## Cellina, Arrigo

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 0538.34007
Aubin, Jean-Pierre; Cellina, Arrigo
1984
Approximation of set valued functions and fixed point theorems. Zbl 0187.07701
Cellina, Arrigo
1969
A new approach to the definition of topological degree for multi-valued mappings. Zbl 0194.44801
Cellina, Arrigo; Lasota, A.
1969
On a classical problem of the calculus of variations without convexity assumptions. Zbl 0702.49002
Cellina, A.; Colombo, G.
1990
On mimima of a functional of the gradient: Sufficient conditions. Zbl 0784.49022
Cellina, Arrigo
1993
A class of absolute retracts in spaces of integrable functions. Zbl 0747.34014
Bressan, Alberto; Cellina, Arrigo; Fryszkowski, Andrzej
1991
Continuous selections and differential relations. Zbl 0279.54007
Antosiewicz, H. A.; Cellina, A.
1975
The classical problem of the calculus of variations in the autonomous case: relaxation and Lipschitzianity of solutions. Zbl 1064.49027
Cellina, Arrigo
2004
On minima of a functional of the gradient: Necessary conditions. Zbl 0784.49021
Cellina, Arrigo
1993
On the bounded slope condition and the validity of the Euler Lagrange equation. Zbl 1013.49015
Cellina, Arrigo
2001
On the set of solutions to Lipschitzian differential inclusions. Zbl 0723.34009
Cellina, Arrigo
1988
On the minimum problem for a class of non-coercive functionals. Zbl 0856.49010
Cellina, Arrigo; Treu, Giulia; Zagatti, Sandro
1996
Representation of the attainable set for Lipschitzian differential inclusions. Zbl 0752.34012
Cellina, Arrigo; Ornelas, António
1992
On the nonexistence of solutions of differential equations in nonreflexive spaces. Zbl 0277.34066
Cellina, Arrigo
1972
Non-convex perturbations of maximal monotone differential inclusions. Zbl 0542.47036
Cellina, A.; Marchi, M. V.
1983
A theorem on the approximation of compact multi-valued mappings. Zbl 0194.44704
Cellina, Arrigo
1969
Existence of Lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case. Zbl 1030.49039
Cellina, A.; Ferriero, A.
2003
Comparison results and estimates on the gradient without strict convexity. Zbl 1356.49033
Cellina, A.
2007
On minima of radially symmetric functionals of the gradient. Zbl 0819.49013
Cellina, Arrigo; Perrotta, Stefania
1994
On a problem of potential wells. Zbl 0880.49005
Cellina, Arrigo; Perrotta, Stefania
1995
On evolution equations having monotonicities of opposite sign. Zbl 0719.34030
Cellina, Arrigo; Staicu, Vasile
1991
On the existence of solutions of ordinary differential equations in Banach spaces. Zbl 0271.34071
Cellina, Arrigo
1971
Minimizing a functional depending on $$\nabla u$$ and on $$u$$. Zbl 0876.49001
Cellina, Arrigo
1997
A further result on the approximation of set-valued mappings. Zbl 0198.28003
Cellina, Arrigo
1970
A view on differential inclusions. Zbl 1182.34013
Cellina, A.
2005
On passing to the limit for non-convex variational problems. Zbl 0808.49020
Amar, Micol; Cellina, Arrigo
1994
Monotone trajectories of multivalued dynamical systems. Zbl 0392.49019
Aubin, Jean-Pierre; Cellina, Arrigo; Nohel, John
1978
An existence result in a problem of the vectorial case of the calculus of variations. Zbl 0822.49009
Cellina, Arrigo; Zagatti, Sandro
1995
Multivalued differential equations and ordinary differential equations. Zbl 0191.38802
Cellina, Arrigo
1970
The existence question in the calculus of variations: A density result. Zbl 0815.49001
Cellina, Arrigo; Mariconda, Carlo
1994
The regularity of solutions to some variational problems, including the $$p$$-Laplace equation for $$2\leq p<3$$. Zbl 1381.49015
Cellina, Arrigo
2017
Existence of solutions to differential inclusions and to time optimal control problems in the autonomous case. Zbl 1058.49003
Cellina, Arrigo; Ornelas, António
2003
A version of Olech’s lemma in a problem of the calculus of variations. Zbl 0874.49013
Cellina, Arrigo; Zagatti, Sandro
1994
Upper semicontinuity of Nemytskij operators. Zbl 0753.47046
Cellina, A.; Fryszkowski, A.; Rzezuchowski, T.
