Personale

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English

Curriculum

Maria Patrizia PERA

Ruolo attuale:: Professore Ordinario
SSD:: MATH-03/A - Analisi matematica
Afferenza organizzativa:: Dipartimento di Matematica e Informatica 'Ulisse Dini'

Recapiti

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Stanza n. 116 (ex 307)

Maria Patrizia PERA

Curriculum

Nata a Genova il 23 Giugno 1954, sposata, due figlie, abito a Firenze.

- diploma di maturita' classica presso il Liceo Andrea D'Oria di Genova con la votazione di 60/60;

- borsa di studio CNR per laureandi (a.a.1976/77);

- laurea in Matematica con lode il 14 Luglio 1977 presso l'Università di Genova (tesi di Analisi Convessa, relatore il Prof. J.P. Cecconi);

- borsa di studio CNR per l'interno presso l'Universita' di Firenze dal 1/1/1978 al 26/10/1981 (direttore di ricerca il Prof.M.Furi);

- ricercatore universitario di Analisi Matematica dal 1981 al 1988, presso la Facolta' di Ingegneria dell'Universita' di Firenze;

- professore associato nel settore MAT/05 (Analisi Matematica) dal 1988 al 1992 presso la Facolta' di Scienze dell'Universita' di Siena e dal 1992 al 2005 presso la Facolta' di Ingegneria dell'Universita' di Firenze;

- professore ordinario nel settore MAT/05 (Analisi Matematica) dal 2005, presso la Facolta' di Ingegneria dell'Universita' di Firenze, attualmente afferente al Dipartimento di Matematica e Informatica ''Ulisse Dini''.

Campi di ricerca: Analisi Funzionale Non Lineare, Equazioni Differenziali Ordinarie.

Argomenti di ricerca piu' recenti: biforcazione globale, soluzioni periodiche di equazioni differenziali funzionali con ritardo, problemi agli autovalori non lineari.

Organizzazione convegni scientifici (piu' recenti) :

- convegno internazionale Topological Methods, Differential Equations and Dynamical Systems (Firenze, 13-16 Giugno 2007), in parte finanziato con fondi PRIN 2005;

- International Workshop on Topological and Variational Methods for ODEs, Firenze 3-4 Giugno 2014;

- convegno internazionale Differential Inclusions and Set Valued Maps, Firenze 26-27 Novembre 2015;

- International Conference on New Directions in Nonautonomous Dynamical Systems, Firenze 31 Gennaio-3 Febbraio 2017.

Organizzazione di un corso CIME dal titolo "Stability and Bifurcation for Non-Autonomous Differential Equations'', Cetraro (Cs), 20 -25 Giugno 2011 (con R.Johnson);

Editor della rivista Mathematical Problems in Engeneering. Referee per numerose riviste internazionali (Annali di Matematica Pura e Applicata, Boundary Value Problems, Differential Equations and Dynamical Systems, Fixed Point Theory, Journal of Mathematical Analysis and Applications, Mathematical Methods in Applied Sciences,ecc).

Referee per il Mathematical Reviews.

Responsabile locale del Progetto PRIN 2009 "Equazioni Differenziali Ordinarie e Applicazioni" (subentrata a M.Furi), coordinatore nazionale F.Zanolin.

Responsabile locale del Progetto PRIN 2022 "Nonlinear Differential Problems with Applications to Real Phenomena", coordinatore nazionale G.Bonanno.

Responsabile di vari assegni di ricerca dell'Ateneo di Firenze.

Ho fatto parte di commissioni di concorso per: Assegni di ricerca, Ricercatore a tempo indeterminato e a tempo determinato, Professore associato, conferma per Professore associato.

Valutatrice di Progetti SIR 2014 del MIUR.

Valutatrice come referee esterno di progetti di ricerca di Ateneo.

Membro del collegio dei docenti del Dottorato di Ricerca in Matematica Informatica e Statistica (Università di Firenze, Università di Perugia e Indam).

Presidente della Commissione di Indirizzo e Autovalutazione del Dipartimento di Matematica e Informatica ''Ulisse Dini'' dell'Universita' di Firenze dal 1 Novembre 2016.

