## Castaing, Charles

Compute Distance To:
 Author ID: castaing.charles Published as: Castaing, Charles; Castaing, C.; Castaing, Ch. External Links: MGP
 Documents Indexed: 158 Publications since 1965, including 4 Books 1 Contribution as Editor Co-Authors: 49 Co-Authors with 104 Joint Publications 345 Co-Co-Authors
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### Co-Authors

 53 single-authored 15 Monteiro Marques, Manuel D. P. 12 Raynaud de Fitte, Paul 12 Valadier, Michel 11 Salvadori, Anna 10 Ezzaki, Fatima 8 Benabdellah, Houcine 7 Le Xuan Truong 6 Azzam-Laouir, Dalila 6 Saadoune, Mohammed 5 Clauzure, Paulette 5 Godet-Thobie, Christiane 4 Amrani, Allal 3 Hess, Christian 3 Ibrahim, Ahmed Gamal 3 Jalby, Vincent 3 Płuciennik, Ryszard 3 Thibault, Lionel 2 Belhoula, Warda 2 Gamal Ibrahim, M. A. 2 Guessous, Mohamed 2 Haddad, Tahar 2 Jofré, Alejandro 2 Kamińska, Anna 2 Lavie, Marc 2 Mostefai, Fatima-Zohra 2 Phung, Phan Dinh 2 Quang, Nguyen Van 2 Saïdi, Soumia 2 Yarou, M. 1 Akhiat, Fettah 1 Aliouane, Fatine 1 Benguessoum, Messaouda 1 Bounkhel, Messaoud 1 Bourras, Abdelhamid 1 Duong Xuan Giap 1 Duyen, Hoang Thi 1 Faik, L. Aicha 1 Giap, Duong Xuan 1 Hoang, Thi Duyen 1 Ibrahim Ahmed Gamal 1 Laouir-Azzam, Dalila 1 Le Xuan, Truong 1 Makhlouf, Amira 1 Marcellin, Sylvie 1 Nguyen Van Quang 1 Satco, Bianca-Renata 1 Tahri, Khalid 1 Thuan, Nguyen Tran 1 Truong Xuan Duc Ha
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### Serials

 16 Journal of Nonlinear and Convex Analysis 16 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 11 Séminaire d’Analyse Convexe 8 Comptes Rendus de l’Académie des Sciences. Série I 7 Atti del Seminario Matematico e Fisico dell’Università di Modena 5 Acta Mathematica Vietnamica 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Set-Valued Analysis 4 Set-Valued and Variational Analysis 2 Portugaliae Mathematica 2 Journal of Theoretical Probability 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 Séminaire d’Analyse Convexe 2 Journal of Convex Analysis 2 Revue Française d’Informatique et de Recherche Opérationnelle 2 Journal of Fixed Point Theory and Applications 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Studia Mathematica 1 Collectanea Mathematica 1 Control and Cybernetics 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Optimization Theory and Applications 1 Statistics & Probability Letters 1 Indagationes Mathematicae. New Series 1 Topological Methods in Nonlinear Analysis 1 Discussiones Mathematicae. Differential Inclusions 1 Journal of Applied Analysis 1 Vietnam Journal of Mathematics 1 Taiwanese Journal of Mathematics 1 Fractional Calculus & Applied Analysis 1 International Journal of Applied Mathematics 1 Pacific Journal of Optimization 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Lecture Notes in Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Commentationes Mathematicae 1 Evolution Equations and Control Theory
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### Fields

 63 Measure and integration (28-XX) 55 Functional analysis (46-XX) 45 Ordinary differential equations (34-XX) 38 Probability theory and stochastic processes (60-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 20 Operator theory (47-XX) 13 Partial differential equations (35-XX) 11 General topology (54-XX) 7 Real functions (26-XX) 5 Systems theory; control (93-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

119 Publications have been cited 1,699 times in 1,301 Documents Cited by Year
Convex analysis and measurable multifunctions. Zbl 0346.46038
1977
Sur les multi-applications mesurables. Zbl 0153.08501
Castaing, C.
1967
Young measures on topological spaces. With applications in control theory and probability theory. Zbl 1067.28001
Castaing, Charles; Raynaud de Fitte, Paul; Valadier, Michel
2004
Evolution equations governed by the sweeping process. Zbl 0813.34018
Castaing, C.; Dúc Hā, Trúóng Xuân; Valadier, M.
1993
Some contributions to nonconvex sweeping process. Zbl 1185.34017
Castaing, C.; Ibrahim, A. G.; Yarou, M.
2009
Evolution problems associated with nonconvex closed moving sets with bounded variation. Zbl 0848.35052
Castaing, Charles; Monteiro Marques, Manuel D. P.
1996
Sur les équations différentielles multivoques. Zbl 0143.31102
Castaing, C.
1966
BV periodic solutions of an evolution problem associated with continuous moving convex sets. Zbl 0845.35142
Castaing, Charles; Monteiro Marques, Manuel D. P.
1995
Le théorème de Dunford-Pettis généralise. Zbl 0184.40203
Castaing, C.
1969
Equations différentielles multivoques dans les espaces vectoriels localement convexes. Zbl 0186.21004
1969
Functional evolution equations governed by nonconvex sweeping process. Zbl 0999.34062
Castaing, Charles; Salvadori, Anna; Thibault, Lionel
2001
Some problems in optimal control governed by the sweeping process. Zbl 1303.49002
Castaing, C.; Monteiro Marques, M. D. P.; Raynaud De Fitte, P.
