Edit Profile (opens in new tab) Castaing, Charles Compute Distance To: Compute 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 all top 5 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 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 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0346.46038Castaing, C.; Valadier, M. 1,003 1977 Sur les multi-applications mesurables. Zbl 0153.08501Castaing, C. 69 1967 Young measures on topological spaces. With applications in control theory and probability theory. Zbl 1067.28001Castaing, Charles; Raynaud de Fitte, Paul; Valadier, Michel 68 2004 Evolution equations governed by the sweeping process. Zbl 0813.34018Castaing, C.; Dúc Hā, Trúóng Xuân; Valadier, M. 48 1993 Some contributions to nonconvex sweeping process. Zbl 1185.34017Castaing, C.; Ibrahim, A. G.; Yarou, M. 26 2009 Evolution problems associated with nonconvex closed moving sets with bounded variation. Zbl 0848.35052Castaing, Charles; Monteiro Marques, Manuel D. P. 23 1996 Sur les équations différentielles multivoques. Zbl 0143.31102Castaing, C. 22 1966 BV periodic solutions of an evolution problem associated with continuous moving convex sets. Zbl 0845.35142Castaing, Charles; Monteiro Marques, Manuel D. P. 19 1995 Le théorème de Dunford-Pettis généralise. Zbl 0184.40203Castaing, C. 17 1969 Equations différentielles multivoques dans les espaces vectoriels localement convexes. Zbl 0186.21004Castaing, C.; Valadier, M. 17 1969 Functional evolution equations governed by nonconvex sweeping process. Zbl 0999.34062Castaing, Charles; Salvadori, Anna; Thibault, Lionel 14 2001 Some problems in optimal control governed by the sweeping process. Zbl 1303.49002Castaing, C.; Monteiro Marques, M. D. P.; Raynaud De Fitte, P. 12 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 0778.46016Amrani, A.; Castaing, C.; Valadier, M. 12 1992 Three boundary value problems for second order differential inclusions in Banach spaces. Zbl 1111.34303Azzam, Dalila Laouir; Castaing, Charles; Thibault, Lionel 12 2002 Some various convergence results for multivalued martingales. Zbl 1202.60064Akhiat, Fettah; Castaing, Charles; Ezzaki, Fatima 12 2010 Version aléatoire du problème de rafle par un convexe variable. Zbl 0268.35013Castaing, Charles 12 1973 Une nouvelle extension du théorème de Dragoni-Scorza. Zbl 0199.49302Castaing, Charles 11 1970 Quelques problèmes d’évolution du second ordre. (Some problems of evolution of second order). Zbl 0676.47029Castaing, C. 11 1988 Perturbed evolution problems with continuous bounded variation in time and applications. Zbl 1403.34046Azzam-Laouir, Dalila; Castaing, Charles; Monteiro Marques, M. D. P. 11 2018 A Skorokhod problem governed by a closed convex moving set. Zbl 1350.34048Castaing, C.; Marques, M. D. P. Monteiro; Raynaud De Fitte, P. 10 2016 State dependent sweeping process in \(p\)-uniformly smooth and \(q\)-uniformly convex Banach spaces. Zbl 1262.34072Bounkhel, Messaoud; Castaing, Charles 9 2012 A propos de l’existence des sections séparément mésurables et séparément continues d’une multiapplication séparément mésurable et séparément semicontinue inférieurement. Zbl 0356.46045Castaing, Charles 8 1976 Equations différentielles. Rafle par un convexe aléatoire à variation continue à droite. Zbl 0321.35018Castaing, Charles 8 1976 Quelques résultats de compacite lies à l’intégration. Zbl 0195.40704Castaing, Charles 7 1970 Multivalued differential equations on closed convex sets in Banach spaces. Zbl 0809.34025Castaing, C.; Moussaoui, M.; Syam, A. 7 