Aderisco al gruppo GNAMPA dell'INDAM nella sezione Equazioni Differenziali e Sistemi Dinamici.

Sono socia dell'Unione Matematica Italiana (UMI).

Attivita' didattica

Ho tenuto corsi di Analisi Matematica 1, Analisi Matematica 2, Equazioni Differenziali Ordinarie nei Corsi di laurea in Ingegneria Meccanica, Ingegneria Elettrica e Ingegneria Gestionale dell'Universita' di Firenze e nel Corso di Laurea in Matematica dell'Universita' di Siena.

Nell'a.a. 2023/24 tengo i corsi di Analisi Matematica nel corso di Laurea in Ingegneria Meccanica (lettere E-N) e in quello di Ingegneria Gestionale (lettere E-N) e il corso di Equazioni Differenziali nel corso di Laurea in Ingegneria Meccanica della Scuola di Ingegneria dell'Universita' di Firenze.

Maria Patrizia PERA

Pubblicazioni

Legenda

Contributo su rivista |

Articolo su libro |

Libro |

Contributo in atti di convegno (proceeding) |

Brevetto |

Curatela | Altro

Altro |

Tesi di Dottorato

ALESSANDRO CALAMAI, MARIA PATRIZIA PERA, MARCO SPADINI (2024). Branches of forced oscillations for a class of implicit equations Involving the \Phi-Laplacian. In: Alessandro Calamai, Maria Patrizia Pera, Marco Spadini. Topological methods for delay and ordinary differential equations, pp. 151-166, New York: Springer Nature, ISBN:978-3-031-61336-4., vol. 51: DOI

PIERLUIGI BENEVIERI, ALESSANDRO CALAMAI, MARIA PATRIZIA PERA (2024). An infinite dimensional version of the Kronecker index and its relation with the Leray--Schauder degree. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, vol. 43, pp. 169-197, ISSN:0232-2064 DOI Accesso ONLINE all'editore

ALESSANDRO CALAMAI, MARIA PATRIZIA PERA, MARCO SPADINI (2023). Periodic perturbations of reducible scalar second order functional differential equations. ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, vol. 2023, pp. 1-23, ISSN:1417-3875 DOI Accesso ONLINE all'editore

PIERLUIGI BENEVIERI, ALESSANDRO CALAMAI, MASSIMO FURI, MARIA PATRIZIA PERA (2023). An infinite dimensional version of the intermediate value theorem. JP JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, vol. 25, pp. 0-0, ISSN:0973-4228 DOI Accesso ONLINE all'editore

PIERLUIGI BENEVIERI, ALESSANDRO CALAMAI, MASSIMO FURI, MARIA PATRIZIA PERA (2022). A degree associated to linear eigenvalue problems in Hilbert spaces and applications to nonlinear spectral theory. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, vol. 34, pp. 555-581, ISSN:1040-7294 DOI Accesso ONLINE all'editore

PIERLUIGI BENEVIERI, ALESSANDRO CALAMAI, MASSIMO FURI, MARIA PATRIZIA PERA (2022). The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory.. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, vol. 59, pp. 499-523, ISSN:1230-3429 DOI Accesso ONLINE all'editore

Maria Patrizia Pera; Marco Spadini (2021). Introduction to: Topological degree and fixed point theories in differential and difference equations. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A: MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 379, pp. 1-7, ISSN:1364-503X DOI

PIERLUIGI BENEVIERI, ALESSANDRO CALAMAI, MASSIMO FURI, MARIA PATRIZIA PERA (2021). Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces: the odd multiplicity case. MATHEMATICS, vol. 9, pp. 0-0, ISSN:2227-7390 DOI Accesso ONLINE all'editore

Pierluigi Benevieri, Alessandro Calamai, Massimo Furi, Maria Patrizia Pera (2020). Global continuation in Euclidean spaces of the perturbed unit eigenvectors corresponding to a simple eigenvalue. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, vol. 55, pp. 169-184, ISSN:1230-3429 DOI

