Edit Profile (opens in new tab) Castaing, Charles Co-Author Distance Author ID: castaing.charles Published as: Castaing, Charles; Castaing, C.; Castaing, Ch. more...less External Links: MGP Documents Indexed: 165 Publications since 1965, including 4 Books and 1 Additional arXiv Preprint 1 Contribution as Editor Co-Authors: 51 Co-Authors with 111 Joint Publications 385 Co-Co-Authors all top 5 Co-Authors 53 single-authored 17 Monteiro Marques, Manuel D. P. 13 Raynaud de Fitte, Paul 12 Valadier, Michel 11 Salvadori, Anna 10 Ezzaki, Fatima 8 Benabdellah, Houcine 7 Azzam-Laouir, Dalila 7 Godet-Thobie, Christiane 6 Saadoune, Mohammed 6 Truong, Le Xuan 5 Clauzure, Paulette 4 Amrani, Allal 4 Saïdi, Soumia 4 Thibault, Lionel 3 Duyen, Hoang Thi 3 Hess, Christian 3 Ibrahim, Ahmed Gamal 3 Jalby, Vincent 3 Płuciennik, Ryszard 3 Quang, Nguyen Van 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 Yarou, M. 1 Akhiat, Fettah 1 Aliouane, Fatine 1 Benguessoum, Messaouda 1 Bounkhel, Messaoud 1 Bourras, Abdelhamid 1 Duong Xuan Giap 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 Le Xuan, Truong 1 Makhlouf, Amira 1 Marcellin, Sylvie 1 Marie, Nicolas 1 Nguyen Van Quang 1 Satco, Bianca-Renata 1 Tahri, Khalid 1 Thuan, Nguyen Tran 1 Truong Xuan Duc Ha all top 5 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 5 Set-Valued and Variational Analysis 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Set-Valued Analysis 3 Journal of Convex Analysis 2 Portugaliae Mathematica 2 Journal of Theoretical Probability 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 Séminaire d’Analyse Convexe 2 Vietnam Journal of Mathematics 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 Applied Mathematics and Optimization 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 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 all top 5 Fields 66 Measure and integration (28-XX) 55 Functional analysis (46-XX) 49 Ordinary differential equations (34-XX) 42 Probability theory and stochastic processes (60-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 22 Operator theory (47-XX) 13 Partial differential equations (35-XX) 12 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 2,128 times in 1,508 Documents Cited by ▼ Year ▼ Convex analysis and measurable multifunctions. Zbl 0346.46038 Castaing, C.; Valadier, M. 1,169 1977 Young measures on topological spaces. With applications in control theory and probability theory. Zbl 1067.28001 Castaing, Charles; Raynaud de Fitte, Paul; Valadier, Michel 97 2004 Sur les multi-applications mesurables. Zbl 0153.08501 Castaing, C. 72 1967 Evolution equations governed by the sweeping process. Zbl 0813.34018 Castaing, C.; Dúc Hā, Trúóng Xuân; Valadier, M. 56 1993 Some contributions to nonconvex sweeping process. Zbl 1185.34017 Castaing, C.; Ibrahim, A. G.; Yarou, M. 38 2009 Evolution problems associated with nonconvex closed moving sets with bounded variation. Zbl 0848.35052 Castaing, Charles; Monteiro Marques, Manuel D. P. 28 1996 BV periodic solutions of an evolution problem associated with continuous moving convex sets. Zbl 0845.35142 Castaing, Charles; Monteiro Marques, Manuel D. P. 24 1995 Sur les équations différentielles multivoques. Zbl 0143.31102 Castaing, C. 24 1966 Functional evolution equations governed by nonconvex sweeping process. Zbl 0999.34062 Castaing, Charles; Salvadori, Anna; Thibault, Lionel 22 2001 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 20 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. 