Edit Profile (opens in new tab) Cernea, Aurelian Co-Author Distance Author ID: cernea.aurelian Published as: Cernea, Aurelian; Cernea, A. Documents Indexed: 221 Publications since 1994 Reviewing Activity: 71 Reviews Co-Authors: 8 Co-Authors with 21 Joint Publications 107 Co-Co-Authors all top 5 Co-Authors 200 single-authored 6 Mirică, Ştefan 4 Lupulescu, Vasile 3 Georgescu, Carmina 3 Staicu, Vasile 2 Frankowska, Hélène 1 Boboc, Christinel 1 Căpraru, Irina 1 Nedelcu, Sorin all top 5 Serials 18 Mathematical Reports 16 Revue Roumaine de Mathématiques Pures et Appliquées 12 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 9 Analele Universității București. Matematică 9 Mathematica 8 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 7 Electronic Journal of Qualitative Theory of Differential Equations 6 Libertas Mathematica. New Series 5 Studii și Cercetări Matematice 5 Fractional Calculus & Applied Analysis 5 Fixed Point Theory 4 Studia Universitatis Babeș-Bolyai. Mathematica 4 Communications on Applied Nonlinear Analysis 4 Discussiones Mathematicae. Differential Inclusions, Control and Optimization 4 Annals of the University of Bucharest. Mathematical Series 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 3 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 3 Nonlinear Analysis Forum 3 Surveys in Mathematics and its Applications 3 ROMAI Journal 3 Bulletin of the Transilvania University of Brașov. Series III. Mathematics, Informatics, Physics 3 Journal of Fractional Calculus and Applications 3 Fractional Differential Calculus 2 Journal of Mathematical Analysis and Applications 2 Archivum Mathematicum 2 Commentationes Mathematicae Universitatis Carolinae 2 Demonstratio Mathematica 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Mathematica Bohemica 2 PU.M.A. Pure Mathematics and Applications 2 Mathematical Communications 2 International Journal of Evolution Equations 2 Journal of Applied Nonlinear Dynamics 1 Czechoslovak Mathematical Journal 1 Fasciculi Mathematici 1 Le Matematiche 1 Publicationes Mathematicae Debrecen 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 Acta Mathematica Hungarica 1 Panamerican Mathematical Journal 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Set-Valued Analysis 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Memoirs on Differential Equations and Mathematical Physics 1 Filomat 1 NoDEA. Nonlinear Differential Equations and Applications 1 Opuscula Mathematica 1 Arab Journal of Mathematical Sciences 1 Nonlinear Studies 1 Differential Equations and Dynamical Systems 1 Discrete Dynamics in Nature and Society 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Journal of Nonlinear and Convex Analysis 1 Nonlinear Functional Analysis and Applications 1 Journal of Systems Science and Complexity 1 Applied Mathematics E-Notes 1 Portugaliae Mathematica. Nova Série 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Applied Mathematics and Computing 1 Miskolc Mathematical Notes 1 Cubo 1 Carpathian Journal of Mathematics 1 Atti del Seminario Matematico e Fisico dell’ Università di Modena e Reggio Emilia 1 Communications in Mathematical Analysis 1 International Journal of Modern Mathematics 1 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică 1 Journal of Nonlinear Science and Applications 1 Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity 1 Differential Equations and Applications 1 Bulletin of Mathematical Analysis and Applications 1 Commentationes Mathematicae 1 Journal of Nonlinear Evolution Equations and Applications 1 Journal of Nonlinear Analysis and Optimization: Theory & Applications 1 International Journal of Analysis and Applications 1 Gulf Journal of Mathematics 1 Journal of Nonlinear and Variational Analysis 1 Applied Analysis and Optimization all top 5 Fields 173 Ordinary differential equations (34-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 40 Operator theory (47-XX) 33 Integral equations (45-XX) 28 Systems theory; control (93-XX) 27 Real functions (26-XX) 11 Partial differential equations (35-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 249 times in 168 Documents Cited by ▼ Year ▼ A connection between the maximum principle and dynamic programming for constrained control problems. Zbl 1085.49032Cernea, Aurelian; Frankowska, Hélène 27 2005 A note on the existence of solutions for some boundary value problems of fractional differential inclusions. Zbl 1281.34019Cernea, Aurelian 22 2012 Continuous version of Filippov’s theorem for fractional differential inclusions. Zbl 1186.34010Cernea, Aurelian 14 2010 On the existence of solutions for nonconvex hyperbolic differential inclusions. Zbl 1193.35003Cernea, Aurelian 12 2010 Some second-order necessary conditions for nonconvex hyperbolic differential inclusion problems. Zbl 0971.49013Cernea, Aurelian 11 2001 On the existence of solutions for fractional differential inclusions with anti-periodic boundary conditions. Zbl 1302.34004Cernea, Aurelian 10 2012 On a multi point boundary value problem for a fractional order differential inclusion. Zbl 1262.34006Cernea, Aurelian 9 2013 Filippov lemma for a class of Hadamard-type fractional differential inclusions. Zbl 1310.45008Cernea, Aurelian 9 2015 On the existence of viable solutions for a class of second order differential inclusions. Zbl 1039.34009Cernea, Aurelian 8 2002 On the existence of solutions for a higher order differential inclusion without convexity. Zbl 1123.34046Cernea, Aurelian 7 2007 On the set of solutions of some nonconvex nonclosed hyperbolic differential inclusions. Zbl 1010.34002Cernea, Aurelian 6 2002 Some remarks on a fractional differential inclusion with non-separated boundary conditions. Zbl 1340.34010Cernea, Aurelian 6 2011 On a fractional differential inclusion with boundary conditions. Zbl 1224.34003Cernea, Aurelian 5 2010 Necessary optimality conditions for differential-difference inclusions with state constraints. Zbl 1124.49018Cernea, Aurelian; Georgescu, Carmina 5 2007 On some fractional differential inclusions with random parameters. Zbl 1407.34008Cernea, Aurelian 4 2018 On the existence of mild solutions for nonconvex fractional semilinear differential inclusions. Zbl 1340.34009Cernea, A. 4 2012 On the existence of solutions for fractional differential inclusions with boundary conditions. Zbl 1206.34011Cernea, Aurelian 4 2009 Existence of solutions to a class of evolution inclusions. Zbl 1012.34060Cernea, Aurelian; Staicu, Vasile 3 2002 On a fractional integro-differential inclusion. Zbl 1340.45009Cernea, Aurelian 3 2014 On a fractional differential inclusion with “maxima”. Zbl 1355.34114Cernea, Aurelian 3 2016 Continuous selections of solution sets of fractional integro-differential inclusions. Zbl 1349.45012Cernea, Aurelian 3 2015 On the solutions for a second-order integro-differential inclusion of Sturm-Liouville type. Zbl 07157337Cernea, Aurelian 2 2018 Derived cones to reachable sets of fractional differential inclusions. Zbl 1260.34120Cernea, Aurelian 2 2012 Derived cones to reachable sets of differential-difference inclusions. Zbl 1131.34047Cernea, Aurelian 2 2006 Existence for nonconvex integral inclusions via fixed points. Zbl 1113.45014Cernea, Aurelian 2 2003 Directionally continuous selections and nonconvex evolution inclusions. Zbl 1029.34051Cernea, Aurelian; Staicu, Vasile 2 2003 Arcwise connectedness of the solution set of a nonclosed nonconvex integral inclusion. Zbl 1164.45307Cernea, Aurelian 2 2008 A Filippov type existence theorem for a class of second-order differential inclusions. Zbl 1175.34017Cernea, Aurelian 2 2008 Continuous version of Filippov’s theorem for a Sturm-Liouville type differential inclusion. Zbl 1169.34306Cernea, Aurelian 2 2008 On some second-order necessary conditions for differential inclusion problems. Zbl 1096.49517Cernea, Aurelian 2 1998 A note on the value function for constrained control problems. Zbl 1129.49305Cernea, Aurelian; Frankowska, Hélène 2 2006 An existence result for nonlinear integrodifferential inclusions. Zbl 1308.45007Cernea, Aurelian 2 2007 On a fractional differential inclusion with four-point integral boundary