1991
Upper semicontinuous differential inclusions without convexity. Zbl 0698.34014
Bressan, A.; Cellina, A.; Colombo, G.
1989
On the strong maximum principle. Zbl 0985.35010
Cellina, Arrigo
2002
On uniqueness almost everywhere for monotonic differential inclusions. Zbl 0837.34023
Cellina, Arrigo
1995
On the local existence of solutions of ordinary differential equations. Zbl 0255.34053
Cellina, A.
1972
On mappings defined by differential equations. Zbl 0283.47039
Cellina, Arrigo
1971
Optimal shape design. Lectures given at the joint CIM/CIME summer school, Tróia, Portugal, June 1–6, 1998. Zbl 0954.00031
2000
Reparametrizations and approximate values of integrals of the calculus of variations. Zbl 1058.49009
Cellina, A.; Ferriero, A.; Marchini, E. M.
2003
On the validity of the maximum principle and of the Euler–Lagrange equation for a minimum problem depending on the gradient. Zbl 0926.49014
Cellina, Arrigo; Perrotta, Stefania
1998
Convexity and the closure of the solution set to differential inclusions. Zbl 0719.34031
Cellina, Arrigo; Ornelas, António
1990
Existence and nonexistence of solutions to a variational problem on a square. Zbl 0980.49020
Celada, P.; Cellina, A.
1998
The nonoccurrence of the Lavrentiev phenomenon for a class of variational functionals. Zbl 1268.49020
Bonfanti, Giovanni; Cellina, Arrigo
2013
Uniqueness and comparison results for functionals depending on $$\nabla u$$ and on $$u$$. Zbl 1262.49024
Cellina, A.
2007
A selection theorem. Zbl 0362.54010
Cellina, Arrigo
1977
Kuratowski’s index of a decomposable set. Zbl 0766.54015
Cellina, Arrigo; Mariconda, Carlo
1989
On the validity of the Euler-Lagrange equation. Zbl 1015.49018
Cellina, Arrigo
2001
A case of regularity of solutions to nonregular problems. Zbl 1322.49062
Cellina, Arrigo
2015
On the non-occurrence of the Lavrentiev phenomenon. Zbl 1257.49036
Bonfanti, Giovanni; Cellina, Arrigo
2013
Comparison results without strict convexity. Zbl 1158.49025
Cellina, Arrigo; Mariconda, Carlo; Treu, Giulia
2009
Continuous extensions of multifunctions. Zbl 0342.54008
Antosiewicz, H. A.; Cellina, A.
1977
A continuous version of Liapunov’s convexity theorem. Zbl 0647.28002
Cellina, Arrigo; Colombo, Giovanni; Fonda, Alessandro
1988
On gradient flows. Zbl 0927.37007
Cellina, Arrigo; Vornicescu, Mihai
1998
The higher integrability and the validity of the Euler–Lagrange equation for solutions to variational problems. Zbl 1244.49030
Bonfanti, Giovanni; Cellina, Arrigo; Mazzola, Marco
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 1129.49301
Cellina, A.; Ferriero, A.; Marchini, E. M.
2006
On the higher differentiability of solutions to a class of variational problems of fast growth. Zbl 1401.49051
Cellina, Arrigo; Staicu, Vasile
2018
The existence of solutions to variational problems of slow growth. Zbl 1334.49001
Cellina, Arrigo; Staicu, Vasile
2016
Strict convexity and the regularity of solutions to variational problems. Zbl 1344.49059
Cellina, Arrigo
2016
Radially symmetric solutions of a class of problems of the calculus of variations without convexity assumptions. Zbl 0757.49008
Cellina, Arrigo; Flores, Fabián
1992
The role of approximation in the theory of multivalued mappings. Zbl 0233.34071
Cellina, Arrigo
1971
The regularity of solutions to some variational problems, including the $$p$$-Laplace equation for $$3\leq p < 4$$. Zbl 1397.49053
Cellina, Arrigo
2018
A fixed point theorem for subsets of $$L^ 1$$. Zbl 0579.47063
Cellina, Arrigo
1984
Continuous extensions of selections. Zbl 0656.54015
Cellina, Arrigo; Solimini, Sergio
1987
The validity of the Euler-Lagrange equation for solutions to variational problems. Zbl 1308.49017
Cellina, Arrigo
2014
Approximate selections and fixed points for upper semicontinuous maps with decomposable values. Zbl 0606.54018
Cellina, Arrigo; Colombo, Giovanni; Fonda, Alessandro
1986
On the existence of variations, possibly with pointwise gradient constraints. Zbl 1124.49012
Bertone, Simone; Cellina, Arrigo
2007
On Hopf’s lemma and the strong maximum principle. Zbl 1116.35031
Bertone, S.; Cellina, A.; Marchini, E. M.