2014
Truncation methods applied to problems of weak or strong convergence in $$L^ 1$$. (Méthodes de troncature appliquées à des problèmes de convergence faible ou forte dans $$L^ 1$$.) Zbl 0778.46016
Amrani, A.; Castaing, C.; Valadier, M.
1992
Three boundary value problems for second order differential inclusions in Banach spaces. Zbl 1111.34303
Azzam, Dalila Laouir; Castaing, Charles; Thibault, Lionel
2002
Some various convergence results for multivalued martingales. Zbl 1202.60064
Akhiat, Fettah; Castaing, Charles; Ezzaki, Fatima
2010
Version aléatoire du problème de rafle par un convexe variable. Zbl 0268.35013
Castaing, Charles
1973
Une nouvelle extension du théorème de Dragoni-Scorza. Zbl 0199.49302
Castaing, Charles
1970
Quelques problèmes d’évolution du second ordre. (Some problems of evolution of second order). Zbl 0676.47029
Castaing, C.
1988
Perturbed evolution problems with continuous bounded variation in time and applications. Zbl 1403.34046
Azzam-Laouir, Dalila; Castaing, Charles; Monteiro Marques, M. D. P.
2018
A Skorokhod problem governed by a closed convex moving set. Zbl 1350.34048
Castaing, C.; Marques, M. D. P. Monteiro; Raynaud De Fitte, P.
2016
State dependent sweeping process in $$p$$-uniformly smooth and $$q$$-uniformly convex Banach spaces. Zbl 1262.34072
Bounkhel, Messaoud; Castaing, Charles
2012
A propos de l’existence des sections séparément mésurables et séparément continues d’une multiapplication séparément mésurable et séparément semicontinue inférieurement. Zbl 0356.46045
Castaing, Charles
1976
Equations différentielles. Rafle par un convexe aléatoire à variation continue à droite. Zbl 0321.35018
Castaing, Charles
1976
Quelques résultats de compacite lies à l’intégration. Zbl 0195.40704
Castaing, Charles
1970
Multivalued differential equations on closed convex sets in Banach spaces. Zbl 0809.34025
Castaing, C.; Moussaoui, M.; Syam, A.
1993
Periodic solutions of evolution problems associated with a moving convex set. Zbl 0844.34017
Castaing, Charles; Marques, Manuel D. P. Monteiro
1995
Nonconvex sweeping process. Zbl 0873.34050
Benabdellah, H.; Castaing, C.; Salvadori, A.; Syam, A.
1996
Compacité faible dans l’espace $$L^ 1_ E$$ et dans l’espace des multifonctions intégralement bornées, et minimisation. (Weak compactness in the space $$L^ 1_ E$$ and in the space of integrally bounded multifunctions, and minimization). Zbl 0606.28006
Castaing, Charles; Clauzure, Paulette
1985
Sur une extension du théorème de Lyapounov. Zbl 0131.13003
Castaing, C.
1965
Perturbed evolution problems with absolutely continuous variation in time and applications. Zbl 1418.34122
Azzam-Laouir, Dalila; Belhoula, Warda; Castaing, Charles; Marques, M. D. P. Monteiro
2019
Topological properties of solution sets for sweeping processes with delay. Zbl 0895.34053
Castaing, C.; Monteiro Marques, M. D. P.
1997
Sur l’existence des sections séparément mésurables et séparément continues d’une multi-application. Zbl 0353.46031
Castaing, Charles
1975
Existence problems in second order evolution inclusions: discretization and variational approach. Zbl 1173.35302
Castaing, C.; Ibrahim, A. G.; Yarou, M.
2008
Some problems of measurability related with control theory. (Quelques problèmes de mesurabilité liés à la théorie de la commande.) Zbl 0136.34303
Castaing, Charles
1966
Evolution equations governed by $$m$$-accretive and subdifferential operators with delay. Zbl 1058.34511
Castaing, C.; Faik, L. Aicha; Salvadori, Anna
2000
Multi-valued perturbation to evolution problems involving time dependent maximal monotone operators. Zbl 1469.34084
Azzam-Laouir, Dalila; Belhoula, Warda; Castaing, Charles; Monteiro Marques, M. D. P.
2020
Compactness and discretization methods for differential inclusions and evolution problems. Zbl 0876.34014
Benabdellah, H.; Castaing, C.; Salvadori, A.
1997
Convergence of conditional expectations for unbounded closed convex random sets. Zbl 0902.60003
Castaing, Charles; Ezzaki, Fatima; Hess, Christian
1997
Weak compactness in Pettis integration. Zbl 0902.46022
Amrani, Allal; Castaing, Charles
1997
Solutions continues à droite d’une équation différentielle multivoque avec contrainte sur l’etat. Zbl 0397.34022
Castaing, Charles
1979
Quelques résultats de convergence des suites adaptées. (Some convergence results on adapted sequences). Zbl 0725.60038
Castaing, C.
1989
Various convergence results in strong law of large numbers for double array of random sets in Banach spaces. Zbl 1243.60028
Castaing, Charles; Nguyen Van Quang; Duong Xuan Giap
2012
Denting points in Köthe-Bochner spaces. Zbl 0824.46041
Castaing, Charles; Pluciennik, Ryszard
1994
Version aléatoire du problème de rafle par un convexe. Zbl 0365.47022
Castaing, C.