conditions. Zbl 1399.34056Cernea, A. 2 2013 Some remarks on a multi point boundary value problem for a fractional order differential inclusion. Zbl 1298.34009Cernea, Aurelian 2 2013 A note on mild solutions for nonconvex fractional semilinear differential inclusions. Zbl 1284.34025Cernea, Aurelian 2 2013 On the solution set of a fractional differential inclusion. Zbl 1289.34036Cernea, Aurelian 2 2013 On controllability for a nonconvex second-order differential inclusion. Zbl 1299.34056Cernea, Aurelian 2 2013 Continuous version of Filippov’s theorem for a semilinear differential inclusion. Zbl 0898.34013Cernea, Aurelian 2 1997 Local controllability of hyperbolic differential inclusions via derived cones. Zbl 1055.49002Cernea, Aurelian 1 2002 Derived cones via relaxation for differential inclusions. Zbl 0999.34008Cernea, Aurelian 1 2000 Some qualitative properties of the solution set of infinite horizon operational differential inclusions. Zbl 1005.34052Cernea, Aurelian 1 1998 A Filippov type existence theorem for infinite horizon operational differential inclusions. Zbl 1026.34070Cernea, Aurelian 1 1998 Existence of viable solutions for a class of nonconvex differential inclusions. Zbl 1077.34018Cernea, Aurelian 1 2004 Second-order necessary conditions for differential-difference inclusion problems. Zbl 1114.49022Cernea, Aurelian 1 2005 Viable solutions for a class of differential inclusions without convexity. Zbl 1089.34049Cernea, Aurelian 1 2005 On an evolution inclusion in non-separable Banach spaces. Zbl 1190.34070Cernea, Aurelian 1 2009 Continuous version of Filippov’s theorem for a second-order differential inclusion. Zbl 1199.34301Cernea, Aurelian 1 2008 On the mild solutions of a class of evolution inclusions. Zbl 1179.34069Cernea, Aurelian 1 2009 On a class of differential inclusions governed by a sweeping process. Zbl 1120.34007Cernea, Aurelian; Lupulescu, Vasile 1 2005 An existence theorem for some nonconvex hyperbolic differential inclusions. Zbl 1084.34508Cernea, Aurelian 1 2003 Controllability and maximum principle for discrete delay inclusions using derived cones. Zbl 1090.93020Cernea, Aurelian 1 2005 Necessary optimality conditions for a class of differential inclusions with state constraints. Zbl 1094.49021Cernea, Aurelian 1 2002 On the solution set of a nonconvex nonclosed second order differential inclusion. Zbl 1133.34009Cernea, Aurelian 1 2007 Controllability and extremality for differential-difference inclusions. Zbl 1136.34060Cernea, Aurelian; Georgescu, Carmina 1 2007 On a boundary value problem for a Sturm-Liouville type differential inclusion. Zbl 1210.34083Cernea, Aurelian 1 2010 On a nonlinear fractional order differential inclusion. Zbl 1211.34011Cernea, A. 1 2010 Derived cones to reachable sets of discrete inclusions. Zbl 1213.93012Cernea, Aurelian 1 2007 An existence result for Fredholm-type integral inclusion. Zbl 1162.45003Cernea, Aurelian 1 2008 On the solutions of some boundary value problems for integro-differential inclusions of fractional order. Zbl 1373.45006Cernea, Aurelian 1 2017 Existence of solutions for a certain boundary value problem associated to a fourth order differential inclusion. Zbl 1381.34038Cernea, Aurelian 1 2017 On the existence of solutions for a Hadamard-type fractional integro-differential inclusion. Zbl 1424.45014Cernea, Aurelian 1 2015 On the existence of solutions for nonconvex impulsive hyperbolic differential inclusions. Zbl 1240.34047Nedelcu, Sorin; Cernea, Aurelian 1 2010 Derived cones to reachable sets of differential inclusions. Zbl 1281.34020Cernea, Aurelian; Mirică, Ştefan 1 1998 Filippov lemma for a certain differential inclusion of fourth-order. Zbl 1299.34057Cernea, Aurelian 1 2013 On the reachable set of a class of fractional differential inclusions. Zbl 1499.34124Cernea, Aurelian 1 2021 On a Caputo type fractional integro-differential inclusion. Zbl 1513.45019Cernea, Aurelian 1 2021 Continuously parametrized solutions of a fractional integro-differential inclusion. Zbl 1486.34023Cernea, Aurelian 1 2021 