, L.; Murat, F.
17
1992
Local solutions for stochastic Navier-Stokes equations. Zbl 0972.76021
Bensoussan, Alain; Frehse, Jens
16
2000
Differential games with mixed leadership: The open-loop solution. Zbl 1198.91039
Başar, Tamer; Bensoussan, Alain; Sethi, Suresh P.
16
2010
Nonlinear systems of elliptic equations with natural growth conditions and sign conditions. Zbl 1077.35046
Bensoussan, Alain; Boccardo, Lucio
16
2002
Unemployment risks and optimal retirement in an incomplete market. Zbl 1348.91247
Bensoussan, Alain; Jang, Bong-Gyu; Park, Seyoung
16
2016
Difference equations on weighted graphs. Zbl 1068.05039
Bensoussan, Alain; Menaldi, José-Luis
15
2005
Sur quelques phénomènes asymptotiques stationnaires. Zbl 0309.35007
Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, Georges
15
1975
Smooth solutions of systems of quasilinear parabolic equations. Zbl 1078.35022
Bensoussan, Alain; Frehse, Jens
15
2002
Linear-quadratic time-inconsistent mean field games. Zbl 1314.91040
Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P.
14
2013
Systems of partial differential equations and stochastic control. Zbl 0548.35037
Bensoussan, A.
14
1981
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
Some results on risk-sensitive control with full observation. Zbl 0896.93035
Bensoussan, A.; Frehse, J.; Nagai, H.
13
1998
Stochastic hybrid control. Zbl 0967.93097
Bensoussan, A.; Menaldi, J. L.
13
2000
Optimal control of stochastic linear distributed parameter systems. Zbl 0276.93058
Bensoussan, A.; Viot, M.
13
1975
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
A multiperiod newsvendor problem with partially observed demand. Zbl 1279.90008
Bensoussan, Alain; Çakanyıldırım, Metin; Sethi, Suresh P.
12
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.
12
1975
Threshold-type policies for real options using regime-switching models. Zbl 1255.91444
Bensoussan, Alain; Yan, ZhongFeng; Yin, G.
12
2012
Partially observed inventory systems: The case of zero-balance walk. Zbl 1190.90015
Bensoussan, Alain; Ąkanyildirim, Metin; Sethi, Suresh P.
12
2007
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
Asymptotic behaviour of Norton-Hoff’s law in plasticity theory and \(H^ 1\) regularity. Zbl 0831.35047
Bensoussan, A.; Frehse, J.
11
1993
Control and Nash games with mean field effect. Zbl 1264.49028
Bensoussan, Alain; Frehse, Jens
11
2013
Homogenization of a class of stochastic partial differential equations. Zbl 0737.60054
Bensoussan, A.
10
1991
A finite-dimensional risk-sensitive control problem. Zbl 0841.93081
Bensoussan, Alain; Elliott, Robert J.
10
1995
Optimal cash management under uncertainty. Zbl 1182.91189
Bensoussan, Alain; Chutani, Anshuman; Sethi, Suresh P.
10
2009
Degenerate Dirichlet problems related to the invariant measure of elasto-plastic oscillators. Zbl 1168.60029
Bensoussan, Alain; Turi, Janos
10
2008
Mean-field-game model for botnet defense in cyber-security. Zbl 1372.49049
Kolokoltsov, V. N.; Bensoussan, A.
10
2016
Singular perturbations in stochastic control. Zbl 0622.93076
Bensoussan, A.; Blankenship, G. L.
9
1987
On the Hamilton-Jacobi approach for the optimal control of diffusion processes with jumps. Zbl 0446.93052
Bensoussan, A.
9
1978
Nonlinear filtering with homogenization. Zbl 0563.93065
Bensoussan, A.; Blankenship, G. L.
9
1986
Attainable claims in a Markov market. Zbl 0866.90030
Bensoussan, Alain; Elliott, Robert J.
9
1995
Optimal sensor scheduling in nonlinear filtering of diffusion processes. Zbl 0683.49001
Baras, John S.; Bensoussan, Alain
9
1989
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
2
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
1
2022
Linear-quadratic-Gaussian mean-field-game with partial observation and common noise. Zbl 1471.91026
Bensoussan, Alain; Feng, Xinwei; Huang, Jianhui
4
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
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.