1974
Mosco convergence of strong law of large numbers for double array of closed valued random variables in Banach space. Zbl 1279.60038
Castaing, Charles; Van Quang, Nguyen; Giap, Duong Xuan
2012
Proximite et mesurabilite . Un théorème de compacite faible. Zbl 0239.49006
Castaing, Charles
1970
Quelques résultats de convergence dans les inclusions différentielles. (Some results on convergence in differential inclusions). Zbl 0715.34024
Castaing, Charles
1987
Intégrales convexes duales. Zbl 0252.28004
Castaing, Charles
1972
Equations différentielles multivoques dans les espaces localement convexes. Zbl 0169.47402
1968
Sur une nouvelle extension du théorème de Ljapunov. Zbl 0173.16401
Castaing, C.
1967
Property $$(H)$$ in Köthe-Bochner spaces. Zbl 0824.46042
Castaing, Charles; Pluciennik, Ryszard
1994
Convergence in Pettis norm under extreme point condition. Zbl 0965.46028
Amrani, Allal; Castaing, Charles; Valadier, Michel
1998
BV solutions of multivalued differential equations on closed moving sets in Banach spaces. Zbl 0836.34015
Benabdellah, H.; Castaing, C.; Gamal Ibrahim, M. A.
1995
Control problems governed by functional evolution inclusions with Young measures. Zbl 1077.49002
Castaing, C.; Jofre, A.; Salvadori, Anna
2004
Second-order evolution problems with time-dependent maximal monotone operator and applications. Zbl 1447.47048
Castaing, C.; Marques, M. D. P. Monteiro; Raynaud de Fitte, P.
2018
A new family of convex weakly compact valued random variables in Banach space and applications to laws of large numbers. Zbl 1230.60008
Castaing, Charles; Van Quang, Nguyen; Thuan, Nguyen Tran
2012
Property $$(H)$$ in Köthe-Bochner spaces. Zbl 0871.46013
Castaing, Charles; Płuciennik, Ryszard
1996
Evolution inclusions with pln functions and application to viscosity and control. Zbl 1127.35025
Castaing, C.; Marcellin, S.
2007
On the integration of fuzzy level sets. Zbl 1331.28033
Castaing, Charles; Godet-Thobie, Christiane; Hoang, Thi Duyen; Raynaud de Fitte, P.
2015
Théorème de Hoffmann-Jörgensen et application aux AMARTs multivoques. (The theorem of Hoffmann-Jörgensen and application to multivalued AMARTs). Zbl 0628.60059
Castaing, C.; Touzani, A.; Valadier, M.
1985
Convergence forte dans $$L^ 1$$ impliquée par la convergence faible. Méthodes de troncature. (Strong convergence in $$L^ 1$$ implied by weak convergence. Truncation methods). Zbl 0768.46002
Amrani, Allal; Castaing, Charles; Valadier, Michel
1992
Sur le graphe d’une multi-application souslinienne (mesurable). Zbl 0217.09203
Castaing, C.
1969
Compacité dans l’espace des mesures de probabilité de transition. (Compactness in spaces of transition probability measures). Zbl 0705.46012
Castaing, C.
1986
A multivalued version of Scorza-Dragoni theorem with an application to normal integrands. Zbl 0882.28010
Castaing, Charles; Monteiro Marques, Manuel D. P.
1994
Functional differential inclusion on closed sets in Banach spaces. Zbl 0962.47031
Castaing, Charles; Ibrahim, Ahmed Gamal
2000
Weak convergence using Young measures. Zbl 0939.28002
1998
Periodic solutions of evolution problem associated with moving convex sets. Zbl 0854.35134
Castaing, Charles; Monteiro Marques, Manuel D. P.
1995
Second order differential inclusions with $$m$$-points boundary conditions. Zbl 1237.34023
Castaing, Charles; Le Xuan Truong
2011
Rafle par un convexe aléatoire à variation continue à droite. Zbl 0353.46032
Castaing, Charles
1975
On the fiber product of Young measures with application to a control problem with measures. Zbl 1137.28300
Castaing, Charles; Raynaud de Fitte, Paul
2004
Convergences in a dual space with applications to Fatou lemma. Zbl 1191.28008
2009
Tightness conditions and integrability of the sequential weak upper limit of a sequence of multifunctions. Zbl 1188.28012
Castaing, Charles; Hess, Christian; Saadoune, Mohamed
2008
Some variational convergence results with applications to evolution inclusions. Zbl 1126.49004
Castaing, Charles; Raynaud de Fitte, Paul; Salvadori, Anna
2006
Convergence of multivalued pramarts. Zbl 1194.28015
Castaing, Charles; Ezzaki, Fatima; Tahri, Khalid
2010
Compacite faible, decomposabilite dans $$L^1_E$$ et dans certains espaces du type Köthe-Orlicz. Zbl 0419.46026
Castaing, Charles
1980
Variational inequalities for integrands martingales and additive random sequences. Zbl 1267.49008
Castaing, C.; Ezzaki, F.
1992
Semicontinuité des fonctionnelles intégrales. Zbl 0557.49005
Castaing, Charles; Clauzure, Paulette
1984
On fractional differential inclusions with nonlocal boundary conditions. Zbl 1428.34012
Castaing, Charles; Godet-Thobie, C.; Phung, Phan D.; Truong, Le X.
2019
Law of large numbers and ergodic theorem for convex weak star compact valued Gelfand-integrable mappings. Zbl 1356.60049
Castaing, C.; Raynaud de Fitte, P.
2013
On a fractional differential inclusion with integral boundary condition in Banach spaces. Zbl 1343.34147
Castaing, Charles; Truong, Le Xuan; Phung, Phan Dinh
2016
A new class of evolution equation in a Hilbert space. Zbl 0576.49023
Castaing, C.