1993 Periodic solutions of evolution problems associated with a moving convex set. Zbl 0844.34017Castaing, Charles; Marques, Manuel D. P. Monteiro 7 1995 Nonconvex sweeping process. Zbl 0873.34050Benabdellah, H.; Castaing, C.; Salvadori, A.; Syam, A. 7 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 0606.28006Castaing, Charles; Clauzure, Paulette 6 1985 Sur une extension du théorème de Lyapounov. Zbl 0131.13003Castaing, C. 6 1965 Perturbed evolution problems with absolutely continuous variation in time and applications. Zbl 1418.34122Azzam-Laouir, Dalila; Belhoula, Warda; Castaing, Charles; Marques, M. D. P. Monteiro 6 2019 Topological properties of solution sets for sweeping processes with delay. Zbl 0895.34053Castaing, C.; Monteiro Marques, M. D. P. 6 1997 Sur l’existence des sections séparément mésurables et séparément continues d’une multi-application. Zbl 0353.46031Castaing, Charles 6 1975 Existence problems in second order evolution inclusions: discretization and variational approach. Zbl 1173.35302Castaing, C.; Ibrahim, A. G.; Yarou, M. 6 2008 Some problems of measurability related with control theory. (Quelques problèmes de mesurabilité liés à la théorie de la commande.) Zbl 0136.34303Castaing, Charles 5 1966 Evolution equations governed by \(m\)-accretive and subdifferential operators with delay. Zbl 1058.34511Castaing, C.; Faik, L. Aicha; Salvadori, Anna 5 2000 Multi-valued perturbation to evolution problems involving time dependent maximal monotone operators. Zbl 1469.34084Azzam-Laouir, Dalila; Belhoula, Warda; Castaing, Charles; Monteiro Marques, M. D. P. 5 2020 Compactness and discretization methods for differential inclusions and evolution problems. Zbl 0876.34014Benabdellah, H.; Castaing, C.; Salvadori, A. 5 1997 Convergence of conditional expectations for unbounded closed convex random sets. Zbl 0902.60003Castaing, Charles; Ezzaki, Fatima; Hess, Christian 5 1997 Weak compactness in Pettis integration. Zbl 0902.46022Amrani, Allal; Castaing, Charles 5 1997 Solutions continues à droite d’une équation différentielle multivoque avec contrainte sur l’etat. Zbl 0397.34022Castaing, Charles 5 1979 Quelques résultats de convergence des suites adaptées. (Some convergence results on adapted sequences). Zbl 0725.60038Castaing, C. 5 1989 Various convergence results in strong law of large numbers for double array of random sets in Banach spaces. Zbl 1243.60028Castaing, Charles; Nguyen Van Quang; Duong Xuan Giap 4 2012 Denting points in Köthe-Bochner spaces. Zbl 0824.46041Castaing, Charles; Pluciennik, Ryszard 4 1994 Version aléatoire du problème de rafle par un convexe. Zbl 0365.47022Castaing, C. 4 1974 Mosco convergence of strong law of large numbers for double array of closed valued random variables in Banach space. Zbl 1279.60038Castaing, Charles; Van Quang, Nguyen; Giap, Duong Xuan 4 2012 Proximite et mesurabilite . Un théorème de compacite faible. Zbl 0239.49006Castaing, Charles 4 1970 Quelques résultats de convergence dans les inclusions différentielles. (Some results on convergence in differential inclusions). Zbl 0715.34024Castaing, Charles 3 1987 Intégrales convexes duales. Zbl 0252.28004Castaing, Charles 3 1972 Equations différentielles multivoques dans les espaces localement convexes. Zbl 0169.47402Castaing, C.; Valadier, M. 3 1968 Sur une nouvelle extension du théorème de Ljapunov. Zbl 0173.16401Castaing, C. 3 1967 Property \((H)\) in Köthe-Bochner spaces. Zbl 0824.46042Castaing, Charles; Pluciennik, Ryszard 3 1994 Convergence in Pettis norm under extreme