18 2018 Le théorème de Dunford-Pettis généralise. Zbl 0184.40203 Castaing, C. 17 1969 Equations différentielles multivoques dans les espaces vectoriels localement convexes. Zbl 0186.21004 Castaing, C.; Valadier, M. 17 1969 Quelques problèmes d’évolution du second ordre. (Some problems of evolution of second order). Zbl 0676.47029 Castaing, C. 16 1988 A Skorokhod problem governed by a closed convex moving set. Zbl 1350.34048 Castaing, C.; Marques, M. D. P. Monteiro; Raynaud De Fitte, P. 16 2016 Some various convergence results for multivalued martingales. Zbl 1202.60064 Akhiat, Fettah; Castaing, Charles; Ezzaki, Fatima 16 2010 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. 15 2020 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. 14 1992 Some problems in optimal control governed by the sweeping process. Zbl 1303.49002 Castaing, C.; Monteiro Marques, M. D. P.; Raynaud De Fitte, P. 14 2014 Version aléatoire du problème de rafle par un convexe variable. Zbl 0268.35013 Castaing, Charles 13 1973 Three boundary value problems for second order differential inclusions in Banach spaces. Zbl 1111.34303 Azzam, Dalila Laouir; Castaing, Charles; Thibault, Lionel 13 2002 Existence problems in second order evolution inclusions: discretization and variational approach. Zbl 1173.35302 Castaing, C.; Ibrahim, A. G.; Yarou, M. 13 2008 Une nouvelle extension du théorème de Dragoni-Scorza. Zbl 0199.49302 Castaing, Charles 12 1970 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. 11 2018 State dependent sweeping process in \(p\)-uniformly smooth and \(q\)-uniformly convex Banach spaces. Zbl 1262.34072 Bounkhel, Messaoud; Castaing, Charles 10 2012 Topological properties of solution sets for sweeping processes with delay. Zbl 0895.34053 Castaing, C.; Monteiro Marques, M. D. P. 9 1997 Quelques résultats de compacite lies à l’intégration. Zbl 0195.40704 Castaing, Charles 9 1970 Evolution equations governed by \(m\)-accretive and subdifferential operators with delay. Zbl 1058.34511 Castaing, C.; Faik, L. Aicha; Salvadori, Anna 8 2000 Equations différentielles. Rafle par un convexe aléatoire à variation continue à droite. Zbl 0321.35018 Castaing, Charles 8 1976 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 8 1976 Nonconvex sweeping process. Zbl 0873.34050 Benabdellah, H.; Castaing, C.; Salvadori, A.; Syam, A. 8 1996 Compactness and discretization methods for differential inclusions and evolution problems. Zbl 0876.34014 Benabdellah, H.; Castaing, C.; Salvadori, A. 8 1997 Multivalued differential equations on closed convex sets in Banach spaces. Zbl 0809.34025 Castaing, C.; Moussaoui, M.; Syam, A. 8 1993 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. 8 2019 Periodic solutions of evolution problems associated with a moving convex set. Zbl 0844.34017 Castaing, Charles; Marques, Manuel D. P. Monteiro 7 1995 Sur une extension du théorème de Lyapounov. Zbl 0131.13003 Castaing, C. 7 1965 Sur l’existence des sections séparément mésurables et séparément continues d’une multi-application. Zbl 0353.46031 Castaing, Charles 7 1975 Convergence of conditional expectations for unbounded closed convex random sets. Zbl 0902.60003 Castaing, Charles; Ezzaki, Fatima; Hess, Christian 7 1997 Evolution inclusions with pln functions and application to viscosity and control. Zbl 1127.35025 Castaing, C.; Marcellin, S. 6 2007 Some problems of measurability related with control theory. (Quelques problèmes de mesurabilité liés à la théorie de la commande.) Zbl 0136.34303 Castaing, Charles 6 1966 Quelques