On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative. Zbl 1463.45031Cernea, Aurelian 1 2017 On some fractional integro-differential inclusions with nonlocal multi-point boundary conditions. Zbl 1449.45012Cernea, Aurelian 1 2019 On controllability for Sturm-Liouville type differential inclusions. Zbl 1340.34058Cernea, Aurelian 1 2013 On a fractional differential inclusion arising from real estate asset securitization and HIV models. Zbl 1389.34006Cernea, Aurelian 1 2013 Some remarks on a fractional integro-differential inclusion with boundary conditions. Zbl 1349.45011Cernea, Aurelian 1 2015 On the existence of solutions for nonlinear differential inclusions. Zbl 1363.34203Căpraru, I.; Cernea, A. 1 2015 On some boundary value problems for a fractional integro-differential inclusion. Zbl 1366.45006Cernea, Aurelian 1 2016 Necessary conditions for optimality for the solutions of a differential inclusion with state constraints. (Conditions nécessaires d’optimalité pour les solutions d’une inclusion différentielle avec contraintes d’état.) Zbl 0829.49022Cernea, Aurelian 1 1995 On the existence of solutions for differential inclusions with “maxima”. Zbl 1365.34113Cernea, Aurelian 1 2015 Local controllability of a class of fractional differential inclusions via derived cones. Zbl 1457.34008Cernea, Aurelian 1 2020 Variational inclusions for a class of fractional differential inclusions. Zbl 07523911Cernea, Aurelian 1 2021 On the reachable set of a class of fractional differential inclusions. Zbl 1499.34124Cernea, Aurelian 1 2021 On a Caputo type fractional integro-differential inclusion. Zbl 1513.45019Cernea, Aurelian 1 2021 Continuously parametrized solutions of a fractional integro-differential inclusion. Zbl 1486.34023Cernea, Aurelian 1 2021 Variational inclusions for a class of fractional differential inclusions. Zbl 07523911Cernea, Aurelian 1 2021 Local controllability of a class of fractional differential inclusions via derived cones. Zbl 1457.34008Cernea, Aurelian 1 2020 On some fractional integro-differential inclusions with nonlocal multi-point boundary conditions. Zbl 1449.45012Cernea, Aurelian 1 2019 On some fractional differential inclusions with random parameters. Zbl 1407.34008Cernea, Aurelian 4 2018 On the solutions for a second-order integro-differential inclusion of Sturm-Liouville type. Zbl 07157337Cernea, Aurelian 2 2018 On the solutions of some boundary value problems for integro-differential inclusions of fractional order. Zbl 1373.45006Cernea, Aurelian 1 2017 Existence of solutions for a certain boundary value problem associated to a fourth order differential inclusion. Zbl 1381.34038Cernea, Aurelian 1 2017 On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative. Zbl 1463.45031Cernea, Aurelian 1 2017 On a fractional differential inclusion with “maxima”. Zbl 1355.34114Cernea, Aurelian 3 2016 On some boundary value problems for a fractional integro-differential inclusion. Zbl 1366.45006Cernea, Aurelian 1 2016 Filippov lemma for a class of Hadamard-type fractional differential inclusions. Zbl 1310.45008Cernea, Aurelian 9 2015 Continuous selections of solution sets of fractional integro-differential inclusions. Zbl 1349.45012Cernea, Aurelian 3 2015 On the existence of solutions for a Hadamard-type fractional integro-differential inclusion. Zbl 1424.45014Cernea, Aurelian 1 2015 Some remarks on a fractional integro-differential inclusion with boundary conditions. Zbl 1349.45011Cernea, Aurelian 1 2015 On the existence of solutions for nonlinear differential inclusions. Zbl 1363.34203Căpraru, I.; Cernea, A. 1 2015 On the existence of solutions for differential inclusions with “maxima”. Zbl 1365.34113Cernea, Aurelian 1 2015 On a fractional integro-differential inclusion. Zbl 1340.45009Cernea, Aurelian 3 2014 On a multi point boundary value problem for a fractional order differential inclusion. Zbl 1262.34006Cernea, Aurelian 9 2013 On a fractional differential inclusion with four-point integral boundary conditions. Zbl 1399.34056Cernea, A. 2 2013 Some remarks on a multi point boundary value problem for a