point condition. Zbl 0965.46028Amrani, Allal; Castaing, Charles; Valadier, Michel 3 1998 BV solutions of multivalued differential equations on closed moving sets in Banach spaces. Zbl 0836.34015Benabdellah, H.; Castaing, C.; Gamal Ibrahim, M. A. 3 1995 Control problems governed by functional evolution inclusions with Young measures. Zbl 1077.49002Castaing, C.; Jofre, A.; Salvadori, Anna 3 2004 Second-order evolution problems with time-dependent maximal monotone operator and applications. Zbl 1447.47048Castaing, C.; Marques, M. D. P. Monteiro; Raynaud de Fitte, P. 3 2018 A new family of convex weakly compact valued random variables in Banach space and applications to laws of large numbers. Zbl 1230.60008Castaing, Charles; Van Quang, Nguyen; Thuan, Nguyen Tran 3 2012 Property \((H)\) in Köthe-Bochner spaces. Zbl 0871.46013Castaing, Charles; Płuciennik, Ryszard 3 1996 Evolution inclusions with pln functions and application to viscosity and control. Zbl 1127.35025Castaing, C.; Marcellin, S. 3 2007 On the integration of fuzzy level sets. Zbl 1331.28033Castaing, Charles; Godet-Thobie, Christiane; Hoang, Thi Duyen; Raynaud de Fitte, P. 3 2015 Théorème de Hoffmann-Jörgensen et application aux AMARTs multivoques. (The theorem of Hoffmann-Jörgensen and application to multivalued AMARTs). Zbl 0628.60059Castaing, C.; Touzani, A.; Valadier, M. 2 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 0768.46002Amrani, Allal; Castaing, Charles; Valadier, Michel 2 1992 Sur le graphe d’une multi-application souslinienne (mesurable). Zbl 0217.09203Castaing, C. 2 1969 Compacité dans l’espace des mesures de probabilité de transition. (Compactness in spaces of transition probability measures). Zbl 0705.46012Castaing, C. 2 1986 A multivalued version of Scorza-Dragoni theorem with an application to normal integrands. Zbl 0882.28010Castaing, Charles; Monteiro Marques, Manuel D. P. 2 1994 Functional differential inclusion on closed sets in Banach spaces. Zbl 0962.47031Castaing, Charles; Ibrahim, Ahmed Gamal 2 2000 Weak convergence using Young measures. Zbl 0939.28002Castaing, Charles; Valadier, Michel 2 1998 Periodic solutions of evolution problem associated with moving convex sets. Zbl 0854.35134Castaing, Charles; Monteiro Marques, Manuel D. P. 2 1995 Second order differential inclusions with \(m\)-points boundary conditions. Zbl 1237.34023Castaing, Charles; Le Xuan Truong 2 2011 Rafle par un convexe aléatoire à variation continue à droite. Zbl 0353.46032Castaing, Charles 2 1975 On the fiber product of Young measures with application to a control problem with measures. Zbl 1137.28300Castaing, Charles; Raynaud de Fitte, Paul 2 2004 Convergences in a dual space with applications to Fatou lemma. Zbl 1191.28008Castaing, Charles; Saadoune, Mohammed 2 2009 Tightness conditions and integrability of the sequential weak upper limit of a sequence of multifunctions. Zbl 1188.28012Castaing, Charles; Hess, Christian; Saadoune, Mohamed 2 2008 Some variational convergence results with applications to evolution inclusions. Zbl 1126.49004Castaing, Charles; Raynaud de Fitte, Paul; Salvadori, Anna 2 2006 Convergence of multivalued pramarts. Zbl 1194.28015Castaing, Charles; Ezzaki, Fatima; Tahri, Khalid 2 2010 Compacite faible, decomposabilite dans \(L^1_E\) et dans certains espaces du type Köthe-Orlicz. Zbl 0419.46026Castaing, Charles 2 1980 Variational inequalities for integrands martingales and additive random sequences. Zbl 1267.49008Castaing, C.; Ezzaki, F. 2 1992 Semicontinuité des fonctionnelles intégrales. Zbl 