résultats de compacité lies à l’intégration. Zbl 0245.46036 Castaing, Charles 6 1972 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 6 1985 Solutions continues à droite d’une équation différentielle multivoque avec contrainte sur l’etat. Zbl 0397.34022 Castaing, Charles 6 1979 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 6 2012 On fractional differential inclusions with nonlocal boundary conditions. Zbl 1428.34012 Castaing, Charles; Godet-Thobie, C.; Phung, Phan D.; Truong, Le X. 6 2019 Evolution problems with time-dependent subdifferential operators. Zbl 1448.34125 Castaing, Charles; Marques, Manuel D. P. Monteiro; Saïdi, Soumia 6 2020 On a time and state dependent maximal monotone operator coupled with a sweeping process with perturbations. Zbl 1469.34057 Benguessoum, Messaouda; Azzam-Laouir, Dalila; Castaing, Charles 6 2021 Functional differential inclusion on closed sets in Banach spaces. Zbl 0962.47031 Castaing, Charles; Ibrahim, Ahmed Gamal 5 2000 BV solutions of multivalued differential equations on closed moving sets in Banach spaces. Zbl 0836.34015 Benabdellah, H.; Castaing, C.; Gamal Ibrahim, M. A. 5 1995 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 5 2012 Proximite et mesurabilite . Un théorème de compacite faible. Zbl 0239.49006 Castaing, Charles 5 1970 Some variational convergence results with applications to evolution inclusions. Zbl 1126.49004 Castaing, Charles; Raynaud de Fitte, Paul; Salvadori, Anna 5 2006 Quelques résultats de convergence des suites adaptées. (Some convergence results on adapted sequences). Zbl 0725.60038 Castaing, C. 5 1989 Weak compactness in Pettis integration. Zbl 0902.46022 Amrani, Allal; Castaing, Charles 5 1997 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 5 2014 On fractional evolution inclusion coupled with a time and state dependent maximal monotone operator. Zbl 1500.34006 Castaing, Charles; Godet-Thobie, C.; Saïdi, Soumia 5 2022 Dunford-Pettis-types theorem and convergences in set-valued integration. Zbl 1004.28006 Castaing, Charles; Saadoune, Mohammed 4 2000 Weak star convergence of martingales in a dual space. Zbl 1238.28011 Castaing, C.; Ezzaki, F.; Lavie, M.; Saadoune, M. 4 2011 Convergences in a dual space with applications to Fatou lemma. Zbl 1191.28008 Castaing, Charles; Saadoune, Mohammed 4 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 4 2008 Denting points in Köthe-Bochner spaces. Zbl 0824.46041 Castaing, Charles; Pluciennik, Ryszard 4 1994 Intégrales convexes duales. Zbl 0252.28004 Castaing, Charles 4 1972 A new class of evolution equation in a Hilbert space. Zbl 0576.49023 Castaing, C. 4 1984 Version aléatoire du problème de rafle par un convexe. Zbl 0365.47022 Castaing, C. 4 1974 On the integration of fuzzy level sets. Zbl 1331.28033 Castaing, Charles; Godet-Thobie, Christiane; Hoang, Thi Duyen; Raynaud de Fitte, P. 4 2015 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. 4 2013 On a fractional differential inclusion with integral boundary condition in Banach spaces. Zbl 1343.34147 Castaing, Charles; Truong, Le Xuan; Phung, Phan Dinh 4 2016 Convergence of multivalued pramarts. Zbl 1194.28015 Castaing, Charles; Ezzaki, Fatima; Tahri, Khalid 4 2010 On a fractional differential inclusion with boundary conditions and application to subdifferential operators. Zbl 1470.28012 Castaing, C.; Godet-Thobie, C.; Mostefai, F. Z. 4 2017 \(\mathfrak G\)-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 3 2000 Convergence in Pettis norm under extreme point condition. Zbl 