# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 47 Publications since 1996 Reviewing Activity: 91 Reviews
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#### Co-Authors

 5 single-authored 14 Furi, Massimo 11 Pera, Maria Patrizia 7 Bisconti, Luca 7 Colonius, Fritz 6 Calamai, Alessandro 4 Poggiolini, Laura 3 Lewicka, Marta 1 Benevieri, Pierluigi 1 Fabbri, Roberta 1 Johnson, Russell Allan 1 Pogglioni, Laura 1 San Martin, Luiz Antonio Barrera 1 Shuvalov, Alexander L.
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#### Serials

 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Topological Methods in Nonlinear Analysis 3 NoDEA. Nonlinear Differential Equations and Applications 3 Advanced Nonlinear Studies 2 Mathematical Methods in the Applied Sciences 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Bollettino della Unione Matemàtica Italiana. Serie VII. A 2 Electronic Journal of Differential Equations (EJDE) 2 Discrete and Continuous Dynamical Systems 2 Electronic Journal of Qualitative Theory of Differential Equations 2 Communications on Pure and Applied Analysis 2 Fixed Point Theory and Applications 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 SIAM Journal on Control and Optimization 1 Zeitschrift für Analysis und ihre Anwendungen 1 Set-Valued Analysis 1 Communications in Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Boundary Value Problems 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 31 Ordinary differential equations (34-XX) 17 Dynamical systems and ergodic theory (37-XX) 12 Operator theory (47-XX) 9 Systems theory; control (93-XX) 5 Mechanics of particles and systems (70-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Real functions (26-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH Open