1
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
2
2020
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
Control problem on space of random variables and master equation. Zbl 1450.35305
Bensoussan, Alain; Yam, Sheung Chi Phillip
9
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
4
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
19
2018
Mean field control and mean field game models with several populations. Zbl 1406.35416
Bensoussan, Alain; Huang, Tao; Laurière, Mathieu
9
2018
Estimation and control of dynamical systems. Zbl 1401.37001
Bensoussan, Alain
8
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
2
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
Ergodic control for a mean reverting inventory model. Zbl 1412.35187
Liu, Jingzhen; Yiu, Ka Fai Cedric; Bensoussan, Alain
1
2018
On the interpretation of the master equation. Zbl 1379.60063
Bensoussan, A.; Frehse, J.; Yam, S. C. P.
39
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.
19
2017
Real options with competition and regime switching. Zbl 1414.91403
Bensoussan, Alain; Hoe, Singru; Yan, Zhongfeng; Yin, George
6
2017
Optimality of \((s,S)\) policies with nonlinear processes. Zbl 1360.90016
Liu, Jingzhen; Yiu, Ka Fai Cedric; Bensoussan, Alain
2
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.
82
2016
Mean field games with a dominating player. Zbl 1348.49031
Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P.
31
2016
Unemployment risks and optimal retirement in an incomplete market. Zbl 1348.91247
Bensoussan, Alain; Jang, Bong-Gyu; Park, Seyoung
16
2016
Mean-field-game model for botnet defense in cyber-security. Zbl 1372.49049
Kolokoltsov, V. N.; Bensoussan, A.
10
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
1
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
53
2015
The maximum principle for global solutions of stochastic Stackelberg differential games. Zbl 1320.91042
Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P.
40
2015
Well-posedness of mean-field type forward-backward stochastic differential equations. Zbl 1327.60114
Bensoussan, A.; Yam, S. C. P.; Zhang, Z.
30
2015
Mean field Stackelberg games: aggregation of delayed instructions. Zbl 1320.91028
Bensoussan, A.; Chau, M. H. M.; Yam, S. C. P.
26
2015
Entrepreneurial decisions on effort and project with a nonconcave objective function. Zbl 1329.90071
Bensoussan, Alain; Cadenillas, Abel; Koo, Hyeng Keun
5
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
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
2
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
52
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.
39
2014
Feedback Stackelberg solutions of infinite-horizon stochastic differential games. Zbl 1296.91063
Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P.
7
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
3
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
293
2013
Linear-quadratic time-inconsistent mean field games. Zbl 1314.91040
Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P.
14
2013
Control and Nash games with mean field effect. Zbl 1264.49028
Bensoussan, Alain; Frehse, Jens
11
2013
Linear quadratic differential games with mixed leadership: the open-loop solution. Zbl 1262.91010
Bensoussan, Alain; Chen, Shaokuan; Sethi, Suresh P.
7
2013
Optimal inventory control with shrinkage and observed sales. Zbl 1302.90009
Bensoussan, Alain; Çakanyıldırım, Metin; Li, Meng; Sethi, Suresh P.
2
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
2
2013
Real options, ambiguity, risk and insurance. Zbl 1272.91002
1
2013
Threshold-type policies for real options using regime-switching models. Zbl 1255.91444
Bensoussan, Alain; Yan, ZhongFeng; Yin, G.
12
2012
Impulse control with random reaction periods: a central bank intervention problem. Zbl 1258.90030
Bensoussan, Alain; Long, Hongwei; Perera, Sandun; Sethi, Suresh
9
2012
Existence and compactness for weak solutions to Bellman systems with critical growth. Zbl 1255.35106
Bensoussan, Alain; Bulíček, Miroslav; Frehse, Jens
4
2012
An analytic approach to the ergodic theory of a stochastic variational inequality. Zbl 1248.60078
Bensoussan, Alain; Mertz, Laurent
4
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.
3
2012
Nash and Stackelberg differential games. Zbl 1254.91051
Bensoussan, Alain; Frehse, Jens; Vogelgesang, Jens
2
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
127
2011
Dynamic programming and inventory control. Zbl 1252.90001
Bensoussan, Alain
24
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.
16
2010
Systems of Bellman equations to stochastic differential games with non-compact coupling. Zbl 1191.35275
Bensoussan, Alain; Frehse, Jens; Vogelgesang, Jens
7
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
Singular control and impulse control: a common approach. Zbl 1181.49033
Bensoussan, Alain; Liu, John; Yuan, Jiguang
4
2010
On a class of partial differential equations with nonlocal Dirichlet boundary conditions. Zbl 1195.35107
Bensoussan, Alain; Turi, Janos
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
When do firms invest in privacy-preserving technologies? Zbl 1298.91064
Kantarcioglu, Murat; Bensoussan, Alain; Hoe, SingRu (Celine)
1
2010
Optimal control of variational inequalities. Zbl 1214.49008
Bensoussan, Alain; Chandrasekaran, Keerthi; Turi, Janos
1
2010
Optimal consumption and portfolio decisions with partially observed real prices. Zbl 1168.91375
Bensoussan, Alain; Keppo, Jussi; Sethi, Suresh P.