2006
The validity of the Euler-Lagrange equation. Zbl 1209.49026
Bonfanti, Giovanni; Cellina, Arrigo
2010
Higher integrability for solutions to variational problems with fast growth. Zbl 1207.49010
Cellina, Arrigo; Mazzola, Marco
2011
On the prolongability of solutions of autonomous differential equations. Zbl 0315.34071
Cellina, A.; Pianigiani, G.
1974
Continuous extensions: Their construction and their application in the theory of differential equations. Zbl 0316.54008
Antosiewicz, H. A.; Cellina, A.
1975
A correction to the paper “On minima of radially symmetric functionals of the gradient”. Zbl 1127.49302
Cellina, A.; Perrotta, S.
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
1990
On the stability properties of a third order system. Zbl 0164.10201
Szegö, G. P.; Olech, C.; Cellina, A.
1968
Comportamento asintotico di una equazione integrale non lineare. Zbl 0168.10001
Albertoni, Sergio; Cellina, Arrigo; Szegö, George P.
1966
On the surjectivity of multi-valued dissipative mappings. Zbl 0209.44902
Barbu, Viorel; Cellina, Arrigo
1970
Fixed points of non-continuous mappings. Zbl 0216.17303
Cellina, A.
1970
Well posedness for differential inclusions on closed sets. Zbl 0731.34012
Cellina, Arrigo; Staicu, Vasile
1991
Higher differentiability of solutions to variational problems. Zbl 1251.49050
Cellina, Arrigo; Mazzola, Marco
2012
The Euler Lagrange equation and the Pontriagin maximun principle. Zbl 1178.49021
Cellina, Arrigo
2005
On the higher differentiability of solutions to a class of variational problems of fast growth. Zbl 1401.49051
Cellina, Arrigo; Staicu, Vasile
2018
The regularity of solutions to some variational problems, including the $$p$$-Laplace equation for $$3\leq p < 4$$. Zbl 1397.49053
Cellina, Arrigo
2018
The regularity of solutions to some variational problems, including the $$p$$-Laplace equation for $$2\leq p<3$$. Zbl 1381.49015
Cellina, Arrigo
2017
The existence of solutions to variational problems of slow growth. Zbl 1334.49001
Cellina, Arrigo; Staicu, Vasile
2016
Strict convexity and the regularity of solutions to variational problems. Zbl 1344.49059
Cellina, Arrigo
2016
A case of regularity of solutions to nonregular problems. Zbl 1322.49062
Cellina, Arrigo
2015
The validity of the Euler-Lagrange equation for solutions to variational problems. Zbl 1308.49017
Cellina, Arrigo
2014
The nonoccurrence of the Lavrentiev phenomenon for a class of variational functionals. Zbl 1268.49020
Bonfanti, Giovanni; Cellina, Arrigo
2013
On the non-occurrence of the Lavrentiev phenomenon. Zbl 1257.49036
Bonfanti, Giovanni; Cellina, Arrigo
2013
The higher integrability and the validity of the Euler–Lagrange equation for solutions to variational problems. Zbl 1244.49030
Bonfanti, Giovanni; Cellina, Arrigo; Mazzola, Marco
2012
Higher differentiability of solutions to variational problems. Zbl 1251.49050
Cellina, Arrigo; Mazzola, Marco
2012
Higher integrability for solutions to variational problems with fast growth. Zbl 1207.49010
Cellina, Arrigo; Mazzola, Marco
2011
The validity of the Euler-Lagrange equation. Zbl 1209.49026
Bonfanti, Giovanni; Cellina, Arrigo
2010
Comparison results without strict convexity. Zbl 1158.49025
Cellina, Arrigo; Mariconda, Carlo; Treu, Giulia
2009
A correction to the paper “On minima of radially symmetric functionals of the gradient”. Zbl 1127.49302
Cellina, A.; Perrotta, S.