PIERLUIGI BENEVIERI, ALESSANDRO CALAMAI, MASSIMO FURI, MARIA PATRIZIA PERA (2020). Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, vol. 39, pp. 475-497, ISSN:0232-2064 DOI Accesso ONLINE all'editore

Calamai, Alessandro; Pera, Maria Patrizia; Spadini, Marco (2019). Branches of Forced Oscillations Induced by a Delayed Periodic Force. ADVANCED NONLINEAR STUDIES, vol. 19, pp. 149-163, ISSN:1536-1365 DOI Accesso ONLINE all'editore

Alessandro, Calamai; Pera, MARIA PATRIZIA; Spadini, Marco (2018). Multiplicity of forced oscillations for scalar retarded functional differential equations. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 41, pp. 1944-1953, ISSN:0170-4214 DOI Accesso ONLINE all'editore

Pierluigi, Benevieri; Alessandro, Calamai; Massimo, Furi; Maria Patrizia Pera, (2018). Global continuation of the eigenvalues of a perturbed linear operator. ANNALI DI MATEMATICA PURA ED APPLICATA, vol. 197, pp. 1131-1149, ISSN:0373-3114 DOI Accesso ONLINE all'editore

Calamai, Alessandro; Pera, Maria Patrizia; Spadini, Marco (2017). Multiplicity of forced oscillations for the spherical pendulum acted on by a retarded periodic force. NONLINEAR ANALYSIS, vol. 151, pp. 252-264, ISSN:0362-546X DOI Accesso ONLINE all'editore

Benevieri,Pierluigi; Calamai, Alessandro; Furi, Massimo; Pera,Maria Patrizia (2017). On the persistence of the eigenvalues of a perturbed Fredholm operator of index zero under nonsmooth perturbations. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, vol. 36, pp. 99-128, ISSN:0232-2064 DOI Accesso ONLINE all'editore

Benevieri, Pierluigi; Calamai, Alessandro; Furi, Massimo; Pera, Maria Patrizia (2017). On general properties of $n$-th order retarded functional differential equations. RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE, vol. 49, pp. 73-93, ISSN:0049-4704 DOI

Benevieri, Pierluigi; Calamai, Alessandro; Furi, Massimo; Pera, Maria Patrizia (2015). Global continuation of forced oscillations of retarded motion equations on manifolds. JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS, vol. 16, pp. 273-300, ISSN:1661-7738 DOI Accesso ONLINE all'editore

Raffaele Chiappinelli; Massimo Furi; Maria Patrizia Pera (2014). Topological persistence of the unit eigenvectors of a perturbed Fredholm operator of index zero. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, vol. 33, pp. 347-367, ISSN:0232-2064 DOI Accesso ONLINE all'editore

P. Benevieri; A. Calamai; M. Furi; M.P. Pera (2013). A continuation result for forced oscillations of constrained motion problems with infinite delay. ADVANCED NONLINEAR STUDIES, vol. 13, pp. 263-278, ISSN:1536-1365 DOI Accesso ONLINE all'editore

P. Benevieri; A. Calamai; M. Furi; M.P. Pera (2013). Global continuation of periodic solutions for retarded functional differential equations on manifolds. BOUNDARY VALUE PROBLEMS, vol. 2013:21, pp. 1-19, ISSN:1687-2770 DOI Accesso ONLINE all'editore

P. Benevieri; A. Calamai; M. Furi; M.P. Pera (2013). On general properties of retarded functional differential equations on manifolds. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, vol. 33, pp. 27-46, ISSN:1078-0947 DOI Accesso ONLINE all'editore

R. Chiappinelli; M.Furi; M.P.Pera (2013). Persistence of the normalized eigenvectors of a perturbed operator in the variational case. GLASGOW MATHEMATICAL JOURNAL, vol. 55, pp. 629-638, ISSN:0017-0895 DOI Accesso ONLINE all'editore

R.Johnson; M.P.Pera (2013). Stability and bifurcation theory for non-autonomous differential equations. di A.Capietto, P.Kloeden, J.Mawhin, S.Novo, R.Ortega, Heidelberg, Germany: Springer Heidelberg New York Dordrecht London, pp. 1-303, 9783642329050.