33 Publications have been cited 121 times in 50 Documents Cited by Year
Strong local optimality for a bang-bang trajectory in a Mayer problem. Zbl 1230.49003
2011
On the uniqueness of the fixed point index on differentiable manifolds. Zbl 1082.58008
Furi, Massimo; Pera, Maria Patrizia; Spadini, Marco
2004
On the fixed point index of the flow and applications to periodic solutions of differential equations on manifolds. Zbl 0867.58055
1996
Forced oscillations on manifolds and multiplicity results for periodically perturbed autonomous systems. Zbl 0936.37038
Furi, Massimo; Pera, Maria Patrizia; Spadini, Marco
2000
On the set of harmonic solutions of periodically perturbed autonomous differential equations on manifolds. Zbl 0885.34041
1997
Branches of forced oscillations for periodically perturbed second-order autonomous ODEs on manifolds. Zbl 0929.34032
1999
The fixed point index of the Poincaré translation operator on differentiable manifolds. Zbl 1089.47046
Furi, M.; Pera, M. P.; Spadini, M.
2005
A note on topological methods for a class of differential-algebraic equations. Zbl 1237.34009
2010
Sufficient optimality conditions for a bang-bang trajectory in a Bolza problem. Zbl 1191.49021
2008
About the sign of oriented Fredholm operators between Banach spaces. Zbl 1060.47016
Benevieri, P.; Furi, M.; Pera, M. P.; Spadini, M.
2003
Multiplicity of forced oscillations for the spherical pendulum. Zbl 0913.58049
1998
Uniqueness of local control sets. Zbl 1129.93321
2003
Bang-bang trajectories with a double switching time in the minimum time problem. Zbl 1344.49037
2016
Periodic perturbations with delay of autonomous differential equations on manifolds. Zbl 1193.34141
2009
Harmonic perturbations with delay of periodic separated variables differential equations. Zbl 1365.34117
2015
Branches of harmonic solutions to periodically perturbed coupled differential equations on manifolds. Zbl 1120.34030
2006
Periodic solutions of retarded functional perturbations of autonomous differential equations on manifolds. Zbl 1235.34188
Furi, Massimo; Pera, Maria Patrizia; Spadini, Marco
2011
On the genericity of the multiplicity results for forced oscillations on compact manifolds. Zbl 0952.34032
1999
On the classification of control sets. Zbl 1010.93015
2002
On a class of differential-algebraic equations with infinite delay. Zbl 1340.34295
2011
About the notion of non-$$T$$-resonance and applications to topological multiplicity results for ODEs on differentiable manifolds. Zbl 1342.34058
2015
Harmonic solutions to perturbations of periodic separated variables ODEs on manifolds. Zbl 1054.34074
2003
Local inversion of planar maps with nice nondifferentiability structure. Zbl 1273.26016
2013
Corrigendum to: “On a class of differential-algebraic equations with infinite delay”. Zbl 1340.34256
2012
Sunflower model: time-dependent coefficients and topology of the periodic solutions set. Zbl 1333.34119
2015
Branches of forced oscillations for a class of constrained ODEs: a topological approach. Zbl 1259.34030
2012
A set of axioms for the degree of a tangent vector field on differentiable manifolds. Zbl 1196.57026
Furi, Massimo; Pera, Maria Patrizia; Spadini, Marco
2010
Branches of forced oscillations induced by a delayed periodic force. Zbl 1412.70025
Calamai, Alessandro; Pera, Maria Patrizia; Spadini, Marco
2019
Bifurcation phenomena in control flows. Zbl 1216.37007
Colonius, Fritz; Fabbri, Roberta; Johnson, Russell; Spadini, Marco
2007
Branches of forced oscillations in degenerate systems of second-order ODEs. Zbl 1151.34034
2008
Periodic perturbations of constrained motion problems on a class of implicitly defined manifolds. Zbl 1320.34070
2015
Multiplicity of forced oscillations for the spherical pendulum acted on by a retarded periodic force. Zbl 1381.34087
Calamai, Alessandro; Pera, Maria Patrizia; Spadini, Marco
2017
Multiplicity of forced oscillations for scalar retarded functional differential equations. Zbl 1395.34074
Calamai, Alessandro; Pera, Maria Patrizia; Spadini, Marco
2018
Branches of forced oscillations induced by a delayed periodic force. Zbl 1412.70025
Calamai, Alessandro; Pera, Maria Patrizia; Spadini, Marco
2019
Multiplicity of forced oscillations for scalar retarded functional differential equations. Zbl 1395.34074
Calamai, Alessandro; Pera, Maria Patrizia; Spadini, Marco
2018
Multiplicity of forced oscillations for the spherical pendulum acted on by a retarded periodic force. Zbl 1381.34087
Calamai, Alessandro; Pera, Maria Patrizia; Spadini, Marco
2017
Bang-bang trajectories with a double switching time in the minimum time problem. Zbl 1344.49037
2016
Harmonic perturbations with delay of periodic separated variables differential equations. Zbl 1365.34117
2015
About the notion of non-$$T$$-resonance and applications to topological multiplicity results for ODEs on differentiable manifolds. Zbl 1342.34058
2015
Sunflower model: time-dependent coefficients and topology of the periodic solutions set. Zbl 1333.34119
2015
Periodic perturbations of constrained motion problems on a class of implicitly defined manifolds. Zbl 1320.34070
2015
Local inversion of planar maps with nice nondifferentiability structure. Zbl 1273.26016
2013
Corrigendum to: “On a class of differential-algebraic equations with infinite delay”. Zbl 1340.34256
2012
Branches of forced oscillations for a class of constrained ODEs: a topological approach. Zbl 1259.34030
2012
Strong local optimality for a bang-bang trajectory in a Mayer problem. Zbl 1230.49003
2011
Periodic solutions of retarded functional perturbations of autonomous differential equations on manifolds. Zbl 1235.34188
Furi, Massimo; Pera, Maria Patrizia; Spadini, Marco
2011
On a class of differential-algebraic equations with infinite delay. Zbl 1340.34295
2011
A note on topological methods for a class of differential-algebraic equations. Zbl 1237.34009
2010
A set of axioms for the degree of a tangent vector field on differentiable manifolds. Zbl 1196.57026
Furi, Massimo; Pera, Maria Patrizia; Spadini, Marco
2010
Periodic perturbations with delay of autonomous differential equations on manifolds. Zbl 1193.34141
2009
Sufficient optimality conditions for a bang-bang trajectory in a Bolza problem. Zbl 1191.49021
2008
Branches of forced oscillations in degenerate systems of second-order ODEs. Zbl 1151.34034
2008
Bifurcation phenomena in control flows. Zbl 1216.37007
Colonius, Fritz; Fabbri, Roberta; Johnson, Russell; Spadini, Marco
2007
Branches of harmonic solutions to periodically perturbed coupled differential equations on manifolds. Zbl 1120.34030
2006
The fixed point index of the Poincaré translation operator on differentiable manifolds. Zbl 1089.47046
Furi, M.; Pera, M. P.; Spadini, M.
2005
On the uniqueness of the fixed point index on differentiable manifolds. Zbl 1082.58008
Furi, Massimo; Pera, Maria Patrizia; Spadini, Marco
2004
About the sign of oriented Fredholm operators between Banach spaces. Zbl 1060.47016
Benevieri, P.; Furi, M.; Pera, M. P.; Spadini, M.
2003
Uniqueness of local control sets. Zbl 1129.93321
2003
Harmonic solutions to perturbations of periodic separated variables ODEs on manifolds. Zbl 1054.34074
2003
On the classification of control sets. Zbl 1010.93015
2002
Forced oscillations on manifolds and multiplicity results for periodically perturbed autonomous systems. Zbl 0936.37038
Furi, Massimo; Pera, Maria Patrizia; Spadini, Marco
2000
Branches of forced oscillations for periodically perturbed second-order autonomous ODEs on manifolds. Zbl 0929.34032
1999
On the genericity of the multiplicity results for forced oscillations on compact manifolds. Zbl 0952.34032
1999
Multiplicity of forced oscillations for the spherical pendulum. Zbl 0913.58049
1998
On the set of harmonic solutions of periodically perturbed autonomous differential equations on manifolds. Zbl 0885.34041
1997
On the fixed point index of the flow and applications to periodic solutions of differential equations on manifolds. Zbl 0867.58055
1996
all top 5