fractional order differential inclusion. Zbl 1298.34009Cernea, Aurelian 2 2013 A note on mild solutions for nonconvex fractional semilinear differential inclusions. Zbl 1284.34025Cernea, Aurelian 2 2013 On the solution set of a fractional differential inclusion. Zbl 1289.34036Cernea, Aurelian 2 2013 On controllability for a nonconvex second-order differential inclusion. Zbl 1299.34056Cernea, Aurelian 2 2013 Filippov lemma for a certain differential inclusion of fourth-order. Zbl 1299.34057Cernea, Aurelian 1 2013 On controllability for Sturm-Liouville type differential inclusions. Zbl 1340.34058Cernea, Aurelian 1 2013 On a fractional differential inclusion arising from real estate asset securitization and HIV models. Zbl 1389.34006Cernea, Aurelian 1 2013 A note on the existence of solutions for some boundary value problems of fractional differential inclusions. Zbl 1281.34019Cernea, Aurelian 22 2012 On the existence of solutions for fractional differential inclusions with anti-periodic boundary conditions. Zbl 1302.34004Cernea, Aurelian 10 2012 On the existence of mild solutions for nonconvex fractional semilinear differential inclusions. Zbl 1340.34009Cernea, A. 4 2012 Derived cones to reachable sets of fractional differential inclusions. Zbl 1260.34120Cernea, Aurelian 2 2012 Some remarks on a fractional differential inclusion with non-separated boundary conditions. Zbl 1340.34010Cernea, Aurelian 6 2011 Continuous version of Filippov’s theorem for fractional differential inclusions. Zbl 1186.34010Cernea, Aurelian 14 2010 On the existence of solutions for nonconvex hyperbolic differential inclusions. Zbl 1193.35003Cernea, Aurelian 12 2010 On a fractional differential inclusion with boundary conditions. Zbl 1224.34003Cernea, Aurelian 5 2010 On a boundary value problem for a Sturm-Liouville type differential inclusion. Zbl 1210.34083Cernea, Aurelian 1 2010 On a nonlinear fractional order differential inclusion. Zbl 1211.34011Cernea, A. 1 2010 On the existence of solutions for nonconvex impulsive hyperbolic differential inclusions. Zbl 1240.34047Nedelcu, Sorin; Cernea, Aurelian 1 2010 On the existence of solutions for fractional differential inclusions with boundary conditions. Zbl 1206.34011Cernea, Aurelian 4 2009 On an evolution inclusion in non-separable Banach spaces. Zbl 1190.34070Cernea, Aurelian 1 2009 On the mild solutions of a class of evolution inclusions. Zbl 1179.34069Cernea, Aurelian 1 2009 Arcwise connectedness of the solution set of a nonclosed nonconvex integral inclusion. Zbl 1164.45307Cernea, Aurelian 2 2008 A Filippov type existence theorem for a class of second-order differential inclusions. Zbl 1175.34017Cernea, Aurelian 2 2008 Continuous version of Filippov’s theorem for a Sturm-Liouville type differential inclusion. Zbl 1169.34306Cernea, Aurelian 2 2008 Continuous version of Filippov’s theorem for a second-order differential inclusion. Zbl 1199.34301Cernea, Aurelian 1 2008 An existence result for Fredholm-type integral inclusion. Zbl 1162.45003Cernea, Aurelian 1 2008 On the existence of solutions for a higher order differential inclusion without convexity. Zbl 1123.34046Cernea, Aurelian 7 2007 Necessary optimality conditions for differential-difference inclusions with state constraints. Zbl 1124.49018Cernea, Aurelian; Georgescu, Carmina 5 2007 An existence result for nonlinear integrodifferential inclusions. Zbl 1308.45007Cernea, Aurelian 2 2007 On the solution set of a nonconvex nonclosed second order differential inclusion. Zbl 1133.34009Cernea, Aurelian 1 2007 Controllability and extremality for differential-difference inclusions. Zbl 1136.34060Cernea, Aurelian; Georgescu, Carmina 1 2007 Derived cones to reachable sets of discrete inclusions. Zbl 1213.93012Cernea, Aurelian 1 2007 Derived cones to reachable sets of differential-difference inclusions. Zbl 1131.34047Cernea, Aurelian 2 2006 A note on the value function for constrained control problems. Zbl 1129.49305Cernea, Aurelian; Frankowska, Hélène 2 2006 A connection between the maximum principle and dynamic programming for