Edit Profile (opens in new tab) Cernea, Aurelian Co-Author Distance Author ID: cernea.aurelian Published as: Cernea, Aurelian; Cernea, A. Homepage: https://www.aosr.ro/aurelian-cernea/ External Links: ORCID · Google Scholar · dblp Documents Indexed: 226 Publications since 1994 Reviewing Activity: 75 Reviews Co-Authors: 8 Co-Authors with 21 Joint Publications 110 Co-Co-Authors all top 5 Co-Authors 205 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 10 Mathematica 9 Analele Universității București. Matematică 9 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 ROMAI Journal 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 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 Carpathian Journal of Mathematics 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 Novi Sad Journal of Mathematics 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 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 178 Ordinary differential equations (34-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 40 Operator theory (47-XX) 37 Integral equations (45-XX) 30 Real functions (26-XX) 28 Systems theory; control (93-XX) 10 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 85 Publications have been cited 283 times in 190 Documents Cited by ▼ Year ▼ A connection between the maximum principle and dynamic programming for constrained control problems. Zbl 1085.49032 Cernea, Aurelian; Frankowska, Hélène 27 2005 A note on the existence of solutions for some boundary value problems of fractional differential inclusions. Zbl 1281.34019 Cernea, Aurelian 22 2012 Continuous version of Filippov’s theorem for fractional differential inclusions. Zbl 1186.34010 Cernea, Aurelian 15 2010 Some second-order necessary conditions for nonconvex hyperbolic differential inclusion problems. Zbl 0971.49013 Cernea, Aurelian 14 2001 On the existence of solutions for nonconvex hyperbolic differential inclusions. Zbl 1193.35003 Cernea, Aurelian 13 2010 On the existence of solutions for fractional differential inclusions with anti-periodic boundary conditions. Zbl 1302.34004 Cernea, Aurelian 13 2012 On a multi point boundary value problem for a fractional order differential inclusion. Zbl 1262.34006 Cernea, Aurelian 10 2013 Filippov lemma for a class of Hadamard-type fractional differential inclusions. Zbl 1310.45008 Cernea, Aurelian 9 2015 On the existence of viable solutions for a class of second order differential inclusions. Zbl 1039.34009 Cernea, Aurelian 9 2002 On the existence of solutions for a higher order differential inclusion without convexity. Zbl 1123.34046 Cernea, Aurelian 8 2007 On a fractional differential inclusion with boundary conditions. Zbl 1224.34003 Cernea, Aurelian 7 2010 Some remarks on a fractional differential inclusion with non-separated boundary conditions. Zbl 1340.34010 Cernea, Aurelian 7 2011 Continuous version of Filippov’s theorem for a Sturm-Liouville type differential inclusion. Zbl 1169.34306 Cernea, Aurelian 6 2008 On the set of solutions of some nonconvex nonclosed hyperbolic differential inclusions. Zbl 1010.34002 Cernea, Aurelian 6 2002 Necessary optimality conditions for differential-difference inclusions with state constraints. Zbl 1124.49018 Cernea, Aurelian; Georgescu, Carmina 6 2007 On the existence of mild solutions for nonconvex fractional semilinear differential inclusions. Zbl 1340.34009 Cernea, A. 5 2012 On the existence of solutions for fractional differential inclusions with boundary conditions. Zbl 1206.34011 Cernea, Aurelian 4 2009 On some fractional differential inclusions with random parameters. Zbl 1407.34008 Cernea, Aurelian 4 2018 On controllability for a