0965.46028 Amrani, Allal; Castaing, Charles; Valadier, Michel 3 1998 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 3 2012 Control problems governed by functional evolution inclusions with Young measures. Zbl 1077.49002 Castaing, C.; Jofre, A.; Salvadori, Anna 3 2004 Equations différentielles multivoques dans les espaces localement convexes. Zbl 0169.47402 Castaing, C.; Valadier, M. 3 1968 Sur une nouvelle extension du théorème de Ljapunov. Zbl 0173.16401 Castaing, C. 3 1967 Property \((H)\) in Köthe-Bochner spaces. Zbl 0824.46042 Castaing, Charles; Pluciennik, Ryszard 3 1994 Quelques résultats de convergence dans les inclusions différentielles. (Some results on convergence in differential inclusions). Zbl 0715.34024 Castaing, Charles 3 1987 Property \((H)\) in Köthe-Bochner spaces. Zbl 0871.46013 Castaing, Charles; Płuciennik, Ryszard 3 1996 Weak compactness and convergences in \(L_{E'}^1[E]\). Zbl 1019.46027 Benabdellah, Houcine; Castaing, Charles 3 2001 Various perturbations of time dependent maximal monotone/accretive operators in evolution inclusions with applications. Zbl 1516.34092 Castaing, Charles; Godet-Thobie, Christiane; Saïdi, Soumia; Marques, Manuel D. P. Monteiro 3 2023 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. 2 1985 Quelques résultats de convergence des suites adaptées. (Some convergence results on adapted sequences). Zbl 0655.60040 Castaing, C. 2 1987 Semicontinuité des fonctionnelles intégrales. Zbl 0557.49005 Castaing, Charles; Clauzure, Paulette 2 1984 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 2 2012 On the fiber product of Young measures with application to a control problem with measures. Zbl 1137.28300 Castaing, Charles; Raynaud de Fitte, Paul 2 2004 Periodic solutions of evolution problem associated with moving convex sets. Zbl 0854.35134 Castaing, Charles; Monteiro Marques, Manuel D. P. 2 1995 Second order differential inclusions with \(m\)-points boundary conditions. Zbl 1237.34023 Castaing, Charles; Le Xuan Truong 2 2011 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. 2 2016 Weak convergence using Young measures. Zbl 0939.28002 Castaing, Charles; Valadier, Michel 2 1998 A multivalued version of Scorza-Dragoni theorem with an application to normal integrands. Zbl 0882.28010 Castaing, Charles; Monteiro Marques, Manuel D. P. 2 1994 Sur le graphe d’une multi-application souslinienne (mesurable). Zbl 0217.09203 Castaing, Charles 2 1969 Rafle par un convexe aléatoire à variation continue à droite. Zbl 0353.46032 Castaing, Charles 2 1975 SLLN for convex random sets and random lower semicontinuous integrands. Zbl 0905.60019 Castaing, Charles; Ezzaki, Fatima 2 1997 Compacité dans l’espace des mesures de probabilité de transition. (Compactness in spaces of transition probability measures). Zbl 0705.46012 Castaing, C. 2 1986 Kolmogorov and Riesz type criteria of compactness in Köthe spaces of vector valued functions. Zbl 0714.46025 Castaing, C.; Kamińska, A. 2 1990 Lemme de Fatou multivoque. (Multivalued Fatou lemma). Zbl 0733.28005 Castaing, C.; Clauzure, P. 2 1991 Some convergence results for multivalued martingales in the limit. Zbl 0735.49009 Castaing, C.; Ezzaki, F. 2 1990 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 2 1992 Variational inequalities for integrand martingales and additive random sequences. Zbl 0886.60023 Castaing, C.; Ezzaki, F. 2 1993 Compacite faible, decomposabilite dans \(L^1_E\) et dans certains espaces du type Köthe-Orlicz. Zbl 0419.46026 Castaing, Charles 2 1980 Various