0557.49005Castaing, Charles; Clauzure, Paulette 2 1984 On fractional differential inclusions with nonlocal boundary conditions. Zbl 1428.34012Castaing, Charles; Godet-Thobie, C.; Phung, Phan D.; Truong, Le X. 2 2019 Law of large numbers and ergodic theorem for convex weak star compact valued Gelfand-integrable mappings. Zbl 1356.60049Castaing, C.; Raynaud de Fitte, P. 2 2013 On a fractional differential inclusion with integral boundary condition in Banach spaces. Zbl 1343.34147Castaing, Charles; Truong, Le Xuan; Phung, Phan Dinh 2 2016 A new class of evolution equation in a Hilbert space. Zbl 0576.49023Castaing, C. 2 1984 Some applications of Birkhoff-Kingman ergodic theorem. Zbl 1296.28014Castaing, Charles; Lavie, Marc 1 2012 Décomposition et convergence des martingales à la limite à valeurs convexes faiblement compactes. (Decomposition and Mosco convergence of martingales in the limit). Zbl 0739.60035Castaing, Charles; Ezzaki, Fatima 1 1991 Some convergence results for multivalued martingales in the limit. Zbl 0735.49009Castaing, C.; Ezzaki, F. 1 1990 Kolmogorov and Riesz type criteria of compactness in Köthe spaces of vector valued functions. Zbl 0714.46025Castaing, C.; Kamińska, A. 1 1990 Un résultat d’existence de sélection mesurable et compacité forte de l’intégrale d’une multiapplication dans un Banach non nécessairement séparable. Zbl 0551.28013Castaing, C. 1 1983 Multi-applications measurables, généralisation du principe de bang-bang. Zbl 0155.10202Castaing, C. 1 1967 Some theorems in measure theory and generalized dynamical systems defined by contingent equations. Zbl 0192.52904Castaing, C. 1 1969 Le théorème de Dunford-Pettis généralisé. Zbl 0203.44302Castaing, C. 1 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 0223.28013Castaing, Charles 1 1971 Quelques résultats de convergence des suites adaptées. (Some convergence results on adapted sequences). Zbl 0655.60040Castaing, C. 1 1987 Version multivoque et vectorielle d’un résultat de Brooks-Chacon. (Multivalued and vector version of a result of Brooks-Chacon). Zbl 0698.46025Castaing, C.; Clauzure, P. 1 1988 Epiconvergence of integral functionals on the space of vector measures. Zbl 0821.49014Castaing, Charles; Jalby, Vincent 1 1994 Weak compactness and convergences in \(L_{E'}^1[E]\). Zbl 1019.46027Benabdellah, Houcine; Castaing, Charles 1 2001 Optimal control problems governed by a second order ordinary differential equation with \(m\)-point boundary condition. Zbl 1319.49001Castaing, Charles; Godet-Thobie, Christiane; Truong, Le Xuan; Satco, Bianca 1 2014 On a class of evolution inclusions governed by a nonconvex sweeping process. Zbl 1111.49007Castaing, C.; Syam, A. 1 2003 Evolution problems with time-dependent subdifferential operators. Zbl 1448.34125Castaing, Charles; Marques, Manuel D. P. Monteiro; Saïdi, Soumia 1 2020 Weak star convergence of martingales in a dual space. Zbl 1238.28011Castaing, C.; Ezzaki, F.; Lavie, M.; Saadoune, M. 1 2011 Variational inequalities for integrand martingales and additive random sequences. Zbl 0886.60023Castaing, C.; Ezzaki, F. 1 1993 Weak compactness criteria in set-valued integration. Zbl 0918.28014Castaing, Charles 1 1997 Multi-valued perturbation to evolution problems involving time dependent maximal monotone operators. Zbl 1469.34084Azzam-Laouir, Dalila; Belhoula, Warda; Castaing, Charles; Monteiro Marques, M. D. P. 5 2020 Evolution problems with time-dependent subdifferential operators. Zbl 1448.34125Castaing, Charles; Marques, Manuel D. P. Monteiro; Saïdi, Soumia 