P. Benevieri; A. Calamai; M. Furi; M.P. Pera (2012). On the existence of forced oscillations of retarded functional motion equations on a class of topologically nontrivial manifolds. RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE, vol. 44, pp. 5-17, ISSN:0049-4704

R. Chiappinelli; M. Furi; M.P. Pera (2011). A new theme in nonlinear analysis: continuation and bifurcation of the unit eigenvectors of a perturbed linear operator. COMMUNICATIONS IN APPLIED ANALYSIS, vol. 15, pp. 299-312, ISSN:1083-2564

P. Benevieri; A. Calamai; M. Furi; M.P. Pera (2011). On the existence of forced oscillations for the spherical pendulum acted on by a retarded periodic force. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, vol. 23, pp. 341-349, ISSN:1040-7294 DOI

M. Furi; M.P. Pera; M. Spadini (2011). Periodic solutions of retarded functional perturbations of autonomous differential equations on manifolds. COMMUNICATIONS IN APPLIED ANALYSIS, vol. 15, pp. 381-394, ISSN:1083-2564

R. Chiappinelli; M. Furi; M.P. Pera (2010). Topological Persistence of the Normalized Eigenvectors of a Perturbed Selfadjoint Operator. APPLIED MATHEMATICS LETTERS, vol. 2010, pp. 193-197, ISSN:0893-9659 DOI

M. Furi; M.P. Pera; M. Spadini (2010). A set of axioms for the degree of tangent vector fields on differentiable manifolds. FIXED POINT THEORY AND APPLICATIONS, vol. 2010, pp. 1-11, ISSN:1687-1820 DOI

P. Benevieri ; A. Calamai ; M. Furi ; M.P. Pera (2009). Retarded functional differential equations on manifolds and applications to motion problems for forced constrained systems. ADVANCED NONLINEAR STUDIES, vol. 9, pp. 199-214, ISSN:1536-1365

P. Benevieri; A. Calamai; M. Furi; M.P. Pera (2009). Fast Forced Oscillations for Constrained Motion Problems with Delay. COMMUNICATIONS IN APPLIED ANALYSIS, vol. 13, pp. 497-508, ISSN:1083-2564

P. Benevieri; A. Calamai; M. Furi; M.P. Pera (2009). On Forced Fast Oscillations for Delay Differential Equations on Compact Manifolds. JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 246, pp. 1354-1362, ISSN:0022-0396 DOI

P. Benevieri ; A. Calamai ; M. Furi ; M.P. Pera (2009). Delay differential equations on manifolds and applications to motion problems for forced constrained systems. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, vol. 28, pp. 451-474, ISSN:0232-2064 DOI

R. Chiappinelli; M. Furi; M. Pera (2008). Normalized Eigenvectors of a Perturbed Linear Operator via General Bifurcation. GLASGOW MATHEMATICAL JOURNAL, vol. 50, pp. 303-318, ISSN:0017-0895 DOI

P. Benevieri; A. Calamai; M. Furi; M.P. Pera (2007). Forced oscillations for delay motion equations on manifolds. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 2007 (n. 62), pp. 0-0, ISSN:1072-6691

M. Furi; M. Martelli; M.P. Pera (2007). Bifurcation of fixed points from a manifold of trivial fixed points in the infinite dimensional case. JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS, vol. 2, pp. 293-312, ISSN:1661-7738 DOI

P. Benevieri; A. Calamai; M. Furi; M.P. Pera (2007). Global Branches of Periodic Solutions for Forced Delay Differential Equations on Compact Manifolds. JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 233, pp. 404-416, ISSN:0022-0396 DOI

M. Furi; M.P. Pera (2006). Bifurcation of fixed points from a manifold of trivial fixed points. NONLINEAR FUNCTIONAL ANALYSIS AND APPLICATIONS, vol. 11, pp. 265-292, ISSN:1229-1595

P. Benevieri; M. Furi; M. Martelli; M. Pera (2005). Atypical bifurcation without compactness. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, vol. 24, pp. 137-147, ISSN:0232-2064 DOI

M. FURI; M. PERA; M. SPADINI (2005). The fixed point index of the Poincaré translation operator on differentiable manifolds. In: BROWN R.F; FURI M.; GORNIEWICZ L.; JIANG B.. Handbook of topological fixed point theory, pp. 741-782, DORDRECHT: R.F. BROWN, M. FURI, L. GORNIEWICZ, B. JIANG, ISBN:9781402032219.