21
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
On diagonal elliptic and parabolic systems with super-quadratic Hamiltonians. Zbl 1152.35361
Bensoussan, Alain; Frehse, Jens
9
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
7
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
Diagonal elliptic Bellman systems for stochastic differential games with discount control and noncompact coupling. Zbl 1196.35082
Bensoussan, Alain; Frehse, Jens
2
2009
Censored newsvendor model revisited with unnormalized probabilities. Zbl 1185.93123
Bensoussan, Alain; Çakanyildirim, Metin; Sethi, Suresh P.
2
2009
Bayesian and adaptive controls for a newsvendor facing exponential demand. Zbl 1513.90002
Bensoussan, Alain; Çakanyıldırım, Metin; Royal, Andrew; Sethi, Suresh P.
2
2009
Degenerate Dirichlet problems related to the invariant measure of elasto-plastic oscillators. Zbl 1168.60029
Bensoussan, Alain; Turi, Janos
10
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
Systems of Bellman equations to stochastic differential games with discount control. Zbl 1190.49045
Bensoussan, Alain; Frehse, Jens
4
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
Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
196
2007
A multiperiod newsvendor problem with partially observed demand. Zbl 1279.90008
Bensoussan, Alain; Çakanyıldırım, Metin; Sethi, Suresh P.
12
2007
Partially observed inventory systems: The case of zero-balance walk. Zbl 1190.90015
Bensoussan, Alain; Ąkanyildirim, Metin; Sethi, Suresh P.
12
2007
The machine maintenance and sale age model of Kamien and Schwartz revisited. Zbl 1232.90164
Bensoussan, Alain; Sethi, Suresh P.
4
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.
42
2006
Stochastic variational inequalities for elasto-plastic oscillators. Zbl 1111.60050
Bensoussan, Alain; Turi, Janos
7
2006
...and 177 more Documents
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Cited by 5,615 Authors