1984
Some applications of Birkhoff-Kingman ergodic theorem. Zbl 1296.28014
Castaing, Charles; Lavie, Marc
2012
Décomposition et convergence des martingales à la limite à valeurs convexes faiblement compactes. (Decomposition and Mosco convergence of martingales in the limit). Zbl 0739.60035
Castaing, Charles; Ezzaki, Fatima
1991
Some convergence results for multivalued martingales in the limit. Zbl 0735.49009
Castaing, C.; Ezzaki, F.
1990
Kolmogorov and Riesz type criteria of compactness in Köthe spaces of vector valued functions. Zbl 0714.46025
Castaing, C.; Kamińska, A.
1990
Un résultat d’existence de sélection mesurable et compacité forte de l’intégrale d’une multiapplication dans un Banach non nécessairement séparable. Zbl 0551.28013
Castaing, C.
1983
Multi-applications measurables, généralisation du principe de bang-bang. Zbl 0155.10202
Castaing, C.
1967
Some theorems in measure theory and generalized dynamical systems defined by contingent equations. Zbl 0192.52904
Castaing, C.
1969
Le théorème de Dunford-Pettis généralisé. Zbl 0203.44302
Castaing, C.
1970
Application d’un théorème de compacité à un résultat de désintégration des mesures. (Application of a compactness theorem on a result of desintegration of measures). Zbl 0223.28013
Castaing, Charles
1971
Quelques résultats de convergence des suites adaptées. (Some convergence results on adapted sequences). Zbl 0655.60040
Castaing, C.
1987
Version multivoque et vectorielle d’un résultat de Brooks-Chacon. (Multivalued and vector version of a result of Brooks-Chacon). Zbl 0698.46025
Castaing, C.; Clauzure, P.
1988
Epiconvergence of integral functionals on the space of vector measures. Zbl 0821.49014
Castaing, Charles; Jalby, Vincent
1994
Weak compactness and convergences in $$L_{E'}^1[E]$$. Zbl 1019.46027
Benabdellah, Houcine; Castaing, Charles
2001
Optimal control problems governed by a second order ordinary differential equation with $$m$$-point boundary condition. Zbl 1319.49001
Castaing, Charles; Godet-Thobie, Christiane; Truong, Le Xuan; Satco, Bianca
2014
On a class of evolution inclusions governed by a nonconvex sweeping process. Zbl 1111.49007
Castaing, C.; Syam, A.
2003
Evolution problems with time-dependent subdifferential operators. Zbl 1448.34125
Castaing, Charles; Marques, Manuel D. P. Monteiro; Saïdi, Soumia
2020
Weak star convergence of martingales in a dual space. Zbl 1238.28011
Castaing, C.; Ezzaki, F.; Lavie, M.; Saadoune, M.
2011
Variational inequalities for integrand martingales and additive random sequences. Zbl 0886.60023
Castaing, C.; Ezzaki, F.
1993
Weak compactness criteria in set-valued integration. Zbl 0918.28014
Castaing, Charles
1997
Multi-valued perturbation to evolution problems involving time dependent maximal monotone operators. Zbl 1469.34084
Azzam-Laouir, Dalila; Belhoula, Warda; Castaing, Charles; Monteiro Marques, M. D. P.
2020
Evolution problems with time-dependent subdifferential operators. Zbl 1448.34125
Castaing, Charles; Marques, Manuel D. P. Monteiro; Saïdi, Soumia
2020
Perturbed evolution problems with absolutely continuous variation in time and applications. Zbl 1418.34122
Azzam-Laouir, Dalila; Belhoula, Warda; Castaing, Charles; Marques, M. D. P. Monteiro
2019
On fractional differential inclusions with nonlocal boundary conditions. Zbl 1428.34012
Castaing, Charles; Godet-Thobie, C.; Phung, Phan D.; Truong, Le X.
2019
Second-order time and state-dependent sweeping process in Hilbert space. Zbl 1423.34079
Aliouane, Fatine; Azzam-Laouir, Dalila; Castaing, Charles; Monteiro Marques, Manuel D. P.
2019
Perturbed evolution problems with continuous bounded variation in time and applications. Zbl 1403.34046
Azzam-Laouir, Dalila; Castaing, Charles; Monteiro Marques, M. D. P.
2018
Second-order evolution problems with time-dependent maximal monotone operator and applications. Zbl 1447.47048
Castaing, C.; Marques, M. D. P. Monteiro; Raynaud de Fitte, P.
2018
Some problems in second order evolution inclusions with boundary condition: a variational approach. Zbl 1400.34104
Castaing, Charles; Le Xuan, Truong; Raynaud de Fitte, Paul; Salvadori, Anna
2017
A Skorokhod problem governed by a closed convex moving set. Zbl 1350.34048
Castaing, C.; Marques, M. D. P. Monteiro; Raynaud De Fitte, P.
2016
On a fractional differential inclusion with integral boundary condition in Banach spaces. Zbl 1343.34147
Castaing, Charles; Truong, Le Xuan; Phung, Phan Dinh
2016
On a fractional differential inclusion in Banach space under weak compactness condition. Zbl 1383.34004
Castaing, C.; Godet-Thobie, C.; Truong, L. X.; Mostefai, F. Z.
2016
On the integration of fuzzy level sets. Zbl 1331.28033
Castaing, Charles; Godet-Thobie, Christiane; Hoang, Thi Duyen; Raynaud de Fitte, P.
2015
Some problems in optimal control governed by the sweeping process. Zbl 1303.49002
Castaing, C.; Monteiro Marques, M. D. P.; Raynaud De Fitte, P.