M. FURI; M.P. PERA; M. SPADINI (2004). On the uniqueness of the fixed point index on differentiable manifolds. FIXED POINT THEORY AND APPLICATIONS, vol. 2004, pp. 251-259, ISSN:1687-1820 DOI Accesso ONLINE all'editore

P. Benevieri; M. Furi; M.P. Pera; M. Spadini (2003). About the sign of oriented Fredholm operators between Banach spaces. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, vol. 22, pp. 619-645, ISSN:0232-2064 DOI

P. Benevieri; M. Furi; M.P. Pera (2002). On the Product Formula for the Oriented Degree for Fredholm Maps of Index Zero between Banach Manifolds. NONLINEAR ANALYSIS, vol. 48, pp. 853-867, ISSN:0362-546X DOI

M. Furi; M.P. Pera; M. Spadini (2001). Multiplicity of forced oscillations on manifolds and applications to motion problems with one-dimensional constraints. SET-VALUED ANALYSIS, vol. 9, pp. 67-73, ISSN:0927-6947 DOI

M. Furi; M.P. Pera; M. Spadini (2001). Multiplicity of forced oscillations for scalar differential equations. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 2001, pp. 1-9, ISSN:1072-6691 Accesso ONLINE all'editore

P. Benevieri; M. Furi; M.P. Pera (2000). The Invariance of Domain for C^1 Fredholm Maps of index zero. In: JUERGEN APPELL EDITOR. Progress in Nonlinear Differential Equations and Their Applications, pp. 35-39, BASEL: BIRKHAUSER VERLAG.

M. Furi; M.P. Pera; M. Spadini (2000). Forced oscillations on manifolds and multiplicity results for periodically perturbed autonomous systems. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol. 113, pp. 241-254, ISSN:0377-0427 DOI

M. Cecchi; M. Furi; M. Marini; M. Pera (1999). Fredholm Linear Operators Associated with Ordinary Differential Equations on Noncompact Intervals. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 1999 (n. 44), pp. 1-16, ISSN:1072-6691

M. Furi; M.P. Pera (1997). Remarks on global branches of harmonic solutions to periodic ODE's on manifolds. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. A, vol. 11-A, pp. 709-722, ISSN:0392-4033

M. Furi; M. Pera (1997). Carathéodory Periodic Perturbations of the Zero Vector Field on Manifolds. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, vol. 10, pp. 79-92, ISSN:1230-3429

M. Furi; M. Pera (1997). Global Bifurcation of Fixed Points and the Poincaré Translation Operator on Manifolds. ANNALI DI MATEMATICA PURA ED APPLICATA, vol. 173, pp. 313-331, ISSN:0373-3114

M. Furi; M. Martelli; M.P. Pera (1996). General Bifurcation Theory: Local Results and Applications. In: Differential Equations and Applications to Biology and to Industry, Claremont, CA - USA, June 1-4, 1994, World Scientific, pp. 101-115.

M. Furi; M.P. Pera (1993). On the notion of winding number for closed curves and applications to forced oscillations on even dimensional spheres. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. A, vol. 7-A, pp. 397-407, ISSN:0392-4033

M. Furi; M.P. Pera (1993). A continuation principle for periodic solutions of forced motion equations on manifolds and applications to bifurcation theory. PACIFIC JOURNAL OF MATHEMATICS, vol. 160, n. 2, pp. 219-244, ISSN:0030-8730

M. Furi; M.P. Pera (1991). A continuation principle for the forced spherical pendulum. In: Fixed Point Theory and Applications, Marseille - France, Giugno 1989, Longman Scientific and Technical, vol. 252, pp. 141-154.