1 2020 Perturbed evolution problems with absolutely continuous variation in time and applications. Zbl 1418.34122Azzam-Laouir, Dalila; Belhoula, Warda; Castaing, Charles; Marques, M. D. P. Monteiro 6 2019 On fractional differential inclusions with nonlocal boundary conditions. Zbl 1428.34012Castaing, Charles; Godet-Thobie, C.; Phung, Phan D.; Truong, Le X. 2 2019 Second-order time and state-dependent sweeping process in Hilbert space. Zbl 1423.34079Aliouane, Fatine; Azzam-Laouir, Dalila; Castaing, Charles; Monteiro Marques, Manuel D. P. 1 2019 Perturbed evolution problems with continuous bounded variation in time and applications. Zbl 1403.34046Azzam-Laouir, Dalila; Castaing, Charles; Monteiro Marques, M. D. P. 11 2018 Second-order evolution problems with time-dependent maximal monotone operator and applications. Zbl 1447.47048Castaing, C.; Marques, M. D. P. Monteiro; Raynaud de Fitte, P. 3 2018 Some problems in second order evolution inclusions with boundary condition: a variational approach. Zbl 1400.34104Castaing, Charles; Le Xuan, Truong; Raynaud de Fitte, Paul; Salvadori, Anna 1 2017 A Skorokhod problem governed by a closed convex moving set. Zbl 1350.34048Castaing, C.; Marques, M. D. P. Monteiro; Raynaud De Fitte, P. 10 2016 On a fractional differential inclusion with integral boundary condition in Banach spaces. Zbl 1343.34147Castaing, Charles; Truong, Le Xuan; Phung, Phan Dinh 2 2016 On a fractional differential inclusion in Banach space under weak compactness condition. Zbl 1383.34004Castaing, C.; Godet-Thobie, C.; Truong, L. X.; Mostefai, F. Z. 1 2016 On the integration of fuzzy level sets. Zbl 1331.28033Castaing, Charles; Godet-Thobie, Christiane; Hoang, Thi Duyen; Raynaud de Fitte, P. 3 2015 Some problems in optimal control governed by the sweeping process. Zbl 1303.49002Castaing, C.; Monteiro Marques, M. D. P.; Raynaud De Fitte, P. 12 2014 Optimal control problems governed by a second order ordinary differential equation with \(m\)-point boundary condition. Zbl 1319.49001Castaing, Charles; Godet-Thobie, Christiane; Truong, Le Xuan; Satco, Bianca 1 2014 Law of large numbers and ergodic theorem for convex weak star compact valued Gelfand-integrable mappings. Zbl 1356.60049Castaing, C.; Raynaud de Fitte, P. 2 2013 Bolza, relaxation and viscosity problems governed by a second order differential equation. Zbl 1271.49002Castaing, Charles; Truong, Le Xuan 1 2013 State dependent sweeping process in \(p\)-uniformly smooth and \(q\)-uniformly convex Banach spaces. Zbl 1262.34072Bounkhel, Messaoud; Castaing, Charles 9 2012 Various convergence results in strong law of large numbers for double array of random sets in Banach spaces. Zbl 1243.60028Castaing, Charles; Nguyen Van Quang; Duong Xuan Giap 4 2012 Mosco convergence of strong law of large numbers for double array of closed valued random variables in Banach space. Zbl 1279.60038Castaing, Charles; Van Quang, Nguyen; Giap, Duong Xuan 4 2012 A new family of convex weakly compact valued random variables in Banach space and applications to laws of large numbers. Zbl 1230.60008Castaing, Charles; Van Quang, Nguyen; Thuan, Nguyen Tran 3 2012 Some applications of Birkhoff-Kingman ergodic theorem. Zbl 1296.28014Castaing, Charles; Lavie, Marc 1 2012 Some topological properties of solution sets in a second order differential inclusion with \(m\)-point boundary conditions. Zbl 1258.34138Castaing, Charles; Truong, Le Xuan 1 2012 Second order differential inclusions with \(m\)-points boundary conditions. Zbl 1237.34023Castaing, Charles; Le