#### Cited by 44 Authors

 19 Spadini, Marco 7 Furi, Massimo 7 Poggiolini, Laura 6 Calamai, Alessandro 6 Pera, Maria Patrizia 5 Bisconti, Luca 5 Colonius, Fritz 4 Staecker, Peter Christopher 2 Benevieri, Pierluigi 2 Kızıl, Eyüp 2 Kliemann, Wolfgang H. 2 San Martin, Luiz Antonio Barrera 2 Stefani, Gianna 1 Alsaedy, Ammar 1 Aronna, María Soledad 1 Battauz, Anna 1 Benedetti, Irene 1 Bernhardt, Chris 1 Bonnans, Joseph Frédéric 1 Chen, Zhijing 1 Chiappinelli, Raffaele 1 Chittaro, Francesca C. 1 Dalbono, Francesca 1 Felgenhauer, Ursula 1 Franek, Peter 1 Goh, Bean San 1 Gonçalves, Daciberg Lima 1 Graf, Isabell 1 He, Xiaolong 1 Huang, Yu 1 Iannizzotto, Antonio 1 Kawan, Christoph 1 Kokocki, Piotr 1 Ledzewicz, Urszula 1 Lewicka, Marta 1 Ratschan, Stefan 1 Ruiz del Portal, Francisco Romero 1 Salazar, José Miguel 1 Schättler, Heinz Michael 1 Stuart, Charles Alexander 1 Tarkhanov, Nikolai N. 1 Udom, Akaninyene Udo 1 Yuan, Xiaoping 1 Zanolin, Fabio
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#### Cited in 31 Serials

 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Advanced Nonlinear Studies 3 Journal of Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 2 Mathematical Methods in the Applied Sciences 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 Topology and its Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Dynamical and Control Systems 2 Communications on Pure and Applied Analysis 2 Fixed Point Theory and Applications 2 Journal of Fixed Point Theory and Applications 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Systems & Control Letters 1 Zeitschrift für Analysis und ihre Anwendungen 1 Optimization 1 MCSS. Mathematics of Control, Signals, and Systems 1 Mathematical Programming. Series A. Series B 1 Discrete and Continuous Dynamical Systems 1 Differential Equations and Dynamical Systems 1 Communications in Contemporary Mathematics 1 Brazilian Journal of Probability and Statistics 1 Boundary Value Problems 1 GAMM-Mitteilungen 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Siberian Federal University. Mathematics & Physics
all top 5

#### Cited in 20 Fields

 19 Ordinary differential equations (34-XX) 14 Operator theory (47-XX) 14 Systems theory; control (93-XX) 12 Dynamical systems and ergodic theory (37-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Algebraic topology (55-XX) 4 Partial differential equations (35-XX) 4 General topology (54-XX) 4 Mechanics of particles and systems (70-XX) 2 Real functions (26-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Biology and other natural sciences (92-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)