constrained control problems. Zbl 1085.49032Cernea, Aurelian; Frankowska, Hélène 27 2005 Second-order necessary conditions for differential-difference inclusion problems. Zbl 1114.49022Cernea, Aurelian 1 2005 Viable solutions for a class of differential inclusions without convexity. Zbl 1089.34049Cernea, Aurelian 1 2005 On a class of differential inclusions governed by a sweeping process. Zbl 1120.34007Cernea, Aurelian; Lupulescu, Vasile 1 2005 Controllability and maximum principle for discrete delay inclusions using derived cones. Zbl 1090.93020Cernea, Aurelian 1 2005 Existence of viable solutions for a class of nonconvex differential inclusions. Zbl 1077.34018Cernea, Aurelian 1 2004 Existence for nonconvex integral inclusions via fixed points. Zbl 1113.45014Cernea, Aurelian 2 2003 Directionally continuous selections and nonconvex evolution inclusions. Zbl 1029.34051Cernea, Aurelian; Staicu, Vasile 2 2003 An existence theorem for some nonconvex hyperbolic differential inclusions. Zbl 1084.34508Cernea, Aurelian 1 2003 On the existence of viable solutions for a class of second order differential inclusions. Zbl 1039.34009Cernea, Aurelian 8 2002 On the set of solutions of some nonconvex nonclosed hyperbolic differential inclusions. Zbl 1010.34002Cernea, Aurelian 6 2002 Existence of solutions to a class of evolution inclusions. Zbl 1012.34060Cernea, Aurelian; Staicu, Vasile 3 2002 Local controllability of hyperbolic differential inclusions via derived cones. Zbl 1055.49002Cernea, Aurelian 1 2002 Necessary optimality conditions for a class of differential inclusions with state constraints. Zbl 1094.49021Cernea, Aurelian 1 2002 Some second-order necessary conditions for nonconvex hyperbolic differential inclusion problems. Zbl 0971.49013Cernea, Aurelian 11 2001 Derived cones via relaxation for differential inclusions. Zbl 0999.34008Cernea, Aurelian 1 2000 On some second-order necessary conditions for differential inclusion problems. Zbl 1096.49517Cernea, Aurelian 2 1998 Some qualitative properties of the solution set of infinite horizon operational differential inclusions. Zbl 1005.34052Cernea, Aurelian 1 1998 A Filippov type existence theorem for infinite horizon operational differential inclusions. Zbl 1026.34070Cernea, Aurelian 1 1998 Derived cones to reachable sets of differential inclusions. Zbl 1281.34020Cernea, Aurelian; Mirică, Ştefan 1 1998 Continuous version of Filippov’s theorem for a semilinear differential inclusion. Zbl 0898.34013Cernea, Aurelian 2 1997 Necessary conditions for optimality for the solutions of a differential inclusion with state constraints. (Conditions nécessaires d’optimalité pour les solutions d’une inclusion différentielle avec contraintes d’état.) Zbl 0829.49022Cernea, Aurelian 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 191 Authors 25 Cernea, Aurelian 24 Mahmudov, Elimhan Nadir 16 Ahmad, Bashir 12 Ntouyas, Sotiris K. 10 Al-saedi, Ahmed Eid Salem 10 Frankowska, Hélène 6 Agarwal, Ravi P. 5 Liu, Xiaoyou 5 Liu, Zhenhai 5 Nguyen Thi Toan 4 Benchohra, Mouffak 3 Castaing, Charles 3 Fontes, Fernando A. C. C. 3 Fu, Xi 3 Godet-Thobie, Christiane 3 Le Xuan Truong 3 Mazzola, Marco 3 Thuy, Le Quang 3 Vinter, Richard B. 2 Abbas, Said 2 Aissani, Khalida 2 Bartuzel, Grzegorz 2 Benedetti, Irene 2 Bettiol, Piernicola 2 Boccia, Andrea 2 Cardinali, Tiziana 2 Continelli, Elisa 2 Donchev, Tzanko Donchev 2 Ergören, Hilmi 2 Fryszkowski, Andrzej 2 Graef, John R. 2 Hilal, Khalid 2 Kien, Bui Trong 2 Kong, Lingju 2 Lan, Do 2 Lopes, Sofia O. 2 Nieto Roig, Juan Jose 2 Obukhovskiĭ, Valeriĭ Vladimirovich 2 Phung, Phan Dinh 2 Rascanu, Aurel 2 Sağlam, Sevilay Demir 2 Spraker, John S. 2 Sun, Shurong 2 Taddei, Valentina 2 Wang, Xuhuan 1 Abdeljawad, Thabet 1 Aghajani, Asadollah 1 Aguila-Camacho, Norelys 1 Alsulami, Hamed Hamdan 1 Alzahrani, Faris Saeed 1 An, D. T. V. 1 Anbalagan, Pratap 1 Arjunan, Mani Mallika 1 Aronna, María Soledad 1 Arroud, Chems Eddine 1 Băleanu, Dumitru I. 1 Bar, Bachir 1 Basco, Vincenzo 1 Bilal, Shamas 1 Bonneuil, Noël 1 Boudjerida, Assia 1 Buckdahn, Rainer 1 Butkovskiĭ, Anatoliĭ Grigor’evich 1 Campos, Cédric Martínez 1 Cannarsa, Piermarco 1 Cârjă, Ovidiu 1 Ceballos-Benavides, Gustavo E. 1 Chang, Yong-Kui 1 Chen, Juan 1 Chen, Liangying 1 Chen, Lizhen 1 Cheng, Yi 1 Chieu, Nguyen Huy 1 Cho, Yeol Je 1 Čiček, Gülseren 1 Cristiani, Emiliano 1 Danca, Marius-Florin 1 Darwish, Mohamed Abdalla 1 de Pinho, Maria do Rosário 1 Değer, Özkan 1 Demir, Sevilay 1 Deng, Li 1 Dhaigude, Dnyanoba Bhaurao 1 Dikko, Dauda Alani 1 Djebali, Smail 1 Duarte-Mermoud, Manuel Armando 1 Fominyh, Alexander V. 1 Gallegos, Javier A. 1 Georgescu, Carmina 1 Gomoyunov, Mikhail Igorevich 1 Górniewicz, Lech 1 Grahovac, Nenad M. 1 Guida, Karim 1 Guo, Xiuqing 1 Haddad, Tahar 1 Han, Zhenlai 1 Hasabe, D. R. 1 Hedayati, Vahid 1 Hoehener, Daniel 1 Huang, Mugen ...and 91 more Authors all top 5 Cited in 80 Serials 17 Fractional Calculus & Applied Analysis 9 Advances in Difference Equations 7 Journal of Mathematical Analysis and Applications 6 Journal of Optimization Theory and Applications 6 Abstract and Applied Analysis 6 Boundary Value Problems 4 Applicable Analysis 4 Journal of Differential Equations 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Dynamical and Control Systems 4 Journal of Applied Mathematics and Computing 4 Journal of Function Spaces 3 Applied Mathematics and Optimization 3 Optimization 3 Filomat 3 NoDEA. Nonlinear Differential Equations and Applications 3 Fractional Differential Calculus 2 International Journal of Control 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Results in Mathematics 2 SIAM Journal on Control and Optimization 2 Systems & Control Letters 2 Turkish Journal of Mathematics 2 Taiwanese Journal of Mathematics 2 Mediterranean Journal of Mathematics 2 Differential Equations and Applications 2 Set-Valued and Variational Analysis 2 Journal of Applied Nonlinear Dynamics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Demonstratio Mathematica 1 Journal of Computational and Applied Mathematics 1 Numerical Functional Analysis and Optimization 1 Transactions of the American Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Mathematical and Computer Modelling 1 Acta Mathematica Universitatis Comenianae. New Series 1 Journal of Global Optimization 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Automation and Remote Control 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Vestnik St. Petersburg University. Mathematics 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Georgian Mathematical Journal 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Positivity 1 Journal of Inequalities and Applications 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Mathematica Moravica 1 Discrete Dynamics in Nature and Society 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Differential Equations 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Central European Journal of Mathematics 1 Cubo 1 Journal of Industrial and Management Optimization 1 Communications in Mathematical Analysis 1 Journal of Fixed Point Theory and Applications 1 Optimization Letters 1 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică 1 Bulletin of Mathematical Analysis and Applications 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Mathematical Control and Related Fields 1 Journal of Nonlinear Evolution Equations and Applications 1 Journal of Applied Analysis and Computation 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Journal of Nonlinear and Variational Analysis all top 5 Cited in 19 Fields 120 Ordinary differential equations (34-XX) 62 Calculus of variations and optimal control; optimization (49-XX) 42 Operator theory (47-XX) 31 Real functions (26-XX) 22 Systems theory; control (93-XX) 18 Partial differential equations (35-XX) 16 Operations research, mathematical programming (90-XX) 14 Integral equations (45-XX) 5 General topology (54-XX) 5 Numerical analysis (65-XX) 4 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 1 Mathematical logic and foundations (03-XX) 1 Measure and integration (28-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Citations by Year