Xuan Truong 2 2011 Weak star convergence of martingales in a dual space. Zbl 1238.28011Castaing, C.; Ezzaki, F.; Lavie, M.; Saadoune, M. 1 2011 Some various convergence results for normal integrands. Zbl 1341.28003Castaing, Charles 1 2011 Some various convergence results for multivalued martingales. Zbl 1202.60064Akhiat, Fettah; Castaing, Charles; Ezzaki, Fatima 12 2010 Convergence of multivalued pramarts. Zbl 1194.28015Castaing, Charles; Ezzaki, Fatima; Tahri, Khalid 2 2010 A variational convergence problem with antiperiodic boundary conditions. Zbl 1214.45005Castaing, C.; Haddad, T.; Salvadori, A. 1 2010 Some contributions to nonconvex sweeping process. Zbl 1185.34017Castaing, C.; Ibrahim, A. G.; Yarou, M. 26 2009 Convergences in a dual space with applications to Fatou lemma. Zbl 1191.28008Castaing, Charles; Saadoune, Mohammed 2 2009 Existence problems in second order evolution inclusions: discretization and variational approach. Zbl 1173.35302Castaing, C.; Ibrahim, A. G.; Yarou, M. 6 2008 Tightness conditions and integrability of the sequential weak upper limit of a sequence of multifunctions. Zbl 1188.28012Castaing, Charles; Hess, Christian; Saadoune, Mohamed 2 2008 Relaxation and Bolza problem involving a second order evolution inclusion. Zbl 1145.49019Castaing, C.; Haddad, T. 1 2008 Evolution inclusions with pln functions and application to viscosity and control. Zbl 1127.35025Castaing, C.; Marcellin, S. 3 2007 Some variational convergence results with applications to evolution inclusions. Zbl 1126.49004Castaing, Charles; Raynaud de Fitte, Paul; Salvadori, Anna 2 2006 Some variational convergence results for a class of evolution inclusions of second order using Young measure. Zbl 1145.49005Castaing, Charles; Raynaud de Fitte, Paul; Salvadori, Anna 1 2005 Young measures on topological spaces. With applications in control theory and probability theory. Zbl 1067.28001Castaing, Charles; Raynaud de Fitte, Paul; Valadier, Michel 68 2004 Control problems governed by functional evolution inclusions with Young measures. Zbl 1077.49002Castaing, C.; Jofre, A.; Salvadori, Anna 3 2004 On the fiber product of Young measures with application to a control problem with measures. Zbl 1137.28300Castaing, Charles; Raynaud de Fitte, Paul 2 2004 On a class of evolution inclusions governed by a nonconvex sweeping process. Zbl 1111.49007Castaing, C.; Syam, A. 1 2003 Three boundary value problems for second order differential inclusions in Banach spaces. Zbl 1111.34303Azzam, Dalila Laouir; Castaing, Charles; Thibault, Lionel 12 2002 Functional evolution equations governed by nonconvex sweeping process. Zbl 0999.34062Castaing, Charles; Salvadori, Anna; Thibault, Lionel 14 2001 Weak compactness and convergences in \(L_{E'}^1[E]\). Zbl 1019.46027Benabdellah, Houcine; Castaing, Charles 1 2001 Evolution equations governed by \(m\)-accretive and subdifferential operators with delay. Zbl 1058.34511Castaing, C.; Faik, L. Aicha; Salvadori, Anna 5 2000 Functional differential inclusion on closed sets in Banach spaces. Zbl 0962.47031Castaing, Charles; Ibrahim, Ahmed Gamal 2 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 0964.60023Castaing, Charles; Raynaud de Fitte, Paul 1 2000 Dunford-Pettis-types theorem and convergences in set-valued integration. Zbl 1004.28006Castaing, Charles; Saadoune, Mohammed 1 2000 Convergence in Pettis norm under extreme point condition. Zbl 0965.46028Amrani, Allal; Castaing, Charles; Valadier, Michel 3 1998 Weak convergence using Young measures. Zbl 