perturbations of time dependent maximal monotone/accretive operators in evolution inclusions with applications. Zbl 1516.34092 Castaing, Charles; Godet-Thobie, Christiane; Saïdi, Soumia; Marques, Manuel D. P. Monteiro 3 2023 Various perturbations and relaxations of the sweeping process. Zbl 1528.34052 Castaing, Charles; Thibault, Lionel 2 2023 On fractional evolution inclusion coupled with a time and state dependent maximal monotone operator. Zbl 1500.34006 Castaing, Charles; Godet-Thobie, C.; Saïdi, Soumia 5 2022 Sweeping processes perturbed by rough signals. Zbl 1498.60186 Castaing, Charles; Marie, Nicolas; Raynaud de Fitte, Paul 2 2022 On a time and state dependent maximal monotone operator coupled with a sweeping process with perturbations. Zbl 1469.34057 Benguessoum, Messaouda; Azzam-Laouir, Dalila; Castaing, Charles 6 2021 Lipschitz perturbation to evolution inclusion driven by time-dependent maximal monotone operators. Zbl 1494.34135 Castaing, Charles; Saïdi, Soumia 2 2021 Existence and relaxation of solutions for evolution differential inclusions with maximal monotone operators. Zbl 1482.34143 Makhlouf, Amira; Azzam-Laouir, Dalila; Castaing, Charles 1 2021 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. 15 2020 Evolution problems with time-dependent subdifferential operators. Zbl 1448.34125 Castaing, Charles; Marques, Manuel D. P. Monteiro; Saïdi, Soumia 6 2020 Strong laws of large numbers for pairwise \(M\)-dependent random sets under various convergences. Zbl 1469.60089 Castaing, Charles; Duyen, Hoang Thi; Hess, Christian 1 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 20 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. 8 2019 On fractional differential inclusions with nonlocal boundary conditions. Zbl 1428.34012 Castaing, Charles; Godet-Thobie, C.; Phung, Phan D.; Truong, Le X. 6 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. 18 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. 11 2018 On a fractional differential inclusion with boundary conditions and application to subdifferential operators. Zbl 1470.28012 Castaing, C.; Godet-Thobie, C.; Mostefai, F. Z. 4 2017 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 1 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. 16 2016 On a fractional differential inclusion with integral boundary condition in Banach spaces. Zbl 1343.34147 Castaing, Charles; Truong, Le Xuan; Phung, Phan Dinh 4 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. 2 2016 On the integration of fuzzy level sets. Zbl 1331.28033 Castaing, Charles; Godet-Thobie, Christiane; Hoang, Thi Duyen; Raynaud de Fitte, P. 4 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. 14 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 5 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. 4 2013 Bolza, relaxation and viscosity problems governed by a second order differential equation. Zbl 1271.49002 Castaing, Charles; Truong, Le Xuan 1 2013 State dependent sweeping process in \(p\)-uniformly smooth and \(q\)-uniformly convex Banach spaces. Zbl 1262.34072 Bounkhel, Messaoud; Castaing, Charles 10 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 6 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 5 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 3 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 2 2012 Some applications of Birkhoff-Kingman ergodic theorem. Zbl 1296.28014 Castaing, Charles; Lavie, Marc 1 2012 Weak star convergence of martingales in a dual space. Zbl 1238.28011 