2014
Optimal control problems governed by a second order ordinary differential equation with $$m$$-point boundary condition. Zbl 1319.49001
Castaing, Charles; Godet-Thobie, Christiane; Truong, Le Xuan; Satco, Bianca
2014
Law of large numbers and ergodic theorem for convex weak star compact valued Gelfand-integrable mappings. Zbl 1356.60049
Castaing, C.; Raynaud de Fitte, P.
2013
Bolza, relaxation and viscosity problems governed by a second order differential equation. Zbl 1271.49002
Castaing, Charles; Truong, Le Xuan
2013
State dependent sweeping process in $$p$$-uniformly smooth and $$q$$-uniformly convex Banach spaces. Zbl 1262.34072
Bounkhel, Messaoud; Castaing, Charles
2012
Various convergence results in strong law of large numbers for double array of random sets in Banach spaces. Zbl 1243.60028
Castaing, Charles; Nguyen Van Quang; Duong Xuan Giap
2012
Mosco convergence of strong law of large numbers for double array of closed valued random variables in Banach space. Zbl 1279.60038
Castaing, Charles; Van Quang, Nguyen; Giap, Duong Xuan
2012
A new family of convex weakly compact valued random variables in Banach space and applications to laws of large numbers. Zbl 1230.60008
Castaing, Charles; Van Quang, Nguyen; Thuan, Nguyen Tran
2012
Some applications of Birkhoff-Kingman ergodic theorem. Zbl 1296.28014
Castaing, Charles; Lavie, Marc
2012
Some topological properties of solution sets in a second order differential inclusion with $$m$$-point boundary conditions. Zbl 1258.34138
Castaing, Charles; Truong, Le Xuan
2012
Second order differential inclusions with $$m$$-points boundary conditions. Zbl 1237.34023
Castaing, Charles; Le Xuan Truong
2011
Weak star convergence of martingales in a dual space. Zbl 1238.28011
Castaing, C.; Ezzaki, F.; Lavie, M.; Saadoune, M.
2011
Some various convergence results for normal integrands. Zbl 1341.28003
Castaing, Charles
2011
Some various convergence results for multivalued martingales. Zbl 1202.60064
Akhiat, Fettah; Castaing, Charles; Ezzaki, Fatima
2010
Convergence of multivalued pramarts. Zbl 1194.28015
Castaing, Charles; Ezzaki, Fatima; Tahri, Khalid
2010
A variational convergence problem with antiperiodic boundary conditions. Zbl 1214.45005
2010
Some contributions to nonconvex sweeping process. Zbl 1185.34017
Castaing, C.; Ibrahim, A. G.; Yarou, M.
2009
Convergences in a dual space with applications to Fatou lemma. Zbl 1191.28008
2009
Existence problems in second order evolution inclusions: discretization and variational approach. Zbl 1173.35302
Castaing, C.; Ibrahim, A. G.; Yarou, M.
2008
Tightness conditions and integrability of the sequential weak upper limit of a sequence of multifunctions. Zbl 1188.28012
Castaing, Charles; Hess, Christian; Saadoune, Mohamed
2008
Relaxation and Bolza problem involving a second order evolution inclusion. Zbl 1145.49019
2008
Evolution inclusions with pln functions and application to viscosity and control. Zbl 1127.35025
Castaing, C.; Marcellin, S.
2007
Some variational convergence results with applications to evolution inclusions. Zbl 1126.49004
Castaing, Charles; Raynaud de Fitte, Paul; Salvadori, Anna
2006
Some variational convergence results for a class of evolution inclusions of second order using Young measure. Zbl 1145.49005
Castaing, Charles; Raynaud de Fitte, Paul; Salvadori, Anna
2005
Young measures on topological spaces. With applications in control theory and probability theory. Zbl 1067.28001
Castaing, Charles; Raynaud de Fitte, Paul; Valadier, Michel
2004
Control problems governed by functional evolution inclusions with Young measures. Zbl 1077.49002
Castaing, C.; Jofre, A.; Salvadori, Anna
2004
On the fiber product of Young measures with application to a control problem with measures. Zbl 1137.28300
Castaing, Charles; Raynaud de Fitte, Paul
2004
On a class of evolution inclusions governed by a nonconvex sweeping process. Zbl 1111.49007
Castaing, C.; Syam, A.
2003
Three boundary value problems for second order differential inclusions in Banach spaces. Zbl 1111.34303
Azzam, Dalila Laouir; Castaing, Charles; Thibault, Lionel
2002
Functional evolution equations governed by nonconvex sweeping process. Zbl 0999.34062
Castaing, Charles; Salvadori, Anna; Thibault, Lionel
2001
Weak compactness and convergences in $$L_{E'}^1[E]$$. Zbl 1019.46027
Benabdellah, Houcine; Castaing, Charles
2001
Evolution equations governed by $$m$$-accretive and subdifferential operators with delay. Zbl 1058.34511
Castaing, C.; Faik, L. Aicha; Salvadori, Anna
2000
Functional differential inclusion on closed sets in Banach spaces. Zbl 0962.47031
Castaing, Charles; Ibrahim, Ahmed Gamal
2000
$$\mathfrak G$$-uniform scalar integrability and strong laws of large numbers for Pettis integrable functions with values in a separable locally convex space. Zbl 0964.60023
Castaing, Charles; Raynaud de Fitte, Paul
2000
Dunford-Pettis-types theorem and convergences in set-valued integration. Zbl 1004.28006
2000
Convergence in Pettis norm under extreme point condition. Zbl 0965.46028
Amrani, Allal; Castaing, Charles; Valadier, Michel
1998
Weak convergence using Young measures. Zbl 0939.28002
1998
Topological properties of solution sets for sweeping processes with delay. Zbl 0895.34053
Castaing, C.; Monteiro Marques, M. D. P.