88 Bensoussan, Alain
39 Suslina, Tat’yana Aleksandrovna
34 Cui, Junzhi
34 Wu, Zhen
33 Menaldi, Jose-Luis
30 Abdulle, Assyr
30 Yam, Sheung Chi Phillip
27 Allaire, Grégoire
27 Lions, Pierre-Louis
27 Sethi, Suresh P.
24 Cao, Liqun
24 Frehse, Jens
22 Sango, Mamadou
21 Laurière, Mathieu
21 Murat, François
21 Pham, Huyên
21 Temam, Roger Meyer
20 Pastukhova, Svetlana Evgenievna
20 Piatnitski, Andrey L.
19 Donato, Patrizia
19 Gozzi, Fausto
19 Huang, Jianhui
19 Legoll, Frédéric
19 Raymond, Jean-Pierre
18 Noor, Muhammad Aslam
18 Shi, Jingtao
17 Boccardo, Lucio
17 Le Bris, Claude
17 Meng, Qingxin
17 Razafimandimby, Paul André
17 Yong, Jiongmin
16 Carmona, René A.
16 Deugoue, Gabriel
16 Rodríguez-Ramos, Reinaldo
15 Hu, Ying
15 Wang, Guangchen
14 Conca, Carlos
14 Huang, Nan-Jing
14 Kolpakov, Alexander G.
14 Morimoto, Hiroaki
14 Robin, Maurice
14 Tang, Shanjian
13 Bayraktar, Erhan
13 Briane, Marc
13 Elliott, Robert James
13 Flandoli, Franco
13 Ghosh, Mrinal Kanti
13 Hintermüller, Michael
13 Kunisch, Karl
13 Pardoux, Etienne
13 Pavliotis, Grigorios A.
13 Rautenberg, Carlos N.
13 Vanninathan, Muthusamy
12 Başar, Tamer
12 Bessaih, Hakima
12 Borkar, Vivek Shripad
12 Cardaliaguet, Pierre
12 Dong, Hao
12 Jin, Zhuo
12 Kalamkarov, Alexander L.
12 Li, Qin
12 Tachim Medjo, Theodore
12 Wang, Song
12 Xiong, Jie
12 Yang, Zhiqiang
11 Andrianov, Igor Vasil’evich
11 Bravo-Castillero, Julián
11 Cherednichenko, Kirill D.
11 Federico, Salvatore
11 Haiour, Mohamed
11 Huang, Minyi
11 Peng, Shige
11 Qiu, Jinniao
11 Spiliopoulos, Konstantinos V.
11 Stettner, Łukasz
10 Blanc, Xavier
10 Cirant, Marco
10 De Angelis, Tiziano
10 Delarue, François
10 Dobrokhotov, Sergei Yurievich
10 Ferrari, Giorgio
10 Fuhrman, Marco
10 Kolokoltsov, Vassili N.
10 Li, Xun
10 Nie, Tianyang
10 Øksendal, Bernt Karsten
10 Shen, Yang
10 Siu, Tak Kuen
10 Stuart, Andrew M.
10 Tessitore, Gianmario
10 Tucsnak, Marius
10 Visintin, Augusto
10 Wang, Bingchang
10 Woukeng, Jean Louis
10 Xin, Jack X.
10 Yamazaki, Kazutoshi
10 Zhang, Tusheng S.
9 Achdou, Yves
9 Arapostathis, Aristotle
9 Auriault, Jean-Louis
...and 5,515 more Authors
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Cited in 573 Serials

160 Applied Mathematics and Optimization
159 Journal of Mathematical Analysis and Applications
128 SIAM Journal on Control and Optimization
116 Journal of Differential Equations
106 Journal of Optimization Theory and Applications
106 Stochastic Processes and their Applications
91 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
84 Computer Methods in Applied Mechanics and Engineering
79 Automatica
74 Systems & Control Letters
67 Stochastic Analysis and Applications
67 European Journal of Operational Research
58 Multiscale Modeling & Simulation
55 Archive for Rational Mechanics and Analysis
54 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
51 Journal of Computational Physics
49 The Annals of Applied Probability
48 SIAM Journal on Mathematical Analysis
46 Computers & Mathematics with Applications
45 Applied Mathematics and Computation
44 Journal de Mathématiques Pures et Appliquées. Neuvième Série
43 International Journal of Engineering Science
43 Journal of Computational and Applied Mathematics
40 Journal of Functional Analysis
38 Journal of the Mechanics and Physics of Solids
36 Communications in Partial Differential Equations
35 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
34 International Journal of Control
34 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
34 Discrete and Continuous Dynamical Systems
34 European Journal of Mechanics. A. Solids
34 Comptes Rendus. Mathématique. Académie des Sciences, Paris
33 The Annals of Probability
33 Insurance Mathematics & Economics
32 Dynamic Games and Applications
31 Annali di Matematica Pura ed Applicata. Serie Quarta
31 Journal of Mathematical Sciences (New York)
30 Calculus of Variations and Partial Differential Equations
30 NoDEA. Nonlinear Differential Equations and Applications
29 Nonlinear Analysis. Theory, Methods & Applications
28 Applicable Analysis
28 Mathematical Control and Related Fields
27 RAIRO. Modélisation Mathématique et Analyse Numérique
26 SIAM Journal on Applied Mathematics
26 St. Petersburg Mathematical Journal
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25 Probability Theory and Related Fields
25 Annals of Operations Research
24 Transactions of the American Mathematical Society
23 Mathematics of Operations Research
23 Journal of Economic Dynamics & Control
23 MCSS. Mathematics of Control, Signals, and Systems
23 Journal of Industrial and Management Optimization
22 Acta Applicandae Mathematicae
22 SIAM Journal on Scientific Computing
22 Stochastics and Dynamics
21 Communications in Mathematical Physics
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20 Acta Mechanica
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20 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
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19 Physica D
19 Stochastic and Partial Differential Equations. Analysis and Computations
18 Journal of Mathematical Physics
18 Mathematics of Computation
18 Journal of Evolution Equations
18 Discrete and Continuous Dynamical Systems. Series B
17 Journal of Scientific Computing
17 Journal of Global Optimization
17 Mathematical Problems in Engineering
16 Journal of the Franklin Institute
16 Wave Motion
16 Numerische Mathematik
16 SIAM Journal on Numerical Analysis
16 Operations Research Letters
16 Mathematical and Computer Modelling
16 Nonlinear Analysis. Real World Applications
16 Communications on Pure and Applied Analysis
15 Applications of Mathematics
15 Applied Mathematical Modelling
15 Finance and Stochastics
14 ZAMP. Zeitschrift für angewandte Mathematik und Physik
14 Applied Numerical Mathematics
14 Acta Mathematicae Applicatae Sinica. English Series
14 Optimization
14 Applied Mathematics Letters
14 Journal of Systems Science and Complexity
14 Evolution Equations and Control Theory
13 Chinese Annals of Mathematics. Series B
13 Journal of Elasticity
13 Journal of Dynamics and Differential Equations
13 Journal of Inequalities and Applications
...and 473 more Serials
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Cited in 50 Fields

2,121 Partial differential equations (35-XX)
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