0939.28002Castaing, Charles; Valadier, Michel 2 1998 Topological properties of solution sets for sweeping processes with delay. Zbl 0895.34053Castaing, C.; Monteiro Marques, M. D. P. 6 1997 Compactness and discretization methods for differential inclusions and evolution problems. Zbl 0876.34014Benabdellah, H.; Castaing, C.; Salvadori, A. 5 1997 Convergence of conditional expectations for unbounded closed convex random sets. Zbl 0902.60003Castaing, Charles; Ezzaki, Fatima; Hess, Christian 5 1997 Weak compactness in Pettis integration. Zbl 0902.46022Amrani, Allal; Castaing, Charles 5 1997 Weak compactness criteria in set-valued integration. Zbl 0918.28014Castaing, Charles 1 1997 SLLN for convex random sets and random lower semicontinuous integrands. Zbl 0905.60019Castaing, Charles; Ezzaki, Fatima 1 1997 Evolution problems associated with nonconvex closed moving sets with bounded variation. Zbl 0848.35052Castaing, Charles; Monteiro Marques, Manuel D. P. 23 1996 Nonconvex sweeping process. Zbl 0873.34050Benabdellah, H.; Castaing, C.; Salvadori, A.; Syam, A. 7 1996 Property \((H)\) in Köthe-Bochner spaces. Zbl 0871.46013Castaing, Charles; Płuciennik, Ryszard 3 1996 BV periodic solutions of an evolution problem associated with continuous moving convex sets. Zbl 0845.35142Castaing, Charles; Monteiro Marques, Manuel D. P. 19 1995 Periodic solutions of evolution problems associated with a moving convex set. Zbl 0844.34017Castaing, Charles; Marques, Manuel D. P. Monteiro 7 1995 BV solutions of multivalued differential equations on closed moving sets in Banach spaces. Zbl 0836.34015Benabdellah, H.; Castaing, C.; Gamal Ibrahim, M. A. 3 1995 Periodic solutions of evolution problem associated with moving convex sets. Zbl 0854.35134Castaing, Charles; Monteiro Marques, Manuel D. P. 2 1995 Denting points in Köthe-Bochner spaces. Zbl 0824.46041Castaing, Charles; Pluciennik, Ryszard 4 1994 Property \((H)\) in Köthe-Bochner spaces. Zbl 0824.46042Castaing, Charles; Pluciennik, Ryszard 3 1994 A multivalued version of Scorza-Dragoni theorem with an application to normal integrands. Zbl 0882.28010Castaing, Charles; Monteiro Marques, Manuel D. P. 2 1994 Epiconvergence of integral functionals on the space of vector measures. Zbl 0821.49014Castaing, Charles; Jalby, Vincent 1 1994 Evolution equations governed by the sweeping process. Zbl 0813.34018Castaing, C.; Dúc Hā, Trúóng Xuân; Valadier, M. 48 1993 Multivalued differential equations on closed convex sets in Banach spaces. Zbl 0809.34025Castaing, C.; Moussaoui, M.; Syam, A. 7 1993 Variational inequalities for integrand martingales and additive random sequences. Zbl 0886.60023Castaing, C.; Ezzaki, F. 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 0778.46016Amrani, A.; Castaing, C.; Valadier, M. 12 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 0768.46002Amrani, Allal; Castaing, Charles; Valadier, Michel 2 1992 Variational inequalities for integrands martingales and additive random sequences. Zbl 1267.49008Castaing, C.; Ezzaki, F. 2 1992 BV solutions of multivalued differential equations on closed moving sets in Banach spaces. Zbl 1267.26003Benabdellah, H.; Castaing, C.; Gamal Ibrahim, M. A. 1 1992 Décomposition et convergence des martingales à la limite à valeurs convexes faiblement compactes. (Decomposition and Mosco convergence of martingales in the limit). Zbl 0739.60035Castaing, Charles; Ezzaki, Fatima 1 1991 Lemme de Fatou multivoque. (Multivalued Fatou lemma). Zbl 0733.28005Castaing, C.; Clauzure, P. 1 1991 Some convergence results for