Castaing, C.; Ezzaki, F.; Lavie, M.; Saadoune, M. 4 2011 Second order differential inclusions with \(m\)-points boundary conditions. Zbl 1237.34023 Castaing, Charles; Le Xuan Truong 2 2011 Some various convergence results for normal integrands. Zbl 1341.28003 Castaing, Charles 2 2011 Some various convergence results for multivalued martingales. Zbl 1202.60064 Akhiat, Fettah; Castaing, Charles; Ezzaki, Fatima 16 2010 Convergence of multivalued pramarts. Zbl 1194.28015 Castaing, Charles; Ezzaki, Fatima; Tahri, Khalid 4 2010 A variational convergence problem with antiperiodic boundary conditions. Zbl 1214.45005 Castaing, C.; Haddad, T.; Salvadori, A. 1 2010 Some contributions to nonconvex sweeping process. Zbl 1185.34017 Castaing, C.; Ibrahim, A. G.; Yarou, M. 38 2009 Convergences in a dual space with applications to Fatou lemma. Zbl 1191.28008 Castaing, Charles; Saadoune, Mohammed 4 2009 Existence problems in second order evolution inclusions: discretization and variational approach. Zbl 1173.35302 Castaing, C.; Ibrahim, A. G.; Yarou, M. 13 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 4 2008 Relaxation and Bolza problem involving a second order evolution inclusion. Zbl 1145.49019 Castaing, C.; Haddad, T. 2 2008 Evolution inclusions with pln functions and application to viscosity and control. Zbl 1127.35025 Castaing, C.; Marcellin, S. 6 2007 Komlós type convergence for random variables and random sets with applications to minimization problems. Zbl 1131.49013 Castaing, C.; Saadoune, M. 1 2007 Some variational convergence results with applications to evolution inclusions. Zbl 1126.49004 Castaing, Charles; Raynaud de Fitte, Paul; Salvadori, Anna 5 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 1 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 97 2004 Control problems governed by functional evolution inclusions with Young measures. Zbl 1077.49002 Castaing, C.; Jofre, A.; Salvadori, Anna 3 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 2 2004 On a class of evolution inclusions governed by a nonconvex sweeping process. Zbl 1111.49007 Castaing, C.; Syam, A. 1 2003 Three boundary value problems for second order differential inclusions in Banach spaces. Zbl 1111.34303 Azzam, Dalila Laouir; Castaing, Charles; Thibault, Lionel 13 2002 Functional evolution equations governed by nonconvex sweeping process. Zbl 0999.34062 Castaing, Charles; Salvadori, Anna; Thibault, Lionel 22 2001 Weak compactness and convergences in \(L_{E'}^1[E]\). Zbl 1019.46027 Benabdellah, Houcine; Castaing, Charles 3 2001 Evolution equations governed by \(m\)-accretive and subdifferential operators with delay. Zbl 1058.34511 Castaing, C.; Faik, L. Aicha; Salvadori, Anna 8 2000 Functional differential inclusion on closed sets in Banach spaces. Zbl 0962.47031 Castaing, Charles; Ibrahim, Ahmed Gamal 5 2000 Dunford-Pettis-types theorem and convergences in set-valued integration. Zbl 1004.28006 Castaing, Charles; Saadoune, Mohammed 4 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 3 2000 Convergences in \(L^1_X(\mu)\). Zbl 0937.46024 Castaing, Charles; Guessous, Mohamed 1 1999 Convergence in Pettis norm under extreme point condition. Zbl 0965.46028 Amrani, Allal; Castaing, Charles; Valadier, Michel 3 1998 Weak convergence using Young measures. Zbl 0939.28002 Castaing, Charles; Valadier, Michel 2 1998 Topological properties of solution sets for sweeping processes with delay. Zbl 0895.34053 Castaing, C.; Monteiro Marques, M. D. P. 9 1997 Compactness and discretization methods for differential inclusions and evolution problems. Zbl 0876.34014 Benabdellah, H.; Castaing, C.; Salvadori, A. 8 1997 Convergence of conditional expectations for unbounded closed convex random sets. Zbl 0902.60003 Castaing, Charles; Ezzaki, Fatima; Hess, Christian 7 1997 Weak compactness in Pettis integration. Zbl 0902.46022 Amrani, Allal; Castaing, Charles 5 1997 SLLN for convex random sets and random lower semicontinuous integrands. Zbl 0905.60019 Castaing, Charles; Ezzaki, Fatima 2 1997 Weak compactness criteria in set-valued integration. Zbl 0918.28014 Castaing, Charles 1 1997 Evolution problems associated with nonconvex closed moving sets with bounded variation. Zbl 0848.35052 Castaing, Charles; Monteiro Marques, Manuel D. P. 28 1996 Nonconvex sweeping process. Zbl 0873.34050 Benabdellah, H.; Castaing, C.; Salvadori, A.; Syam, A. 8 1996 Property \((H)\) in Köthe-Bochner spaces. Zbl 0871.46013 Castaing, Charles; Płuciennik, Ryszard 3 1996 BV periodic solutions of an evolution problem associated with continuous moving convex sets. Zbl 0845.35142 Castaing, Charles; Monteiro Marques, Manuel D. P. 24 1995 Periodic solutions of evolution problems associated with a moving convex set. Zbl 0844.34017 Castaing, Charles; Marques, Manuel D. P. Monteiro 7 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. 5 1995 Periodic solutions of evolution problem associated with moving convex sets. Zbl 0854.35134 Castaing, Charles; Monteiro Marques, Manuel D. P. 2 1995 Denting points in Köthe-Bochner spaces. Zbl 0824.46041 Castaing, Charles; Pluciennik, Ryszard 4 1994 Property \((H)\) in Köthe-Bochner spaces. Zbl 0824.46042 Castaing, Charles; Pluciennik, Ryszard 3 1994 A multivalued version of Scorza-Dragoni theorem with an application to normal integrands. Zbl 0882.28010 Castaing, Charles; Monteiro Marques, Manuel D. P. 2 1994 Epiconvergence of integral functionals on the space of vector measures. Zbl 0821.49014 Castaing, Charles; Jalby, Vincent 1 1994 Evolution equations governed by the sweeping process. Zbl 0813.34018 Castaing, C.; Dúc Hā, Trúóng Xuân; Valadier, M. 56 1993 Multivalued differential equations on closed convex sets in Banach spaces. Zbl 0809.34025 Castaing, C.; Moussaoui, M.; Syam, A. 8 1993 Variational inequalities for integrand martingales and additive random sequences. Zbl 0886.60023 Castaing, C.; Ezzaki, F. 2 1993 Applications of the method of compactness and decomposition: minimization, convergence of martingales, multivalued Fatou lemma. (Méthode de compacité et de décomposition applications: minimisation, convergence des martingales, lemma de Fatou multivoque.) Zbl 0790.28007 Castaing, Charles 1 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. 14 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 2 1992 Variational inequalities for integrands martingales and additive random sequences. Zbl 1267.49008 Castaing, C.; Ezzaki, F. 2 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. 1 1992 Lemme de Fatou multivoque. (Multivalued Fatou lemma). Zbl 0733.28005 Castaing, C.; Clauzure, P. 2 1991 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 1 1991 Kolmogorov and Riesz type criteria of compactness in Köthe spaces of vector valued functions. Zbl 0714.46025 Castaing, C.; Kamińska, A. 2 1990 Some convergence results for multivalued martingales in the limit. Zbl 0735.49009 Castaing, C.; Ezzaki, F. 2 1990 Quelques résultats de convergence des suites adaptées. (Some convergence results on adapted sequences). Zbl 0725.60038 Castaing, C. 5 1989 Quelques problèmes d’évolution du second ordre. (Some problems of evolution of second order). Zbl 0676.47029 Castaing, C. 16 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. 