1997
Compactness and discretization methods for differential inclusions and evolution problems. Zbl 0876.34014
Benabdellah, H.; Castaing, C.; Salvadori, A.
1997
Convergence of conditional expectations for unbounded closed convex random sets. Zbl 0902.60003
Castaing, Charles; Ezzaki, Fatima; Hess, Christian
1997
Weak compactness in Pettis integration. Zbl 0902.46022
Amrani, Allal; Castaing, Charles
1997
Weak compactness criteria in set-valued integration. Zbl 0918.28014
Castaing, Charles
1997
SLLN for convex random sets and random lower semicontinuous integrands. Zbl 0905.60019
Castaing, Charles; Ezzaki, Fatima
1997
Evolution problems associated with nonconvex closed moving sets with bounded variation. Zbl 0848.35052
Castaing, Charles; Monteiro Marques, Manuel D. P.
1996
Nonconvex sweeping process. Zbl 0873.34050
Benabdellah, H.; Castaing, C.; Salvadori, A.; Syam, A.
1996
Property $$(H)$$ in Köthe-Bochner spaces. Zbl 0871.46013
Castaing, Charles; Płuciennik, Ryszard
1996
BV periodic solutions of an evolution problem associated with continuous moving convex sets. Zbl 0845.35142
Castaing, Charles; Monteiro Marques, Manuel D. P.
1995
Periodic solutions of evolution problems associated with a moving convex set. Zbl 0844.34017
Castaing, Charles; Marques, Manuel D. P. Monteiro
1995
BV solutions of multivalued differential equations on closed moving sets in Banach spaces. Zbl 0836.34015
Benabdellah, H.; Castaing, C.; Gamal Ibrahim, M. A.
1995
Periodic solutions of evolution problem associated with moving convex sets. Zbl 0854.35134
Castaing, Charles; Monteiro Marques, Manuel D. P.
1995
Denting points in Köthe-Bochner spaces. Zbl 0824.46041
Castaing, Charles; Pluciennik, Ryszard
1994
Property $$(H)$$ in Köthe-Bochner spaces. Zbl 0824.46042
Castaing, Charles; Pluciennik, Ryszard
1994
A multivalued version of Scorza-Dragoni theorem with an application to normal integrands. Zbl 0882.28010
Castaing, Charles; Monteiro Marques, Manuel D. P.
1994
Epiconvergence of integral functionals on the space of vector measures. Zbl 0821.49014
Castaing, Charles; Jalby, Vincent
1994
Evolution equations governed by the sweeping process. Zbl 0813.34018
Castaing, C.; Dúc Hā, Trúóng Xuân; Valadier, M.
1993
Multivalued differential equations on closed convex sets in Banach spaces. Zbl 0809.34025
Castaing, C.; Moussaoui, M.; Syam, A.
1993
Variational inequalities for integrand martingales and additive random sequences. Zbl 0886.60023
Castaing, C.; Ezzaki, F.
1993
Truncation methods applied to problems of weak or strong convergence in $$L^ 1$$. (Méthodes de troncature appliquées à des problèmes de convergence faible ou forte dans $$L^ 1$$.) Zbl 0778.46016
Amrani, A.; Castaing, C.; Valadier, M.
1992
Convergence forte dans $$L^ 1$$ impliquée par la convergence faible. Méthodes de troncature. (Strong convergence in $$L^ 1$$ implied by weak convergence. Truncation methods). Zbl 0768.46002
Amrani, Allal; Castaing, Charles; Valadier, Michel
1992
Variational inequalities for integrands martingales and additive random sequences. Zbl 1267.49008
Castaing, C.; Ezzaki, F.
1992
BV solutions of multivalued differential equations on closed moving sets in Banach spaces. Zbl 1267.26003
Benabdellah, H.; Castaing, C.; Gamal Ibrahim, M. A.
1992
Décomposition et convergence des martingales à la limite à valeurs convexes faiblement compactes. (Decomposition and Mosco convergence of martingales in the limit). Zbl 0739.60035
Castaing, Charles; Ezzaki, Fatima
1991
Lemme de Fatou multivoque. (Multivalued Fatou lemma). Zbl 0733.28005
Castaing, C.; Clauzure, P.
1991
Some convergence results for multivalued martingales in the limit. Zbl 0735.49009
Castaing, C.; Ezzaki, F.
1990
Kolmogorov and Riesz type criteria of compactness in Köthe spaces of vector valued functions. Zbl 0714.46025
Castaing, C.; Kamińska, A.
1990
Quelques résultats de convergence des suites adaptées. (Some convergence results on adapted sequences). Zbl 0725.60038
Castaing, C.
1989
Quelques problèmes d’évolution du second ordre. (Some problems of evolution of second order). Zbl 0676.47029
Castaing, C.
1988
Version multivoque et vectorielle d’un résultat de Brooks-Chacon. (Multivalued and vector version of a result of Brooks-Chacon). Zbl 0698.46025
Castaing, C.; Clauzure, P.
1988
Quelques résultats de convergence dans les inclusions différentielles. (Some results on convergence in differential inclusions). Zbl 0715.34024
Castaing, Charles
1987
Quelques résultats de convergence des suites adaptées. (Some convergence results on adapted sequences). Zbl 0655.60040
Castaing, C.
1987
Compacité dans l’espace des mesures de probabilité de transition. (Compactness in spaces of transition probability measures). Zbl 0705.46012
Castaing, C.