M. Furi; M.P. Pera (1991). The forced spherical pendulum does have forced oscillations. In: Proceedings of the Conference on Fixed-Point Theory and Applications, Claremont, CA - USA, 10-13 gennaio, 1990, Springer Berlin / Heidelberg, vol. 1475, pp. 176-183.

M. Furi; M.P. Pera (1990). On the existence of forced oscillations for the spherical pendulum. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B, vol. 4-B, pp. 381-390, ISSN:0392-4041

A.L. Edelson; M.P. Pera (1987). Connected branches of asymptotically equivalent solutions to nonlinear eigenvalue problems. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI DELLA CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI, vol. 81, pp. 337-346, ISSN:0392-7881

M. Furi; M.P. Pera (1987). A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals. ANNALES POLONICI MATHEMATICI, vol. 47, pp. 331-346, ISSN:0066-2216

M. Furi; M.P. Pera (1987). On the fixed point index in locally convex spaces. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS, vol. 106-A, pp. 161-168, ISSN:0308-2105

M. Furi; M.P. Pera (1986). A continuation principle for forced oscillations on differential manifolds. PACIFIC JOURNAL OF MATHEMATICS, vol. 121, pp. 321-338, ISSN:0030-8730

M. Furi; P. Nistri; M. P. Pera; P. Zezza (1985). Topological methods for the global controllability of nonlinear systems. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, vol. 45, pp. 231-256, ISSN:0022-3239 DOI

M. Furi; P. Nistri; M. P. Pera; P. Zezza (1985). Linear controllability by piecewise constant controls with assigned switching times. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, vol. 45, pp. 219-229, ISSN:0022-3239 DOI

M. Furi; M.P. Pera (1984). Global branches of periodic solutions for forced differential equations on nonzero Euler characteristic manifolds. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. C, ANALISI FUNZIONALE E APPLICAZIONI, vol. 3, pp. 157-170, ISSN:1120-8309

J. Appell; M.P. Pera (1984). Non-compactness principles in nonlinear operator approximation theory. PACIFIC JOURNAL OF MATHEMATICS, vol. 115, pp. 13-31, ISSN:0030-8730

M. Furi; M.P. Pera (1983). Co-bifurcating branches of solutions for nonlinear eigenvalue problems in Banach spaces. ANNALI DI MATEMATICA PURA ED APPLICATA, vol. 135, pp. 119-132, ISSN:0373-3114

M. Furi; M.P. Pera (1983). Nonbifurcating branches of forced oscillations for the differential system x'(t)=$\lambda f(t,x(t)), \lambda \ge 0$. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. C, ANALISI FUNZIONALE E APPLICAZIONI, vol. 2-C, pp. 187-194, ISSN:1120-8309

M.P. Pera (1983). Unbounded components of solutions of nonlinear equations at resonance, with applications to elliptic boundary value problems. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B, vol. 2-B, pp. 469-481, ISSN:0392-4041

A.L. Edelson; M.P. Pera (1982). A note on nonlinear problems depending on infinite dimensional parameters. NONLINEAR ANALYSIS, vol. 6, pp. 1185-1191, ISSN:0362-546X

M. Furi; M.P. Pera (1982). On unbounded branches of solutions for nonlinear operator equations in the nonbifurcating case. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B, vol. 1-B, pp. 919-930, ISSN:0392-4041

M.Furi; M.P. Pera; A. Vignoli (1982). Components of positive solutions for nonlinear equations with several parameters. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. C, ANALISI FUNZIONALE E APPLICAZIONI, vol. 1-C, pp. 285-302, ISSN:1120-8309

L. Amaral; M.P. Pera (1982). On periodic solutions of non-conservative systems. NONLINEAR ANALYSIS, vol. 6, pp. 733-743, ISSN:0362-546X

P. Pera; G. Stefani; P. Zecca (1981). On time dependent vector ffields with a set of initial controls. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. C, ANALISI FUNZIONALE E APPLICAZIONI, vol. Ser. 5, Vol. 18 - C, n. 1, pp. 161-173, ISSN:1120-8309