multivalued martingales in the limit. Zbl 0735.49009Castaing, C.; Ezzaki, F. 1 1990 Kolmogorov and Riesz type criteria of compactness in Köthe spaces of vector valued functions. Zbl 0714.46025Castaing, C.; Kamińska, A. 1 1990 Quelques résultats de convergence des suites adaptées. (Some convergence results on adapted sequences). Zbl 0725.60038Castaing, C. 5 1989 Quelques problèmes d’évolution du second ordre. (Some problems of evolution of second order). Zbl 0676.47029Castaing, C. 11 1988 Version multivoque et vectorielle d’un résultat de Brooks-Chacon. (Multivalued and vector version of a result of Brooks-Chacon). Zbl 0698.46025Castaing, C.; Clauzure, P. 1 1988 Quelques résultats de convergence dans les inclusions différentielles. (Some results on convergence in differential inclusions). Zbl 0715.34024Castaing, Charles 3 1987 Quelques résultats de convergence des suites adaptées. (Some convergence results on adapted sequences). Zbl 0655.60040Castaing, C. 1 1987 Compacité dans l’espace des mesures de probabilité de transition. (Compactness in spaces of transition probability measures). Zbl 0705.46012Castaing, 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 0606.28006Castaing, 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 0628.60059Castaing, C.; Touzani, A.; Valadier, M. 2 1985 Semicontinuité des fonctionnelles intégrales. Zbl 0557.49005Castaing, Charles; Clauzure, Paulette 2 1984 A new class of evolution equation in a Hilbert space. Zbl 0576.49023Castaing, C. 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 0551.28013Castaing, C. 1 1983 Solutions continues à droite d’un problème d’évolution dans C(X) et dans les espaces hilbertiens. Zbl 0574.34043Castaing, Charles 1 1982 Compacite faible, decomposabilite dans \(L^1_E\) et dans certains espaces du type Köthe-Orlicz. Zbl 0419.46026Castaing, Charles 2 1980 Solutions continues à droite d’une équation différentielle multivoque avec contrainte sur l’etat. Zbl 0397.34022Castaing, Charles 5 1979 Convex analysis and measurable multifunctions. Zbl 0346.46038Castaing, C.; Valadier, M. 1,003 1977 Représentation intégrale et décomposition de formes sous-linéaires continues sur un espace vectoriel norme decomposable de fonctions vectorielles mesurables. Zbl 0386.46029Castaing, Charles; Clauzure, Paulette 1 1977 A propos de l’existence des sections séparément mésurables et séparément continues d’une multiapplication séparément mésurable et séparément semicontinue inférieurement. Zbl 0356.46045Castaing, Charles 8 1976 Equations différentielles. Rafle par un convexe aléatoire à variation continue à droite. Zbl 0321.35018Castaing, Charles 8 1976 Sur l’existence des sections séparément mésurables et séparément continues d’une multi-application. Zbl 0353.46031Castaing, Charles 6 1975 Rafle par un convexe aléatoire à variation continue à droite. Zbl 0353.46032Castaing, Charles 2 1975 Problèmes de mesurabilite lies aux opérateurs monotones. Zbl 0355.47034Castaing, Charles 1 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 0315.28006Castaing, Charles 1 1975 Version aléatoire du problème de rafle par un convexe. Zbl 0365.47022Castaing, C. 4 1974 ...and 19 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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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. 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Series S 3 AIMS Mathematics 2 Lithuanian Mathematical Journal ...and 169 more Serials all top 5 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) Citations by Year