1986
Compacité faible dans l’espace $$L^ 1_ E$$ et dans l’espace des multifonctions intégralement bornées, et minimisation. (Weak compactness in the space $$L^ 1_ E$$ and in the space of integrally bounded multifunctions, and minimization). Zbl 0606.28006
Castaing, Charles; Clauzure, Paulette
1985
Théorème de Hoffmann-Jörgensen et application aux AMARTs multivoques. (The theorem of Hoffmann-Jörgensen and application to multivalued AMARTs). Zbl 0628.60059
Castaing, C.; Touzani, A.; Valadier, M.
1985
Semicontinuité des fonctionnelles intégrales. Zbl 0557.49005
Castaing, Charles; Clauzure, Paulette
1984
A new class of evolution equation in a Hilbert space. Zbl 0576.49023
Castaing, C.
1984
Un résultat d’existence de sélection mesurable et compacité forte de l’intégrale d’une multiapplication dans un Banach non nécessairement séparable. Zbl 0551.28013
Castaing, C.
1983
Solutions continues à droite d’un problème d’évolution dans C(X) et dans les espaces hilbertiens. Zbl 0574.34043
Castaing, Charles
1982
Compacite faible, decomposabilite dans $$L^1_E$$ et dans certains espaces du type Köthe-Orlicz. Zbl 0419.46026
Castaing, Charles
1980
Solutions continues à droite d’une équation différentielle multivoque avec contrainte sur l’etat. Zbl 0397.34022
Castaing, Charles
1979
Convex analysis and measurable multifunctions. Zbl 0346.46038
1977
Représentation intégrale et décomposition de formes sous-linéaires continues sur un espace vectoriel norme decomposable de fonctions vectorielles mesurables. Zbl 0386.46029
Castaing, Charles; Clauzure, Paulette
1977
A propos de l’existence des sections séparément mésurables et séparément continues d’une multiapplication séparément mésurable et séparément semicontinue inférieurement. Zbl 0356.46045
Castaing, Charles
1976
Equations différentielles. Rafle par un convexe aléatoire à variation continue à droite. Zbl 0321.35018
Castaing, Charles
1976
Sur l’existence des sections séparément mésurables et séparément continues d’une multi-application. Zbl 0353.46031
Castaing, Charles
1975
Rafle par un convexe aléatoire à variation continue à droite. Zbl 0353.46032
Castaing, Charles
1975
Problèmes de mesurabilite lies aux opérateurs monotones. Zbl 0355.47034
Castaing, Charles
1975
Compacite faible des sections d’une multi-application dans les espaces de Köthe généralises. Étude des points extremaux d’un convexe compact variable. Zbl 0315.28006
Castaing, Charles
1975
Version aléatoire du problème de rafle par un convexe. Zbl 0365.47022
Castaing, C.
1974
...and 19 more Documents
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### Cited by 1,190 Authors

 38 Ntouyas, Sotiris K. 32 Ahmad, Bashir 28 Castaing, Charles 27 Balder, Erik J. 26 Papageorgiou, Nikolaos S. 22 Thibault, Lionel 19 Benchohra, Mouffak 18 Al-saedi, Ahmed Eid Salem 18 Azzam-Laouir, Dalila 17 Lu, Kening 16 Beer, Gerald Alan 15 Penot, Jean-Paul 14 Schmalfuß, Björn 13 Agarwal, Ravi P. 12 Khan, Mohammed Ali 12 Valadier, Michel 11 Monteiro Marques, Manuel D. P. 11 Sambucini, Anna Rita 11 Satco, Bianca-Renata 11 Savaré, Giuseppe 10 Adly, Samir 10 De Blasi, Francesco Saverio 10 Kamenskiĭ, Mikhaĭl Igor’evich 9 Ambrosio, Luigi 9 Di Piazza, Luisa 9 Haddad, Tahar 9 Mordukhovich, Boris S. 9 Noguchi, Mitsunori 9 Pérez-Aros, Pedro 9 Pianigiani, Giulio 8 Bouchitté, Guy 8 Candeloro, Domenico 8 Garrido-Atienza, María José 8 Himmelberg, C. J. 8 Michaille, Gérard 8 Obukhovskiĭ, Valeriĭ Vladimirovich 8 Ouahab, Abdelghani 8 Podczeck, Konrad 8 Quang, Nguyen Van 8 Shen, Jun 8 van Vleck, Fred Scott 8 Yannelis, Nicholas Constantine 7 Bounkhel, Messaoud 7 Caraballo Garrido, Tomás 7 Cernea, Aurelian 7 Cichoń, Mieczysław 7 Ding, Xie Ping 7 Ezzaki, Fatima 7 Hantoute, Abderrahim 7 Hess, Christian 7 Ibrahim, Ahmed Gamal 7 Katzourakis, Nikolaos I. 7 Kloeden, Peter Eris 7 Lorenz, Thomas 7 Musial, Kazimierz 7 Page, Frank H. jun. 7 Raynaud de Fitte, Paul 7 Sun, Yeneng 7 Tolstonogov, Aleksandr Aleksandrovich 7 Vilches, Emilio 7 Xu, Huifu 7 Yarou, Mustapha Fateh 6 Artstein, Zvi 6 Attouch, Hedy 6 Cellina, Arrigo 6 Colombo, Giovanni 6 Henderson, Johnny Lee 6 Li, Shoumei 6 Malinowski, Marek T. 6 Maruyama, Toru 6 Nacry, Florent 6 Nguyêñ Hôǹg Thái 6 Roberto, Lucchetti E. 6 Rossi, Riccarda 6 Valero, José 5 Abbas, Said 5 Affane, Doria 5 Appell, Jürgen M. 5 Carmona, Guilherme 5 Cubiotti, Paolo 5 Flandoli, Franco 5 Hamani, Samira 5 Kravvaritis, Dimitrios C. 5 Langa, Jose’ Antonio 5 Le, Ba Khiet 5 Nowakowski, Andrzej F. 5 Park, Choonkil 5 Saïdi, Soumia 5 Santambrogio, Filippo 5 Tariboon, Jessada 5 Visintin, Augusto 5 Volle, Michel 5 Xue, Xiaoping 5 Zabreĭko, Pëtr Petrovich 4 Alberti, Giovanni 4 Beckus, Siegfried 4 Bellissard, Jean V. 4 Bottaro Aruffo, Ada 4 Brogliato, Bernard 4 Brzeźniak, Zdzisław ...and 1,090 more Authors
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### Cited in 269 Serials