2008
Comparison results and estimates on the gradient without strict convexity. Zbl 1356.49033
Cellina, A.
2007
Uniqueness and comparison results for functionals depending on $$\nabla u$$ and on $$u$$. Zbl 1262.49024
Cellina, A.
2007
On the existence of variations, possibly with pointwise gradient constraints. Zbl 1124.49012
Bertone, Simone; Cellina, Arrigo
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 1129.49301
Cellina, A.; Ferriero, A.; Marchini, E. M.
2006
On Hopf’s lemma and the strong maximum principle. Zbl 1116.35031
Bertone, S.; Cellina, A.; Marchini, E. M.
2006
A view on differential inclusions. Zbl 1182.34013
Cellina, A.
2005
The Euler Lagrange equation and the Pontriagin maximun principle. Zbl 1178.49021
Cellina, Arrigo
2005
The classical problem of the calculus of variations in the autonomous case: relaxation and Lipschitzianity of solutions. Zbl 1064.49027
Cellina, Arrigo
2004
Existence of Lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case. Zbl 1030.49039
Cellina, A.; Ferriero, A.
2003
Existence of solutions to differential inclusions and to time optimal control problems in the autonomous case. Zbl 1058.49003
Cellina, Arrigo; Ornelas, António
2003
Reparametrizations and approximate values of integrals of the calculus of variations. Zbl 1058.49009
Cellina, A.; Ferriero, A.; Marchini, E. M.
2003
On the strong maximum principle. Zbl 0985.35010
Cellina, Arrigo
2002
On the bounded slope condition and the validity of the Euler Lagrange equation. Zbl 1013.49015
Cellina, Arrigo
2001
On the validity of the Euler-Lagrange equation. Zbl 1015.49018
Cellina, Arrigo
2001
Optimal shape design. Lectures given at the joint CIM/CIME summer school, Tróia, Portugal, June 1–6, 1998. Zbl 0954.00031
2000
On the validity of the maximum principle and of the Euler–Lagrange equation for a minimum problem depending on the gradient. Zbl 0926.49014
Cellina, Arrigo; Perrotta, Stefania
1998
Existence and nonexistence of solutions to a variational problem on a square. Zbl 0980.49020
Celada, P.; Cellina, A.
1998
On gradient flows. Zbl 0927.37007
Cellina, Arrigo; Vornicescu, Mihai
1998
Minimizing a functional depending on $$\nabla u$$ and on $$u$$. Zbl 0876.49001
Cellina, Arrigo
1997
On the minimum problem for a class of non-coercive functionals. Zbl 0856.49010
Cellina, Arrigo; Treu, Giulia; Zagatti, Sandro
1996
On a problem of potential wells. Zbl 0880.49005
Cellina, Arrigo; Perrotta, Stefania
1995
An existence result in a problem of the vectorial case of the calculus of variations. Zbl 0822.49009
Cellina, Arrigo; Zagatti, Sandro
1995
On uniqueness almost everywhere for monotonic differential inclusions. Zbl 0837.34023
Cellina, Arrigo
1995
On minima of radially symmetric functionals of the gradient. Zbl 0819.49013
Cellina, Arrigo; Perrotta, Stefania
1994
On passing to the limit for non-convex variational problems. Zbl 0808.49020
Amar, Micol; Cellina, Arrigo
1994
The existence question in the calculus of variations: A density result. Zbl 0815.49001
Cellina, Arrigo; Mariconda, Carlo
1994
A version of Olech’s lemma in a problem of the calculus of variations. Zbl 0874.49013
Cellina, Arrigo; Zagatti, Sandro
1994
On mimima of a functional of the gradient: Sufficient conditions. Zbl 0784.49022
Cellina, Arrigo
1993
On minima of a functional of the gradient: Necessary conditions. Zbl 0784.49021
Cellina, Arrigo
1993
Representation of the attainable set for Lipschitzian differential inclusions. Zbl 0752.34012
Cellina, Arrigo; Ornelas, António
1992
Radially symmetric solutions of a class of problems of the calculus of variations without convexity assumptions. Zbl 0757.49008
Cellina, Arrigo; Flores, Fabián
1992
A class of absolute retracts in spaces of integrable functions. Zbl 0747.34014
Bressan, Alberto; Cellina, Arrigo; Fryszkowski, Andrzej
1991
On evolution equations having monotonicities of opposite sign. Zbl 0719.34030
Cellina, Arrigo; Staicu, Vasile
1991
Upper semicontinuity of Nemytskij operators. Zbl 0753.47046
Cellina, A.; Fryszkowski, A.; Rzezuchowski, T.