nonconvex second-order differential inclusion. Zbl 1299.34056 Cernea, Aurelian 3 2013 A note on mild solutions for nonconvex fractional semilinear differential inclusions. Zbl 1284.34025 Cernea, Aurelian 3 2013 Existence of solutions to a class of evolution inclusions. Zbl 1012.34060 Cernea, Aurelian; Staicu, Vasile 3 2002 Continuous selections of solution sets of fractional integro-differential inclusions. Zbl 1349.45012 Cernea, Aurelian 3 2015 On controllability for Sturm-Liouville type differential inclusions. Zbl 1340.34058 Cernea, Aurelian 3 2013 On a fractional integro-differential inclusion. Zbl 1340.45009 Cernea, Aurelian 3 2014 On a fractional differential inclusion with “maxima”. Zbl 1355.34114 Cernea, Aurelian 3 2016 On some fractional integro-differential inclusions with nonlocal multi-point boundary conditions. Zbl 1449.45012 Cernea, Aurelian 3 2019 On the solutions for a second-order integro-differential inclusion of Sturm-Liouville type. Zbl 1524.34187 Cernea, Aurelian 3 2018 Arcwise connectedness of the solution set of a nonclosed nonconvex integral inclusion. Zbl 1164.45307 Cernea, Aurelian 2 2008 A Filippov type existence theorem for a class of second-order differential inclusions. Zbl 1175.34017 Cernea, Aurelian 2 2008 A note on the value function for constrained control problems. Zbl 1129.49305 Cernea, Aurelian; Frankowska, Hélène 2 2006 Derived cones to reachable sets of differential-difference inclusions. Zbl 1131.34047 Cernea, Aurelian 2 2006 On the solution set of a fractional differential inclusion. Zbl 1289.34036 Cernea, Aurelian 2 2013 Some remarks on a multi point boundary value problem for a fractional order differential inclusion. Zbl 1298.34009 Cernea, Aurelian 2 2013 Derived cones to reachable sets of fractional differential inclusions. Zbl 1260.34120 Cernea, Aurelian 2 2012 Directionally continuous selections and nonconvex evolution inclusions. Zbl 1029.34051 Cernea, Aurelian; Staicu, Vasile 2 2003 On a fractional differential inclusion with four-point integral boundary conditions. Zbl 1399.34056 Cernea, A. 2 2013 Continuous version of Filippov’s theorem for a semilinear differential inclusion. Zbl 0898.34013 Cernea, Aurelian 2 1997 On some second-order necessary conditions for differential inclusion problems. Zbl 1096.49517 Cernea, Aurelian 2 1998 An existence result for nonlinear integrodifferential inclusions. Zbl 1308.45007 Cernea, Aurelian 2 2007 Existence for nonconvex integral inclusions via fixed points. Zbl 1113.45014 Cernea, Aurelian 2 2003 On the existence of solutions for nonconvex impulsive hyperbolic differential inclusions. Zbl 1240.34047 Nedelcu, Sorin; Cernea, Aurelian 1 2010 On a boundary value problem for a Sturm-Liouville type differential inclusion. Zbl 1210.34083 Cernea, Aurelian 1 2010 Continuous selections of solutions sets of fractional differential inclusions involving Caputo’s fractional derivative. Zbl 1224.34021 Cernea, Aurelian 1 2010 On a nonlinear fractional order differential inclusion. Zbl 1211.34011 Cernea, A. 1 2010 On the mild solutions of a class of evolution inclusions. Zbl 1179.34069 Cernea, Aurelian 1 2009 An existence result for Fredholm-type integral inclusion. Zbl 1162.45003 Cernea, Aurelian 1 2008 Sturm-Liouville type differential inclusions in non separable Banach spaces. Zbl 1174.34048 Cernea, Aurelian 1 2008 Necessary optimality conditions for a class of differential inclusions with state constraints. Zbl 1094.49021 Cernea, Aurelian 1 2002 Derived cones to reachable sets of differential inclusions. Zbl 1281.34020 Cernea, Aurelian; Mirică, Ştefan 1 1998 Filippov lemma for a certain differential inclusion of fourth-order. Zbl 1299.34057 Cernea, Aurelian 1 2013 On an integro-differential inclusion of fractional order. Zbl 1279.45009 Cernea, Aurelian 1 2013 Necessary optimality conditions for hyperbolic differential inclusions with end point constraints. Zbl 1021.49018 Cernea, Aurelian 1 2000 Second-order necessary conditions for differential-difference inclusion problems. Zbl 1114.49022 Cernea, Aurelian 1 2005 Local controllability of hyperbolic differential inclusions via derived cones. Zbl 1055.49002 Cernea, Aurelian 1 2002 Some qualitative properties of the solution set of infinite horizon operational differential inclusions. Zbl 1005.34052 Cernea, Aurelian 1 1998 A Filippov type existence theorem for infinite horizon operational differential inclusions. Zbl 1026.34070 Cernea, Aurelian 1 1998 Derived cones via relaxation for differential inclusions. Zbl 0999.34008 Cernea, Aurelian 1 2000 Some remarks on a fractional integro-differential inclusion with boundary conditions. Zbl 1349.45011 Cernea, Aurelian 1 2015 On the existence of solutions for nonlinear differential inclusions. Zbl 1363.34203 Căpraru, I.; Cernea, A. 1 2015 On a fractional differential inclusion arising from real estate asset securitization and HIV models. Zbl 1389.34006 Cernea, Aurelian 1 2013 On the solutions of some boundary value problems for integro-differential inclusions of fractional order. Zbl 1373.45006 Cernea, Aurelian 1 2017 Existence of solutions for a certain boundary value problem associated to a fourth order differential inclusion. Zbl 1381.34038 Cernea, Aurelian 1 2017 On the existence of solutions for differential inclusions with “maxima”. Zbl 1365.34113 Cernea, Aurelian 1 2015 On an evolution inclusion in non-separable Banach spaces. Zbl 1190.34070 Cernea, Aurelian 1 2009 On the existence of solutions for a Hadamard-type fractional integro-differential inclusion. Zbl 1424.45014 Cernea, Aurelian 1 2015 On some boundary value problems for a fractional integro-differential inclusion. Zbl 1366.45006 Cernea, Aurelian 1 2016 Continuous version of Filippov’s theorem for a second-order differential inclusion. Zbl 1199.34301 Cernea, Aurelian 1 2008 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 0829.49022 Cernea, Aurelian 1 1995 Existence of viable solutions for a class of nonconvex differential inclusions. Zbl 1077.34018 Cernea, Aurelian 1 2004 Viable solutions for a class of differential inclusions without convexity. Zbl 1089.34049 Cernea, Aurelian 1 2005 Controllability and maximum principle for discrete delay inclusions using derived cones. Zbl 1090.93020 Cernea, Aurelian 1 2005 On a class of differential inclusions governed by a sweeping process. Zbl 1120.34007 Cernea, Aurelian; Lupulescu, Vasile 1 2005 Derived cones to reachable sets of discrete inclusions. Zbl 1213.93012 Cernea, Aurelian 1 2007 On the solution set of a nonconvex nonclosed second order differential inclusion. Zbl 1133.34009 Cernea, Aurelian 1 2007 Controllability and extremality for differential-difference inclusions. Zbl 1136.34060 Cernea, Aurelian; Georgescu, Carmina 1 2007 An existence theorem for some nonconvex hyperbolic differential inclusions. Zbl 1084.34508 Cernea, Aurelian 1 2003 Variational inclusions for a class of fractional differential inclusions. Zbl 1524.34049 Cernea, Aurelian 1 2021 On the solutions of a fractional differential inclusion of Caputo-Fabrizio type. Zbl 1461.34007 Cernea, Aurelian 1 2020 Local controllability of a class of fractional differential inclusions via derived cones. Zbl 1457.34008 Cernea, Aurelian 1 2020 On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative. Zbl 1463.45031 Cernea, Aurelian 1 2017 Continuously parametrized solutions of a fractional integro-differential inclusion. Zbl 1486.34023 Cernea, Aurelian 1 2021 On the reachable set of a class of fractional differential inclusions. Zbl 1499.34124 Cernea, Aurelian 1 2021 On a Caputo type fractional integro-differential inclusion. Zbl 1513.45019 Cernea, Aurelian 1 2021 On a partial Hadamard fractional integral inclusion. Zbl 1524.45013 Cernea, Aurelian 1 2016 On the solution set of a second-order integro-differential inclusion. Zbl 1496.34034 Cernea, Aurelian 1 2020 Variational inclusions for a class of fractional differential inclusions. Zbl 1524.34049 Cernea, Aurelian 1 2021 Continuously parametrized solutions of a fractional integro-differential inclusion. Zbl 1486.34023 Cernea, Aurelian 1 2021 On the reachable set of a class of fractional differential inclusions. Zbl 1499.34124 Cernea, Aurelian 1 2021 On a Caputo type fractional integro-differential inclusion. Zbl 1513.45019 Cernea, Aurelian 1 2021 On the solutions of a fractional differential inclusion of Caputo-Fabrizio type. Zbl 1461.34007 Cernea, Aurelian 1 2020 Local controllability of a class of fractional differential inclusions via derived cones. Zbl 1457.34008 Cernea, Aurelian 1 2020 On the solution set of a second-order integro-differential inclusion. Zbl 1496.34034 Cernea, Aurelian 1 2020 On some fractional integro-differential inclusions with nonlocal multi-point boundary conditions. Zbl 1449.45012 Cernea, Aurelian 3 2019 On some fractional differential inclusions with random parameters. Zbl 1407.34008 Cernea, Aurelian 4 2018 On the solutions for a second-order integro-differential inclusion of Sturm-Liouville type. Zbl 1524.34187 Cernea, Aurelian 3 2018 On the solutions of some boundary value problems for integro-differential inclusions of fractional order. Zbl 1373.45006 Cernea, Aurelian 1 2017 Existence of solutions for a certain boundary value problem associated to a fourth order differential inclusion. Zbl 1381.34038 Cernea, Aurelian 1 2017 On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative. Zbl 1463.45031 Cernea, Aurelian 1 2017 On a fractional differential inclusion with “maxima”. Zbl 1355.34114 Cernea, Aurelian 3 2016 On some boundary value problems for a fractional integro-differential inclusion. Zbl 1366.45006 Cernea, Aurelian 1 2016 On a partial Hadamard fractional integral inclusion. Zbl 1524.45013 Cernea, Aurelian 1 2016 Filippov lemma for a class of Hadamard-type fractional differential inclusions. Zbl 1310.45008 Cernea, Aurelian 9 2015 Continuous selections of solution sets of fractional integro-differential inclusions. Zbl 1349.45012 Cernea, Aurelian 3 2015 Some remarks on a fractional integro-differential inclusion with boundary conditions. Zbl 1349.45011 Cernea, Aurelian 1 2015 On the existence of solutions for nonlinear differential inclusions. Zbl 1363.34203 Căpraru, I.; Cernea, A. 1 2015 On the existence of solutions for differential inclusions with “maxima”. Zbl 1365.34113 Cernea, Aurelian 1 2015 On the existence of solutions for a Hadamard-type fractional integro-differential inclusion. Zbl 1424.45014 Cernea, Aurelian 1 2015 On a fractional integro-differential inclusion. Zbl 1340.45009 Cernea, Aurelian 3 2014 On a multi point boundary value problem for a fractional order differential inclusion. Zbl 1262.34006 Cernea, Aurelian 10 2013 On controllability for a nonconvex second-order differential inclusion. Zbl 1299.34056 Cernea, Aurelian 3 2013 A note on mild solutions for nonconvex fractional semilinear differential inclusions. Zbl 1284.34025 Cernea, Aurelian 3 2013 On controllability for Sturm-Liouville type differential inclusions. Zbl 1340.34058 Cernea, Aurelian 3 2013 On the solution set of a fractional differential inclusion. Zbl 1289.34036 Cernea, Aurelian 2 2013 Some remarks on a multi point boundary value problem for a fractional order differential inclusion. Zbl 1298.34009 Cernea, Aurelian 2 2013 On a fractional differential inclusion with four-point integral boundary conditions. Zbl 1399.34056 Cernea, A. 2 2013 Filippov lemma for a certain differential inclusion of fourth-order. Zbl 1299.34057 Cernea, Aurelian 1 2013 On an integro-differential inclusion of fractional order. Zbl 1279.45009 Cernea, Aurelian 1 2013 On a fractional differential inclusion arising from real estate asset securitization and HIV models. Zbl 1389.34006 Cernea, Aurelian 1 2013 A note on the existence of solutions for some boundary value problems of fractional differential inclusions. Zbl 1281.34019 Cernea, Aurelian 22 2012 On the existence of solutions for fractional differential inclusions with anti-periodic boundary conditions. Zbl 1302.34004 Cernea, Aurelian 13 2012 On the existence of mild solutions for nonconvex fractional semilinear differential inclusions. Zbl 1340.34009 Cernea, A. 5 2012 Derived cones to reachable sets of fractional differential inclusions. Zbl 1260.34120 Cernea, Aurelian 2 2012 Some remarks on a fractional differential inclusion with non-separated boundary conditions. Zbl 1340.34010 Cernea, Aurelian 7 2011 Continuous version of Filippov’s theorem for fractional differential inclusions. Zbl 1186.34010 Cernea, Aurelian 15 2010 On the existence of solutions for nonconvex hyperbolic differential inclusions. Zbl 1193.35003 Cernea, Aurelian 13 2010 On a fractional differential inclusion with boundary conditions. Zbl 1224.34003 Cernea, Aurelian 7 2010 On the existence of solutions for nonconvex impulsive hyperbolic differential inclusions. Zbl 1240.34047 Nedelcu, Sorin; Cernea, Aurelian 1 2010 On a boundary value problem for a Sturm-Liouville type differential inclusion. Zbl 1210.34083 Cernea, Aurelian 1 2010 Continuous selections of solutions sets of fractional differential inclusions involving Caputo’s fractional derivative. Zbl 1224.34021 Cernea, Aurelian 1 2010 On a nonlinear fractional order differential inclusion. Zbl 1211.34011 Cernea, A. 1 2010 On the existence of solutions for fractional differential inclusions with boundary conditions. Zbl 1206.34011 Cernea, Aurelian 4 2009 On the mild solutions of a class of evolution inclusions. Zbl 1179.34069 Cernea, Aurelian 1 2009 On an evolution inclusion in non-separable Banach spaces. Zbl 1190.34070 Cernea, Aurelian 1 2009 Continuous version of Filippov’s theorem for a Sturm-Liouville type differential inclusion. Zbl 1169.34306 Cernea, Aurelian 6 2008 Arcwise connectedness of the solution set of a nonclosed nonconvex integral inclusion. Zbl 1164.45307 Cernea, Aurelian 2 2008 A Filippov type existence theorem for a class of second-order differential inclusions. Zbl 1175.34017 Cernea, Aurelian 2 2008 An existence result for Fredholm-type integral inclusion. Zbl 1162.45003 Cernea, Aurelian 1 2008 Sturm-Liouville type differential inclusions in non separable Banach spaces. Zbl 1174.34048 Cernea, Aurelian 1 2008 Continuous version of Filippov’s theorem for a second-order differential inclusion. Zbl 1199.34301 Cernea, Aurelian 1 2008 On the existence of solutions for a higher order differential inclusion without convexity. Zbl 1123.34046 Cernea, Aurelian 8 2007 Necessary optimality conditions for differential-difference inclusions with state constraints. Zbl 1124.49018 Cernea, Aurelian; Georgescu, Carmina 6 2007 An existence result for nonlinear integrodifferential inclusions. Zbl 1308.45007 Cernea, Aurelian 2 2007 Derived cones to reachable sets of discrete inclusions. Zbl 1213.93012 Cernea, Aurelian 1 2007 On the solution set of a nonconvex nonclosed second order differential inclusion. Zbl 1133.34009 Cernea, Aurelian 1 2007 Controllability and extremality for differential-difference inclusions. Zbl 1136.34060 Cernea, Aurelian; Georgescu, Carmina 1 2007 A note on the value function for constrained control problems. Zbl 1129.49305 Cernea, Aurelian; Frankowska, Hélène 2 2006 Derived cones to reachable sets of differential-difference inclusions. Zbl 1131.34047 Cernea, Aurelian 2 2006 A connection between the maximum principle and dynamic programming for constrained control problems. Zbl 1085.49032 Cernea, Aurelian; Frankowska, Hélène 27 2005 Second-order necessary conditions for differential-difference inclusion problems. Zbl 1114.49022 Cernea, Aurelian 1 2005 Viable solutions for a class of differential inclusions without convexity. Zbl 1089.34049 Cernea, Aurelian 1 2005 Controllability and maximum principle for discrete delay inclusions using derived cones. Zbl 1090.93020 Cernea, Aurelian 1 2005 On a class of differential inclusions governed by a sweeping process. Zbl 1120.34007 Cernea, Aurelian; Lupulescu, Vasile 1 2005 Existence of viable solutions for a class of nonconvex differential inclusions. Zbl 1077.34018 Cernea, Aurelian 1 2004 Directionally continuous selections and nonconvex evolution inclusions. Zbl 1029.34051 Cernea, Aurelian; Staicu, Vasile 2 2003 Existence for nonconvex integral inclusions via fixed points. Zbl 1113.45014 Cernea, Aurelian 2 2003 An existence theorem for some nonconvex hyperbolic differential inclusions. Zbl 1084.34508 Cernea, Aurelian 1 2003 On the existence of viable solutions for a class of second order differential inclusions. Zbl 1039.34009 Cernea, Aurelian 9 2002 On the set of solutions of some nonconvex nonclosed hyperbolic differential inclusions. Zbl 1010.34002 Cernea, Aurelian 6 2002 Existence of solutions to a class of evolution inclusions. Zbl 1012.34060 Cernea, Aurelian; Staicu, Vasile 3 2002 Necessary optimality conditions for a class of differential inclusions with state constraints. Zbl 1094.49021 Cernea, Aurelian 1 2002 Local controllability of hyperbolic differential inclusions via derived cones. Zbl 1055.49002 Cernea, Aurelian 1 2002 Some second-order necessary conditions for nonconvex hyperbolic differential inclusion problems. Zbl 0971.49013 Cernea, Aurelian 14 2001 Necessary optimality conditions for hyperbolic differential inclusions with end point constraints. Zbl 1021.49018 Cernea, Aurelian 1 2000 Derived cones via relaxation for differential inclusions. Zbl 0999.34008 Cernea, Aurelian 1 2000 On some second-order necessary conditions for differential inclusion problems. Zbl 1096.49517 Cernea, Aurelian 2 1998 Derived cones to reachable sets of differential inclusions. Zbl 1281.34020 Cernea, Aurelian; Mirică, Ştefan 1 1998 Some qualitative properties of the solution set of infinite horizon operational differential inclusions. Zbl 1005.34052 Cernea, Aurelian 1 1998 A Filippov type existence theorem for infinite horizon operational differential inclusions. Zbl 1026.34070 Cernea, Aurelian 1 1998 Continuous version of Filippov’s theorem for a semilinear differential inclusion. Zbl 0898.34013 Cernea, 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 0829.49022 Cernea, Aurelian 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 208 Authors 31 Mahmudov, Elimhan Nadir 26 Cernea, Aurelian 17 Ahmad, Bashir 12 Ntouyas, Sotiris K. 11 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 Cardinali, Tiziana 3 Castaing, Charles 3 Fontes, Fernando A. C. C. 3 Fu, Xi 3 Godet-Thobie, Christiane 3 Hilal, Khalid 3 Mastaliyeva, Dilara I. 3 Mazzola, Marco 3 Thuy, Le Quang 3 Truong, Le Xuan 3 Vinter, Richard B. 2 Abbas, Said 2 Abdeljawad, Thabet 2 Aissani, Khalida 2 Bartuzel, Grzegorz 2 Benedetti, Irene 2 Bettiol, Piernicola 2 Boccia, Andrea 2 Chen, Juan 2 Continelli, Elisa 2 Donchev, Tzanko Donchev 2 Ergören, Hilmi 2 Fominyh, Alexander V. 2 Fryszkowski, Andrzej 2 Graef, John R. 2 Kajouni, Ahmed 2 Kien, Bui Trong 2 Kong, Lingju 2 Lan, Do 2 Lmou, Hamid 2 Lopes, Sofia O. 2 Nieto Roig, Juan Jose 2 Obukhovskiĭ, Valeriĭ Vladimirovich 2 Phung, Phan Dinh 2 Rascanu, Aurel 2 Rezapour, Shahram 2 Sağlam, Sevilay Demir 2 Saïdi, Soumia 2 Samei, Mohammad Esmael 2 Spraker, John S. 2 Sun, Shurong 2 Taddei, Valentina 2 Wang, Xuhuan 2 Zhou, Yong 2 Zhuang, Bo 1 Aghajani, Asadollah 1 Aguila-Camacho, Norelys 1 Ahmed, Rizwan 1 Alghanmi, Madeaha 1 Aliouane, Fatine 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 Azzam-Laouir, Dalila 1 Băleanu, Dumitru I. 1 Bar, Bachir 1 Basco, Vincenzo 1 Belghaba, Kacem 1 Benyoub, Mohammed 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, 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 ...and 108 more Authors all top 5 Cited in 86 Serials 18 Fractional Calculus & Applied Analysis 9 Advances in Difference Equations 7 Applicable Analysis 7 Journal of Mathematical Analysis and Applications 7 Journal of Optimization Theory and Applications 6 Abstract and Applied Analysis 6 Boundary Value Problems 5 NoDEA. Nonlinear Differential Equations and Applications 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 International Journal of Control 3 Applied Mathematics and Optimization 3 Optimization 3 Filomat 3 Set-Valued and Variational Analysis 3 Fractional Differential Calculus 2 Applied Mathematics and Computation 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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Taiwanese Journal of Mathematics 2 Journal of Inequalities and Applications 2 Mathematica Moravica 2 Mediterranean Journal of Mathematics 2 Differential Equations and Applications 2 Asian Journal of Control 2 Mathematical Control and Related Fields 2 Journal of Applied Analysis and Computation 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 Mathematical Methods in the Applied Sciences 1 Chaos, Solitons and Fractals 1 Demonstratio Mathematica 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 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 Nonlinear Dynamics 1 Positivity 1 Novi Sad Journal of Mathematics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 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 Kragujevac Journal of Mathematics 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 Boletim da Sociedade Paranaense de Matemática. Terceira Série 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 Journal of Nonlinear Evolution Equations and Applications 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 20 Fields 138 Ordinary differential equations (34-XX) 71 Calculus of variations and optimal control; optimization (49-XX) 47 Operator theory (47-XX) 36 Real functions (26-XX) 26 Systems theory; control (93-XX) 19 Partial differential equations (35-XX) 17 Operations research, mathematical programming (90-XX) 16 Integral equations (45-XX) 7 Numerical analysis (65-XX) 6 Difference and functional equations (39-XX) 5 General topology (54-XX) 3 Probability theory and stochastic processes (60-XX) 2 Measure and integration (28-XX) 1 Mathematical logic and foundations (03-XX) 1 Special functions (33-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