L. Amaral; M.P. Pera (1981). A note on periodic solutions at resonance. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. C, ANALISI FUNZIONALE E APPLICAZIONI, vol. 18-C, pp. 107-117, ISSN:1120-8309

M. Furi; M.P. Pera (1980). An elementary approach to boundary value problems at resonance. NONLINEAR ANALYSIS, vol. 4, pp. 1081-1089, ISSN:0362-546X

I. Massabo'; P. Nistri; M.P. Pera (1980). A result on the existence of infinitely many solutions of a nonlinear elliptic boundary value problem at resonance. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. A, vol. 17-A, pp. 523-530, ISSN:0392-4033

M.P. Pera (1980). Sulla risolubilita' di equazioni non lineari in spazi di Banach ordinati. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B, vol. 17-B, pp. 1063-1074, ISSN:0392-4041

M. Furi; M.P. Pera (1979). On the existence of an unbounded connected set of solutions for nonlinear equations in Banach spaces. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI DELLA CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI, vol. 67, pp. 31-38, ISSN:0392-7881

Maria Patrizia PERA

Curriculum

Born in Genoa 6/23/1954

- degree in Mathematics at the University of Genoa 7/14/1977;
- CNR fellowship at the University of Florence 1/1/1978 - 10/26/1981 (chief of the research: M.Furi);
- Researcher at the University of Florence 10/27/1981 - 4/19/1988;
- Associate Professor of Analisi Matematica 4/20/1988 - 10/31/2005;
- Full Professor of Analisi Matematica 11/1/2005 - present

MAIN FIELDS OF INTEREST

- Nonlinear Functional Analysis
- Ordinary Differential Equations

MAIN RESEARCH TOPICS

- Existence, multiplicity and global bifurcation of periodic solutions to ODEs and to retarded functional differential equations (RFDEs) on differentiable manifolds, by means of topological methods as the Leray fixed point index and the degree of a tangent vector field.
- Nonlinear spectral theory: continuation of the eigenvalues of nonlinear perturbations of Fredholm maps of index zero.
- Applications of topological methods in control theory.

ORGANIZATION OF CONFERENCES AND WORKSHOPS (more recent years)

- International conference on Topological Methods, Differential Equations and Dynamical Systems, Firenze, 13-16 June 2007.
- CIME course "Stability and Bifurcation for Non-Autonomous Differential Equations", Cetraro (CS), 20-25 June 2011.
- International Workshop on Topological and Variational Methods for ODEs, Firenze 3-4 June 2014.
- International Conference on Differential Inclusions and Set Valued Maps, Firenze, 26-27 November 2015.
- International Conference on New Directions in Nonautonomous Dynamical Systems, Firenze 31 Jan. - 3 Febr. 2017.

EDITORIAL ACTIVITITY

- Editor of Mathematical Problems in Engeneering
- Referee for international reviews (e.g. Annali di Matematica Pura e Applicata, Boundary Value Problems, Differential Equations and Dynamical Systems, Fixed Point Theory, Journal of Mathematical Analysis and Applications, Mathematical Methods in Applied Sciences, etc.)
- Referee for Mathematical Reviews

RESEARCH PROJECTS

- PRIN 2009, "Ordinary Differential Equations and Applications”, local coordinator, PI Fabio Zanolin;
- GNAMPA project 2018-2019-2020 (coordinators T.Cardinali, G.Infante, S.Biagi respectively);

- PRIN 2022, "Nonlinear Differential Problems with Applications to Real Phenomena"local cordinator; PI Gabriele Bonanno

OTHER ACTIVITIES

- Member of the board of PhD in Mathematics, Computer Sciences and Statistic (University of Firenze, University of Perugia and INDAM).
- Evaluator SIR Projects of MIUR.
- Member of competition commissions for Research Fellowships, Researcher, and Associate Professor.

- Member of the group GNAMPA of INDAM in the section Differential Equations and Dynamical Systems.

- Member of Unione Matematica Italiana (UMI).