1991
Well posedness for differential inclusions on closed sets. Zbl 0731.34012
Cellina, Arrigo; Staicu, Vasile
1991
On a classical problem of the calculus of variations without convexity assumptions. Zbl 0702.49002
Cellina, A.; Colombo, G.
1990
Convexity and the closure of the solution set to differential inclusions. Zbl 0719.34031
Cellina, Arrigo; Ornelas, António
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
1990
Upper semicontinuous differential inclusions without convexity. Zbl 0698.34014
Bressan, A.; Cellina, A.; Colombo, G.
1989
Kuratowski’s index of a decomposable set. Zbl 0766.54015
Cellina, Arrigo; Mariconda, Carlo
1989
On the set of solutions to Lipschitzian differential inclusions. Zbl 0723.34009
Cellina, Arrigo
1988
A continuous version of Liapunov’s convexity theorem. Zbl 0647.28002
Cellina, Arrigo; Colombo, Giovanni; Fonda, Alessandro
1988
Continuous extensions of selections. Zbl 0656.54015
Cellina, Arrigo; Solimini, Sergio
1987
Approximate selections and fixed points for upper semicontinuous maps with decomposable values. Zbl 0606.54018
Cellina, Arrigo; Colombo, Giovanni; Fonda, Alessandro
1986
Differential inclusions. Set-valued maps and viability theory. Zbl 0538.34007
Aubin, Jean-Pierre; Cellina, Arrigo
1984
A fixed point theorem for subsets of $$L^ 1$$. Zbl 0579.47063
Cellina, Arrigo
1984
Non-convex perturbations of maximal monotone differential inclusions. Zbl 0542.47036
Cellina, A.; Marchi, M. V.
1983
Monotone trajectories of multivalued dynamical systems. Zbl 0392.49019
Aubin, Jean-Pierre; Cellina, Arrigo; Nohel, John
1978
A selection theorem. Zbl 0362.54010
Cellina, Arrigo
1977
Continuous extensions of multifunctions. Zbl 0342.54008
Antosiewicz, H. A.; Cellina, A.
1977
Continuous selections and differential relations. Zbl 0279.54007
Antosiewicz, H. A.; Cellina, A.
1975
Continuous extensions: Their construction and their application in the theory of differential equations. Zbl 0316.54008
Antosiewicz, H. A.; Cellina, A.
1975
On the prolongability of solutions of autonomous differential equations. Zbl 0315.34071
Cellina, A.; Pianigiani, G.
1974
On the nonexistence of solutions of differential equations in nonreflexive spaces. Zbl 0277.34066
Cellina, Arrigo
1972
On the local existence of solutions of ordinary differential equations. Zbl 0255.34053
Cellina, A.
1972
On the existence of solutions of ordinary differential equations in Banach spaces. Zbl 0271.34071
Cellina, Arrigo
1971
On mappings defined by differential equations. Zbl 0283.47039
Cellina, Arrigo
1971
The role of approximation in the theory of multivalued mappings. Zbl 0233.34071
Cellina, Arrigo
1971
A further result on the approximation of set-valued mappings. Zbl 0198.28003
Cellina, Arrigo
1970
Multivalued differential equations and ordinary differential equations. Zbl 0191.38802
Cellina, Arrigo
1970
On the surjectivity of multi-valued dissipative mappings. Zbl 0209.44902
Barbu, Viorel; Cellina, Arrigo
1970
Fixed points of non-continuous mappings. Zbl 0216.17303
Cellina, A.
1970
Approximation of set valued functions and fixed point theorems. Zbl 0187.07701
Cellina, Arrigo
1969
A new approach to the definition of topological degree for multi-valued mappings. Zbl 0194.44801
Cellina, Arrigo; Lasota, A.
1969
A theorem on the approximation of compact multi-valued mappings. Zbl 0194.44704
Cellina, Arrigo
1969
On the stability properties of a third order system. Zbl 0164.10201
Szegö, G. P.; Olech, C.; Cellina, A.
1968
Comportamento asintotico di una equazione integrale non lineare. Zbl 0168.10001
Albertoni, Sergio; Cellina, Arrigo; Szegö, George P.
1966
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### 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
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### 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
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### 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)