1 1988 Quelques résultats de convergence dans les inclusions différentielles. (Some results on convergence in differential inclusions). Zbl 0715.34024 Castaing, Charles 3 1987 Quelques résultats de convergence des suites adaptées. (Some convergence results on adapted sequences). Zbl 0655.60040 Castaing, C. 2 1987 Compacité dans l’espace des mesures de probabilité de transition. (Compactness in spaces of transition probability measures). Zbl 0705.46012 Castaing, C. 2 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 6 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. 2 1985 A new class of evolution equation in a Hilbert space. Zbl 0576.49023 Castaing, C. 4 1984 Semicontinuité des fonctionnelles intégrales. Zbl 0557.49005 Castaing, Charles; Clauzure, Paulette 2 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. 1 1983 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,399 Authors 43 Ntouyas, Sotiris K. 37 Ahmad, Bashir 37 Castaing, Charles 28 Balder, Erik J. 28 Thibault, Lionel 27 Papageorgiou, Nikolaos S. 22 Azzam-Laouir, Dalila 20 Al-saedi, Ahmed Eid Salem 20 Benchohra, Mouffak 18 Lu, Kening 16 Beer, Gerald Alan 16 Penot, Jean-Paul 16 Satco, Bianca-Renata 15 Agarwal, Ravi P. 15 Ouahab, Abdelghani 15 Schmalfuß, Björn 14 Khan, Mohammed Ali 14 Saïdi, Soumia 13 Monteiro Marques, Manuel D. P. 13 Pérez-Aros, Pedro 13 Sambucini, Anna Rita 13 Savaré, Giuseppe 12 Di Piazza, Luisa 12 Haddad, Tahar 12 Kamenskiĭ, Mikhaĭl Igor’evich 12 Valadier, Michel 12 Vilches, Emilio 11 De Blasi, Francesco Saverio 11 Yarou, Mustapha Fateh 10 Adly, Samir 10 Ezzaki, Fatima 10 Ibrahim, Ahmed Gamal 10 Mordukhovich, Boris S. 10 Musial, Kazimierz 10 Pianigiani, Giulio 10 Shen, Jun 10 Tolstonogov, Aleksandr Aleksandrovich 9 Affane, Doria 9 Ambrosio, Luigi 9 Candeloro, Domenico 9 Henderson, Johnny Lee 9 Noguchi, Mitsunori 9 Obukhovskiĭ, Valeriĭ Vladimirovich 9 Quang, Nguyen Van 8 Bouchitté, Guy 8 Caraballo Garrido, Tomás 8 Garrido-Atienza, María José 8 Hantoute, Abderrahim 8 Hess, Christian 8 Himmelberg, C. J. 8 Lorenz, Thomas 8 Michaille, Gérard 8 Nacry, Florent 8 Podczeck, Konrad 8 Raynaud de Fitte, Paul 8 Rossi, Riccarda 8 Sun, Yeneng 8 van Vleck, Fred Scott 8 Yannelis, Nicholas Constantine 7 Bounkhel, Messaoud 7 Cernea, Aurelian 7 Cichoń, Mieczysław 7 Ding, Xie Ping 7 Katzourakis, Nikolaos I. 7 Kloeden, Peter Eris 7 Langa, Jose’ Antonio 7 Page, Frank H. jun. 7 Park, Choonkil 7 Valero, José 7 Xu, Huifu 6 Artstein, Zvi 6 Attouch, Hedy 6 Cellina, Arrigo 6 Chen, Ercai 6 Colombo, Giovanni 6 Flandoli, Franco 6 Frankowska, Hélène 6 Jourani, Abderrahim 6 Li, Shoumei 6 Malinowski, Marek T. 6 Marraffa, Valeria 6 Maruyama, Toru 6 Neamţu, Alexandra 6 Nguyêñ Hôǹg Thái 6 Nowakowski, Andrzej 6 Roberto, Lucchetti E. 6 Zeng, Caibin 6 Zhao, Junyilang 5 Abbas, Said 5 Abdo, Mohammed Salem 5 Appell, Jürgen 5 Ardjouni, Abdelouaheb 5 Cârjă, Ovidiu 5 Carmona, Guilherme 5 Cubiotti, Paolo 5 Damlamian, Alain 5 Duan, Jinqiao 5 Gil, María Angeles 5 Giner, Emmanuel 5 Godet-Thobie, Christiane ...and 1,299 more Authors all top 5 Cited in 313 Serials 143 Journal of Mathematical Analysis and Applications 66 Journal of Differential Equations 43 Fuzzy Sets and Systems 43 Journal of Optimization Theory and Applications 39 Set-Valued and Variational Analysis 33 Annali di Matematica Pura ed Applicata. 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