 140 Journal of Mathematical Analysis and Applications 61 Journal of Differential Equations 40 Fuzzy Sets and Systems 35 Journal of Optimization Theory and Applications 33 Annali di Matematica Pura ed Applicata. Serie Quarta 31 Set-Valued and Variational Analysis 29 Journal of Mathematical Economics 26 Set-Valued Analysis 25 Journal of Functional Analysis 25 Proceedings of the American Mathematical Society 23 Transactions of the American Mathematical Society 23 Nonlinear Analysis. Theory, Methods & Applications 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Mathematical Programming. Series A. Series B 17 Discrete and Continuous Dynamical Systems. Series B 16 Economic Theory 16 Journal of Convex Analysis 15 Calculus of Variations and Partial Differential Equations 14 Journal of Economic Theory 14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 13 Mediterranean Journal of Mathematics 13 Advances in Difference Equations 12 Journal of Fixed Point Theory and Applications 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Abstract and Applied Analysis 10 Journal of Multivariate Analysis 10 SIAM Journal on Control and Optimization 9 Archive for Rational Mechanics and Analysis 9 Rocky Mountain Journal of Mathematics 9 Rendiconti del Seminario Matematico della Università di Padova 9 Results in Mathematics 9 Discrete and Continuous Dynamical Systems 8 Journal of Approximation Theory 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Fractional Calculus & Applied Analysis 7 Applicable Analysis 7 Mathematical Notes 7 Numerical Functional Analysis and Optimization 7 Applied Mathematics and Mechanics. (English Edition) 7 Optimization 7 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 7 Stochastic Processes and their Applications 7 Indagationes Mathematicae. New Series 6 Israel Journal of Mathematics 6 Applied Mathematics and Optimization 6 Czechoslovak Mathematical Journal 6 Mathematische Nachrichten 6 Proceedings of the Japan Academy. Series A 6 Siberian Mathematical Journal 6 Ergodic Theory and Dynamical Systems 6 Statistics & Probability Letters 6 SIAM Journal on Mathematical Analysis 6 Journal of Dynamics and Differential Equations 6 Journal of Dynamical and Control Systems 6 Boundary Value Problems 5 Communications on Pure and Applied Mathematics 5 Journal of Soviet Mathematics 5 Mathematische Annalen 5 Probability Theory and Related Fields 5 International Journal of Approximate Reasoning 5 Aequationes Mathematicae 5 Stochastics and Dynamics 5 Journal of Function Spaces 4 Advances in Mathematics 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Applied Mathematics and Computation 4 International Journal of Game Theory 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Ricerche di Matematica 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Zeitschrift für Analysis und ihre Anwendungen 4 Vietnam Journal of Mathematics 4 Positivity 4 Journal of Inequalities and Applications 4 Nonlinear Analysis. Real World Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Function Spaces and Applications 4 Evolution Equations and Control Theory 3 Bulletin of the Australian Mathematical Society 3 Computers & Mathematics with Applications 3 Journal of Mathematical Physics 3 Ukrainian Mathematical Journal 3 Information Sciences 3 Mathematica Slovaca 3 Mathematical Systems Theory 3 Memoirs of the American Mathematical Society 3 Topology and its Applications 3 Mathematical Social Sciences 3 Stochastic Analysis and Applications 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Applied Mathematics Letters 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Journal on Optimization 3 Topological Methods in Nonlinear Analysis 3 Annales Henri Poincaré 3 Journal of Systems Science and Complexity 3 Journal of Applied Mathematics and Computing 3 Discrete and Continuous Dynamical Systems. Series S 3 AIMS Mathematics 2 Lithuanian Mathematical Journal ...and 169 more Serials
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### Cited in 51 Fields

 350 Ordinary differential equations (34-XX) 326 Calculus of variations and optimal control; optimization (49-XX) 224 Probability theory and stochastic processes (60-XX) 222 Measure and integration (28-XX) 221 Operator theory (47-XX) 175 Functional analysis (46-XX) 164 Partial differential equations (35-XX) 136 General topology (54-XX) 116 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 112 Dynamical systems and ergodic theory (37-XX) 103 Real functions (26-XX) 72 Systems theory; control (93-XX) 70 Operations research, mathematical programming (90-XX) 35 Mechanics of deformable solids (74-XX) 31 Global analysis, analysis on manifolds (58-XX) 30 Difference and functional equations (39-XX) 28 Statistics (62-XX) 27 Integral equations (45-XX) 22 Numerical analysis (65-XX) 21 Convex and discrete geometry (52-XX) 19 Fluid mechanics (76-XX) 13 Mathematical logic and foundations (03-XX) 12 Approximations and expansions (41-XX) 10 Biology and other natural sciences (92-XX) 5 Differential geometry (53-XX) 5 Computer science (68-XX) 5 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX)