Edit Profile (opens in new tab) Cellina, Arrigo Compute Distance To: Compute Author ID: cellina.arrigo Published as: Cellina, Arrigo; Cellina, A. Documents Indexed: 106 Publications since 1966, including 1 Book 2 Contributions as Editor Co-Authors: 35 Co-Authors with 59 Joint Publications 578 Co-Co-Authors all top 5 Co-Authors 43 single-authored 5 Colombo, Giovanni 5 Staicu, Vasile 4 Bonfanti, Giovanni 4 Mariconda, Carlo 4 Mazzola, Marco 4 Ornelas, António 4 Perrotta, Stefania 3 Antosiewicz, Henry A. 3 Colombo, Rinaldo M. 3 Ferriero, Alessandro 3 Marchini, Elsa Maria 3 Sartori, Caterina 3 Szegö, Giorgio 3 Zagatti, Sandro 2 Albertoni, Sergio 2 Amar, Micol 2 Aubin, Jean-Pierre 2 Bressan, Alberto 2 Fonda, Alessandro 2 Fryszkowski, Andrzej 2 Pianigiani, Giulio 2 Treu, Giulia 2 Vornicescu, Mihai 1 Anichini, Giuseppe 1 Barbu, Viorel 1 Bertone, Simone 1 Caielli, Agnese 1 Celada, Pietro 1 Damascelli, Lucio 1 Flores, Fabián 1 Lasota, Andrzej 1 Marchi, Maria Vittoria 1 Myjak, Jozef Wenety 1 Nohel, John A. 1 Olech, Czesław 1 Ricceri, Biagio 1 Rzezuchowski, Tadeusz 1 Solimini, Sergio 1 Spadoni, Massimo all top 5 Serials 11 SIAM Journal on Control and Optimization 9 Journal of Differential Equations 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Proceedings of the American Mathematical Society 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 4 Nonlinear Analysis. Theory, Methods & Applications 3 Calculus of Variations and Partial Differential Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Rocky Mountain Journal of Mathematics 2 Funkcialaj Ekvacioj. Serio Internacia 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Rendiconti del Seminario Matematico della Università di Padova 2 Rendiconti del Seminario Matematico 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 Journal of Convex Analysis 2 Discrete and Continuous Dynamical Systems 2 Bollettino della Unione Matematica Italiana. Series IV 2 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 2 Lecture Notes in Mathematics 2 Advances in Calculus of Variations 2 Libertas Mathematica. New Series 1 Houston Journal of Mathematics 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Annales Polonici Mathematici 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 Asymptotic Analysis 1 Differential and Integral Equations 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 SIAM Journal on Optimization 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Annales Mathematicae Silesianae 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the American Mathematical Society 1 Grundlehren der Mathematischen Wissenschaften 1 Journal of Fixed Point Theory and Applications 1 Rendiconti. Classe di Scienze Matematiche e Naturali 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Prace Matematyczne all top 5 Fields 62 Calculus of variations and optimal control; optimization (49-XX) 26 Ordinary differential equations (34-XX) 18 General topology (54-XX) 12 Operator theory (47-XX) 11 Partial differential equations (35-XX) 7 Systems theory; control (93-XX) 6 Measure and integration (28-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 1,572 times in 1,338 Documents Cited by ▼ Year ▼ Differential inclusions. Set-valued maps and viability theory. Zbl 0538.34007Aubin, Jean-Pierre; Cellina, Arrigo 900 1984 Approximation of set valued functions and fixed point theorems. Zbl 0187.07701Cellina, Arrigo 44 1969 A new approach to the definition of topological degree for multi-valued mappings. Zbl 0194.44801Cellina, Arrigo; Lasota, A. 43 1969 On a classical problem of the calculus of variations without convexity assumptions. Zbl 0702.49002Cellina, A.; Colombo, G. 37 1990 On mimima of a functional of the gradient: Sufficient conditions. Zbl 0784.49022Cellina, Arrigo 30 1993 A class of absolute retracts in spaces of integrable functions. Zbl 0747.34014Bressan, Alberto; Cellina, Arrigo; Fryszkowski, Andrzej 30 1991 Continuous selections and differential relations. Zbl 0279.54007Antosiewicz, H. A.; Cellina, A. 30 1975 The classical problem of the calculus of variations in the autonomous case: relaxation and Lipschitzianity of solutions. Zbl 1064.49027Cellina, Arrigo 28 2004 On minima of a functional of the gradient: Necessary conditions. Zbl 0784.49021Cellina, Arrigo 24 1993 On the bounded slope condition and the validity of the Euler Lagrange equation. Zbl 1013.49015Cellina, Arrigo 24 2001 On the set of solutions to Lipschitzian differential inclusions. Zbl 0723.34009Cellina, Arrigo 22 1988 On the minimum problem for a class of non-coercive functionals. Zbl 0856.49010Cellina, Arrigo; Treu, Giulia; Zagatti, Sandro 17 1996 Representation of the attainable set for Lipschitzian differential inclusions. Zbl 0752.34012Cellina, Arrigo; Ornelas, António 17 1992 On the nonexistence of solutions of differential equations in nonreflexive spaces. Zbl 0277.34066Cellina, Arrigo 17 1972 Non-convex perturbations of maximal monotone differential inclusions. Zbl 0542.47036Cellina, A.; Marchi, M. V. 17 1983 A theorem on the approximation of compact multi-valued mappings. Zbl 0194.44704Cellina, Arrigo 16 1969 Existence of Lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case. Zbl 1030.49039Cellina, A.; Ferriero, A. 15 2003 Comparison results and estimates on the gradient without strict convexity. Zbl 1356.49033Cellina, A. 15 2007 On minima of radially symmetric functionals of the gradient. Zbl 0819.49013Cellina, Arrigo; Perrotta, Stefania 14 1994 On a problem of potential wells. Zbl 0880.49005Cellina, Arrigo; Perrotta, Stefania 14 1995 On evolution equations having monotonicities of opposite sign. Zbl 0719.34030Cellina, Arrigo; Staicu, Vasile 14 1991 On the existence of solutions of ordinary differential equations in Banach spaces. Zbl 0271.34071Cellina, Arrigo 13 1971 Minimizing a functional depending on \(\nabla u\) and on \(u\). Zbl 0876.49001Cellina, Arrigo 12 1997 A further result on the approximation of set-valued mappings. Zbl 0198.28003Cellina, Arrigo 12 1970 A view on differential inclusions. Zbl 1182.34013Cellina, A. 12 2005 On passing to the limit for non-convex variational problems. Zbl 0808.49020Amar, Micol; Cellina, Arrigo 11 1994 Monotone trajectories of multivalued dynamical systems. Zbl 0392.49019Aubin, Jean-Pierre; Cellina, Arrigo; Nohel, John 11 1978 An existence result in a problem of the vectorial case of the calculus of variations. Zbl 0822.49009Cellina, Arrigo; Zagatti, Sandro 9 1995 Multivalued differential equations and ordinary differential equations. Zbl 0191.38802Cellina, Arrigo 9 1970 The existence question in the calculus of variations: A density result. Zbl 0815.49001Cellina, Arrigo; Mariconda, Carlo 9 1994 The regularity of solutions to some variational problems, including the \(p\)-Laplace equation for \(2\leq p<3\). Zbl 1381.49015Cellina, Arrigo 9 2017 Existence of solutions to differential inclusions and to time optimal control problems in the autonomous case. Zbl 1058.49003Cellina, Arrigo; Ornelas, António 8 2003 A version of Olech’s lemma in a problem of the calculus of variations. Zbl 0874.49013Cellina, Arrigo; Zagatti, Sandro 8 1994 Upper semicontinuity of Nemytskij operators. Zbl 0753.47046Cellina, A.; Fryszkowski, A.; Rzezuchowski, T. 8 1991 Upper semicontinuous differential inclusions without convexity. Zbl 0698.34014Bressan, A.; Cellina, A.; Colombo, G. 8 1989 On the strong maximum principle. Zbl 0985.35010Cellina, Arrigo 7 2002 On uniqueness almost everywhere for monotonic differential inclusions. Zbl 0837.34023Cellina, Arrigo 6 1995 On the local existence of solutions of ordinary differential equations. Zbl 0255.34053Cellina, A. 6 1972 On mappings defined by differential equations. Zbl 0283.47039Cellina, Arrigo 6 1971 Optimal shape design. Lectures given at the joint CIM/CIME summer school, Tróia, Portugal, June 1–6, 1998. Zbl 0954.00031 6 2000 Reparametrizations and approximate values of integrals of the calculus of variations. Zbl 1058.49009Cellina, A.; Ferriero, A.; Marchini, E. M. 5 2003 On the validity of the maximum principle and of the Euler–Lagrange equation for a minimum problem depending on the gradient. Zbl 0926.49014Cellina, Arrigo; Perrotta, Stefania 5 1998 Convexity and the closure of the solution set to differential inclusions. Zbl 0719.34031Cellina, Arrigo; Ornelas, António 5 1990 Existence and nonexistence of solutions to a variational problem on a square. Zbl 0980.49020Celada, P.; Cellina, A. 5 1998 The nonoccurrence of the Lavrentiev phenomenon for a class of variational functionals. Zbl 1268.49020Bonfanti, Giovanni; Cellina, Arrigo 5 2013 Uniqueness and comparison results for functionals depending on \(\nabla u\) and on \(u\). Zbl 1262.49024Cellina, A. 4 2007 A selection theorem. Zbl 0362.54010Cellina, Arrigo 4 1977 Kuratowski’s index of a decomposable set. Zbl 0766.54015Cellina, Arrigo; Mariconda, Carlo 4 1989 On the validity of the Euler-Lagrange equation. Zbl 1015.49018Cellina, Arrigo 4 2001 A case of regularity of solutions to nonregular problems. Zbl 1322.49062Cellina, Arrigo 4 2015 On the non-occurrence of the Lavrentiev phenomenon. Zbl 1257.49036Bonfanti, Giovanni; Cellina, Arrigo 4 2013 Comparison results without strict convexity. Zbl 1158.49025Cellina, Arrigo; Mariconda, Carlo; Treu, Giulia 3 2009 Continuous extensions of multifunctions. Zbl 0342.54008Antosiewicz, H. A.; Cellina, A. 3 1977 A continuous version of Liapunov’s convexity theorem. Zbl 0647.28002Cellina, Arrigo; Colombo, Giovanni; Fonda, Alessandro 3 1988 On gradient flows. Zbl 0927.37007Cellina, Arrigo; Vornicescu, Mihai 3 1998 The higher integrability and the validity of the Euler–Lagrange equation for solutions to variational problems. Zbl 1244.49030Bonfanti, Giovanni; Cellina, Arrigo; Mazzola, Marco 3 2012 On the existence of solutions to a class of minimum time control problems and applications to Fermat’s principle and to the brachystocrone. Zbl 1129.49301Cellina, A.; Ferriero, A.; Marchini, E. M. 3 2006 On the higher differentiability of solutions to a class of variational problems of fast growth. Zbl 1401.49051Cellina, Arrigo; Staicu, Vasile 2 2018 The existence of solutions to variational problems of slow growth. Zbl 1334.49001Cellina, Arrigo; Staicu, Vasile 2 2016 Strict convexity and the regularity of solutions to variational problems. Zbl 1344.49059Cellina, Arrigo 2 2016 Radially symmetric solutions of a class of problems of the calculus of variations without convexity assumptions. Zbl 0757.49008Cellina, Arrigo; Flores, Fabián 2 1992 The role of approximation in the theory of multivalued mappings. Zbl 0233.34071Cellina, Arrigo 2 1971 The regularity of solutions to some variational problems, including the \(p\)-Laplace equation for \(3\leq p < 4\). Zbl 1397.49053Cellina, Arrigo 2 2018 A fixed point theorem for subsets of \(L^ 1\). Zbl 0579.47063Cellina, Arrigo 2 1984 Continuous extensions of selections. Zbl 0656.54015Cellina, Arrigo; Solimini, Sergio 2 1987 The validity of the Euler-Lagrange equation for solutions to variational problems. Zbl 1308.49017Cellina, Arrigo 2 2014 Approximate selections and fixed points for upper semicontinuous maps with decomposable values. Zbl 0606.54018Cellina, Arrigo; Colombo, Giovanni; Fonda, Alessandro 2 1986 On the existence of variations, possibly with pointwise gradient constraints. Zbl 1124.49012Bertone, Simone; Cellina, Arrigo 2 2007 On Hopf’s lemma and the strong maximum principle. Zbl 1116.35031Bertone, S.; Cellina, A.; Marchini, E. M. 2 2006 The validity of the Euler-Lagrange equation. Zbl 1209.49026Bonfanti, Giovanni; Cellina, Arrigo 1 2010 Higher integrability for solutions to variational problems with fast growth. Zbl 1207.49010Cellina, Arrigo; Mazzola, Marco 1 2011 On the prolongability of solutions of autonomous differential equations. Zbl 0315.34071Cellina, A.; Pianigiani, G. 1 1974 Continuous extensions: Their construction and their application in the theory of differential equations. Zbl 0316.54008Antosiewicz, H. A.; Cellina, A. 1 1975 A correction to the paper “On minima of radially symmetric functionals of the gradient”. Zbl 1127.49302Cellina, A.; Perrotta, S. 1 2008 Methods of nonconvex analysis. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo (CIME) held at Varenna, Italy, June 15-23, 1989. Zbl 0705.00022 1 1990 On the stability properties of a third order system. Zbl 0164.10201Szegö, G. P.; Olech, C.; Cellina, A. 1 1968 Comportamento asintotico di una equazione integrale non lineare. Zbl 0168.10001Albertoni, Sergio; Cellina, Arrigo; Szegö, George P. 1 1966 On the surjectivity of multi-valued dissipative mappings. Zbl 0209.44902Barbu, Viorel; Cellina, Arrigo 1 1970 Fixed points of non-continuous mappings. Zbl 0216.17303Cellina, A. 1 1970 Well posedness for differential inclusions on closed sets. Zbl 0731.34012Cellina, Arrigo; Staicu, Vasile 1 1991 Higher differentiability of solutions to variational problems. Zbl 1251.49050Cellina, Arrigo; Mazzola, Marco 1 2012 The Euler Lagrange equation and the Pontriagin maximun principle. Zbl 1178.49021Cellina, Arrigo 1 2005 On the higher differentiability of solutions to a class of variational problems of fast growth. Zbl 1401.49051Cellina, Arrigo; Staicu, Vasile 2 2018 The regularity of solutions to some variational problems, including the \(p\)-Laplace equation for \(3\leq p < 4\). Zbl 1397.49053Cellina, Arrigo 2 2018 The regularity of solutions to some variational problems, including the \(p\)-Laplace equation for \(2\leq p<3\). Zbl 1381.49015Cellina, Arrigo 9 2017 The existence of solutions to variational problems of slow growth. Zbl 1334.49001Cellina, Arrigo; Staicu, Vasile 2 2016 Strict convexity and the regularity of solutions to variational problems. Zbl 1344.49059Cellina, Arrigo 2 2016 A case of regularity of solutions to nonregular problems. Zbl 1322.49062Cellina, Arrigo 4 2015 The validity of the Euler-Lagrange equation for solutions to variational problems. Zbl 1308.49017Cellina, Arrigo 2 2014 The nonoccurrence of the Lavrentiev phenomenon for a class of variational functionals. Zbl 1268.49020Bonfanti, Giovanni; Cellina, Arrigo 5 2013 On the non-occurrence of the Lavrentiev phenomenon. Zbl 1257.49036Bonfanti, Giovanni; Cellina, Arrigo 4 2013 The higher integrability and the validity of the Euler–Lagrange equation for solutions to variational problems. Zbl 1244.49030Bonfanti, Giovanni; Cellina, Arrigo; Mazzola, Marco 3 2012 Higher differentiability of solutions to variational problems. Zbl 1251.49050Cellina, Arrigo; Mazzola, Marco 1 2012 Higher integrability for solutions to variational problems with fast growth. Zbl 1207.49010Cellina, Arrigo; Mazzola, Marco 1 2011 The validity of the Euler-Lagrange equation. Zbl 1209.49026Bonfanti, Giovanni; Cellina, Arrigo 1 2010 Comparison results without strict convexity. Zbl 1158.49025Cellina, Arrigo; Mariconda, Carlo; Treu, Giulia 3 2009 A correction to the paper “On minima of radially symmetric functionals of the gradient”. Zbl 1127.49302Cellina, A.; Perrotta, S. 1 2008 Comparison results and estimates on the gradient without strict convexity. Zbl 1356.49033Cellina, A. 15 2007 Uniqueness and comparison results for functionals depending on \(\nabla u\) and on \(u\). Zbl 1262.49024Cellina, A. 4 2007 On the existence of variations, possibly with pointwise gradient constraints. Zbl 1124.49012Bertone, Simone; Cellina, Arrigo 2 2007 On the existence of solutions to a class of minimum time control problems and applications to Fermat’s principle and to the brachystocrone. Zbl 1129.49301Cellina, A.; Ferriero, A.; Marchini, E. M. 3 2006 On Hopf’s lemma and the strong maximum principle. Zbl 1116.35031Bertone, S.; Cellina, A.; Marchini, E. M. 2 2006 A view on differential inclusions. Zbl 1182.34013Cellina, A. 12 2005 The Euler Lagrange equation and the Pontriagin maximun principle. Zbl 1178.49021Cellina, Arrigo 1 2005 The classical problem of the calculus of variations in the autonomous case: relaxation and Lipschitzianity of solutions. Zbl 1064.49027Cellina, Arrigo 28 2004 Existence of Lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case. Zbl 1030.49039Cellina, A.; Ferriero, A. 15 2003 Existence of solutions to differential inclusions and to time optimal control problems in the autonomous case. Zbl 1058.49003Cellina, Arrigo; Ornelas, António 8 2003 Reparametrizations and approximate values of integrals of the calculus of variations. Zbl 1058.49009Cellina, A.; Ferriero, A.; Marchini, E. M. 5 2003 On the strong maximum principle. Zbl 0985.35010Cellina, Arrigo 7 2002 On the bounded slope condition and the validity of the Euler Lagrange equation. Zbl 1013.49015Cellina, Arrigo 24 2001 On the validity of the Euler-Lagrange equation. Zbl 1015.49018Cellina, Arrigo 4 2001 Optimal shape design. Lectures given at the joint CIM/CIME summer school, Tróia, Portugal, June 1–6, 1998. Zbl 0954.00031 6 2000 On the validity of the maximum principle and of the Euler–Lagrange equation for a minimum problem depending on the gradient. Zbl 0926.49014Cellina, Arrigo; Perrotta, Stefania 5 1998 Existence and nonexistence of solutions to a variational problem on a square. Zbl 0980.49020Celada, P.; Cellina, A. 5 1998 On gradient flows. Zbl 0927.37007Cellina, Arrigo; Vornicescu, Mihai 3 1998 Minimizing a functional depending on \(\nabla u\) and on \(u\). Zbl 0876.49001Cellina, Arrigo 12 1997 On the minimum problem for a class of non-coercive functionals. Zbl 0856.49010Cellina, Arrigo; Treu, Giulia; Zagatti, Sandro 17 1996 On a problem of potential wells. Zbl 0880.49005Cellina, Arrigo; Perrotta, Stefania 14 1995 An existence result in a problem of the vectorial case of the calculus of variations. Zbl 0822.49009Cellina, Arrigo; Zagatti, Sandro 9 1995 On uniqueness almost everywhere for monotonic differential inclusions. Zbl 0837.34023Cellina, Arrigo 6 1995 On minima of radially symmetric functionals of the gradient. Zbl 0819.49013Cellina, Arrigo; Perrotta, Stefania 14 1994 On passing to the limit for non-convex variational problems. Zbl 0808.49020Amar, Micol; Cellina, Arrigo 11 1994 The existence question in the calculus of variations: A density result. Zbl 0815.49001Cellina, Arrigo; Mariconda, Carlo 9 1994 A version of Olech’s lemma in a problem of the calculus of variations. Zbl 0874.49013Cellina, Arrigo; Zagatti, Sandro 8 1994 On mimima of a functional of the gradient: Sufficient conditions. Zbl 0784.49022Cellina, Arrigo 30 1993 On minima of a functional of the gradient: Necessary conditions. Zbl 0784.49021Cellina, Arrigo 24 1993 Representation of the attainable set for Lipschitzian differential inclusions. Zbl 0752.34012Cellina, Arrigo; Ornelas, António 17 1992 Radially symmetric solutions of a class of problems of the calculus of variations without convexity assumptions. Zbl 0757.49008Cellina, Arrigo; Flores, Fabián 2 1992 A class of absolute retracts in spaces of integrable functions. Zbl 0747.34014Bressan, Alberto; Cellina, Arrigo; Fryszkowski, Andrzej 30 1991 On evolution equations having monotonicities of opposite sign. Zbl 0719.34030Cellina, Arrigo; Staicu, Vasile 14 1991 Upper semicontinuity of Nemytskij operators. Zbl 0753.47046Cellina, A.; Fryszkowski, A.; Rzezuchowski, T. 8 1991 Well posedness for differential inclusions on closed sets. Zbl 0731.34012Cellina, Arrigo; Staicu, Vasile 1 1991 On a classical problem of the calculus of variations without convexity assumptions. Zbl 0702.49002Cellina, A.; Colombo, G. 37 1990 Convexity and the closure of the solution set to differential inclusions. Zbl 0719.34031Cellina, Arrigo; Ornelas, António 5 1990 Methods of nonconvex analysis. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo (CIME) held at Varenna, Italy, June 15-23, 1989. Zbl 0705.00022 1 1990 Upper semicontinuous differential inclusions without convexity. Zbl 0698.34014Bressan, A.; Cellina, A.; Colombo, G. 8 1989 Kuratowski’s index of a decomposable set. Zbl 0766.54015Cellina, Arrigo; Mariconda, Carlo 4 1989 On the set of solutions to Lipschitzian differential inclusions. Zbl 0723.34009Cellina, Arrigo 22 1988 A continuous version of Liapunov’s convexity theorem. Zbl 0647.28002Cellina, Arrigo; Colombo, Giovanni; Fonda, Alessandro 3 1988 Continuous extensions of selections. Zbl 0656.54015Cellina, Arrigo; Solimini, Sergio 2 1987 Approximate selections and fixed points for upper semicontinuous maps with decomposable values. Zbl 0606.54018Cellina, Arrigo; Colombo, Giovanni; Fonda, Alessandro 2 1986 Differential inclusions. Set-valued maps and viability theory. Zbl 0538.34007Aubin, Jean-Pierre; Cellina, Arrigo 900 1984 A fixed point theorem for subsets of \(L^ 1\). Zbl 0579.47063Cellina, Arrigo 2 1984 Non-convex perturbations of maximal monotone differential inclusions. Zbl 0542.47036Cellina, A.; Marchi, M. V. 17 1983 Monotone trajectories of multivalued dynamical systems. Zbl 0392.49019Aubin, Jean-Pierre; Cellina, Arrigo; Nohel, John 11 1978 A selection theorem. Zbl 0362.54010Cellina, Arrigo 4 1977 Continuous extensions of multifunctions. Zbl 0342.54008Antosiewicz, H. A.; Cellina, A. 3 1977 Continuous selections and differential relations. Zbl 0279.54007Antosiewicz, H. A.; Cellina, A. 30 1975 Continuous extensions: Their construction and their application in the theory of differential equations. Zbl 0316.54008Antosiewicz, H. A.; Cellina, A. 1 1975 On the prolongability of solutions of autonomous differential equations. Zbl 0315.34071Cellina, A.; Pianigiani, G. 1 1974 On the nonexistence of solutions of differential equations in nonreflexive spaces. Zbl 0277.34066Cellina, Arrigo 17 1972 On the local existence of solutions of ordinary differential equations. Zbl 0255.34053Cellina, A. 6 1972 On the existence of solutions of ordinary differential equations in Banach spaces. Zbl 0271.34071Cellina, Arrigo 13 1971 On mappings defined by differential equations. Zbl 0283.47039Cellina, Arrigo 6 1971 The role of approximation in the theory of multivalued mappings. Zbl 0233.34071Cellina, Arrigo 2 1971 A further result on the approximation of set-valued mappings. Zbl 0198.28003Cellina, Arrigo 12 1970 Multivalued differential equations and ordinary differential equations. Zbl 0191.38802Cellina, Arrigo 9 1970 On the surjectivity of multi-valued dissipative mappings. Zbl 0209.44902Barbu, Viorel; Cellina, Arrigo 1 1970 Fixed points of non-continuous mappings. Zbl 0216.17303Cellina, A. 1 1970 Approximation of set valued functions and fixed point theorems. Zbl 0187.07701Cellina, Arrigo 44 1969 A new approach to the definition of topological degree for multi-valued mappings. Zbl 0194.44801Cellina, Arrigo; Lasota, A. 43 1969 A theorem on the approximation of compact multi-valued mappings. Zbl 0194.44704Cellina, Arrigo 16 1969 On the stability properties of a third order system. Zbl 0164.10201Szegö, G. P.; Olech, C.; Cellina, A. 1 1968 Comportamento asintotico di una equazione integrale non lineare. Zbl 0168.10001Albertoni, Sergio; Cellina, Arrigo; Szegö, George P. 1 1966 all cited Publications top 5 cited Publications all top 5 Cited by 1,507 Authors 26 Cellina, Arrigo 25 Mariconda, Carlo 23 Bressan, Alberto 22 Papageorgiou, Nikolaos S. 20 Migórski, Stanisław 18 Staicu, Vasile 18 Treu, Giulia 17 Crasta, Graziano 14 Colombo, Giovanni 14 Danca, Marius-Florin 13 Frankowska, Hélène 13 Liu, Zhenhai 13 Ornelas, António 12 Huang, Nan-Jing 11 O’Regan, Donal 10 Dacorogna, Bernard 10 De Blasi, Francesco Saverio 9 Górniewicz, Lech 9 Tolstonogov, Aleksandr Aleksandrovich 9 Zaslavski, Alexander Yakovlevich 9 Zeng, Shengda 8 Goncharov, Vladimir V. 8 Huang, Jun 8 Kloeden, Peter Eris 8 Mahmudov, Elimhan Nadir 8 Marcellini, Paolo 8 Pianigiani, Giulio 7 Adly, Samir 7 Agarwal, Ravi P. 7 Benchohra, Mouffak 7 Bettiol, Piernicola 7 Bousquet, Pierre 7 Cârjă, Ovidiu 7 Flåm, Sjur Didrik 7 Han, Zhengzhi 7 Huang, Lihong 7 Kryszewski, Wojciech 7 Ntouyas, Sotiris K. 7 Quincampoix, Marc 7 Rodríguez-López, Jorge 7 Sychev, Mikhail A. 7 Yao, Jen-Chih 7 Zagatti, Sandro 6 Artstein, Zvi 6 Aubin, Jean-Pierre 6 Cao, Jinde 6 Guseinov, Khalik G. 6 Malusa, Annalisa 6 Obukhovskiĭ, Valeriĭ Vladimirovich 6 Ochal, Anna 6 Rezapour, Shahram 6 Teel, Andrew Richard 6 Xue, Xiaoping 5 Ayoola, Ezekiel O. 5 Ben-El-Mechaiekh, Hichem 5 Brogliato, Bernard 5 Chalco-Cano, Yurilev 5 Cojocaru, Monica-Gabriela 5 Etemad, Sina 5 Fryszkowski, Andrzej 5 Gel’man, Boris Danielovich 5 Holá, Ľubica 5 Huang, Xia 5 Křivan, Vlastimil 5 Le, Ba Khiet 5 Lin, Lai-Jiu 5 Lorenz, Thomas 5 Marcelli, Cristina 5 Nieto Roig, Juan Jose 5 Ouahab, Abdelghani 5 Piccoli, Benedetto 5 Repovš, Dušan D. 5 Semenov, Pavel Vladimirovič 5 Serea, Oana-Silvia 5 Soyertem, Mustafa 4 Andres, Jan 4 Bianchini, Stefano 4 Bin, Maojun 4 Bolte, Jérôme 4 Bounkhel, Messaoud 4 Butnariu, Dan 4 Cannarsa, Piermarco 4 Cardaliaguet, Pierre 4 Castaing, Charles 4 Cernea, Aurelian 4 Cichoń, Mieczysław 4 Colombo, Rinaldo M. 4 Cornet, Bernard 4 Cubiotti, Paolo 4 Cupini, Giovanni 4 Darbon, Jerome 4 El-Sayed, Ahmed Mohamed Ahmed 4 Fan, Yingjie 4 Fečkan, Michal 4 Figueroa, Rubén 4 Fragalà, Ilaria 4 Hamani, Samira 4 Hong, Yiguang 4 Ibrahim, Ahmed Gamal 4 Kamenskiĭ, Mikhaĭl Igor’evich ...and 1,407 more Authors all top 5 Cited in 309 Serials 67 Journal of Optimization Theory and Applications 62 Journal of Mathematical Analysis and Applications 59 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 49 Journal of Differential Equations 36 Proceedings of the American Mathematical Society 34 Set-Valued and Variational Analysis 31 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 30 Nonlinear Analysis. Theory, Methods & Applications 26 Set-Valued Analysis 20 SIAM Journal on Control and Optimization 20 Nonlinear Dynamics 19 Calculus of Variations and Partial Differential Equations 19 Advances in Difference Equations 18 Numerical Functional Analysis and Optimization 16 Applied Mathematics and Optimization 16 NoDEA. Nonlinear Differential Equations and Applications 14 Rendiconti del Seminario Matematico della Università di Padova 14 Journal of Global Optimization 12 Applicable Analysis 12 Mathematical Notes 12 Automatica 12 Transactions of the American Mathematical Society 12 Topology and its Applications 11 Journal of Mathematical Economics 11 Systems & Control Letters 11 Stochastic Analysis and Applications 11 Abstract and Applied Analysis 10 Rocky Mountain Journal of Mathematics 10 Zeitschrift für Analysis und ihre Anwendungen 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Optimization 9 Applied Mathematics and Mechanics. (English Edition) 9 Mathematical Programming. Series A. Series B 8 Archive for Rational Mechanics and Analysis 8 Journal of the Franklin Institute 8 Topological Methods in Nonlinear Analysis 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Journal of Functional Analysis 7 Siberian Mathematical Journal 7 Neural Networks 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Journal of Mathematical Sciences (New York) 7 Journal of Convex Analysis 7 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Fixed Point Theory and Applications 6 Bulletin of the Australian Mathematical Society 6 Computers & Mathematics with Applications 6 Applied Mathematics and Computation 6 Circuits, Systems, and Signal Processing 6 Discrete and Continuous Dynamical Systems 6 Acta Mathematica Sinica. English Series 6 Journal of Dynamical and Control Systems 6 Differential Equations 6 Fixed Point Theory and Applications 6 Optimization Letters 5 Israel Journal of Mathematics 5 Czechoslovak Mathematical Journal 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Acta Applicandae Mathematicae 5 Communications on Pure and Applied Analysis 5 Boundary Value Problems 5 Nonlinear Analysis. Hybrid Systems 5 Advances in Calculus of Variations 4 Ukrainian Mathematical Journal 4 Chaos, Solitons and Fractals 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Journal of Approximation Theory 4 Journal of Soviet Mathematics 4 Applied Mathematics Letters 4 MCSS. Mathematics of Control, Signals, and Systems 4 The Annals of Applied Probability 4 Dynamics and Control 4 Automation and Remote Control 4 Journal of Elasticity 4 SIAM Journal on Optimization 4 Computational and Applied Mathematics 4 Positivity 4 Journal of Inequalities and Applications 4 Fractional Calculus & Applied Analysis 4 Nonlinear Analysis. Real World Applications 4 Nonlinear Analysis. Modelling and Control 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Mediterranean Journal of Mathematics 4 SIAM Journal on Imaging Sciences 4 Dynamic Games and Applications 3 International Journal of Theoretical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Demonstratio Mathematica 3 Functional Analysis and its Applications 3 International Journal of Game Theory 3 Kodai Mathematical Journal 3 Mathematica Slovaca 3 Mathematische Zeitschrift 3 Numerische Mathematik 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Numerical Algorithms 3 Doklady Mathematics 3 Mathematics and Mechanics of Solids 3 Communications in Nonlinear Science and Numerical Simulation 3 Differentsial’nye Uravneniya i Protsessy Upravleniya ...and 209 more Serials all top 5 Cited in 46 Fields 479 Ordinary differential equations (34-XX) 472 Calculus of variations and optimal control; optimization (49-XX) 232 Operator theory (47-XX) 193 Systems theory; control (93-XX) 184 Partial differential equations (35-XX) 124 Operations research, mathematical programming (90-XX) 116 General topology (54-XX) 78 Dynamical systems and ergodic theory (37-XX) 70 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 65 Real functions (26-XX) 60 Numerical analysis (65-XX) 54 Biology and other natural sciences (92-XX) 51 Probability theory and stochastic processes (60-XX) 45 Mechanics of deformable solids (74-XX) 40 Measure and integration (28-XX) 37 Functional analysis (46-XX) 32 Global analysis, analysis on manifolds (58-XX) 31 Computer science (68-XX) 20 Integral equations (45-XX) 18 Convex and discrete geometry (52-XX) 17 Approximations and expansions (41-XX) 17 Algebraic topology (55-XX) 15 Mechanics of particles and systems (70-XX) 13 Fluid mechanics (76-XX) 11 Information and communication theory, circuits (94-XX) 10 Quantum theory (81-XX) 7 Differential geometry (53-XX) 7 Statistics (62-XX) 6 Difference and functional equations (39-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Functions of a complex variable (30-XX) 2 Manifolds and cell complexes (57-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year