Pierluigi Benevieri - list of publications
Papers
P. Benevieri, A. Calamai, M. Furi, M.P. Pera, A degree associated to linear eigenvalue problems in Hilbert spaces and applications to nonlinear spectral theory,, J. Dynam. Differential Equations, 34 (2022), no. 1, 555–581. pdf | |
P. Amster, P. Benevieri, J. Haddad, Periodic positive solutions of superlinear delay equations via topological degree, Philos. Trans. Roy. Soc. A, 379 (2021), no. 2191, Paper No. 20190373, 18 pp. pdf | |
P. Benevieri, A. Calamai, M. Furi, M.P. Pera, Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces, Z. Anal. Anwend. 39, (2020), no. 4, 475-497. pdf | |
P. Benevieri, J.G. Mesquita, A. Pereira, Global bifurcation results for nonlinear dynamic equations on time scales, J. Differential Equations, 269 (2020), no. 12, 11252-11278. | |
P. Benevieri, A. Iannizzotto, Eigenvalue problems for Fredholm operators with set-valued perturbations, Adv. Nonlinear Stud., 20 (2020), no. 3, 701-723. | |
P. Benevieri, A. Calamai, M. Furi, M.P. Pera, Global continuation in Euclidean spaces of the perturbed unit eigenvectors corresponding to a simple eigenvalue, Topol. Methods Nonlinear Anal., 55 (2020), no. 1, 169-184. | |
P. Amster, P. Benevieri, J. Haddad, A Global Bifurcation Theorem for Critical Values in Banach Spaces, Annali di Matematica Pura e Applicata, (4) 198 (2019), no. 3, 773-794. | |
P. Benevieri, A. Calamai, M. Furi, M.P. Pera, Global continuation of the eigenvalues of a perturbed linear operator, Annali di Matematica Pura e Applicata, (4) 197 (2018), no. 4, 1131-1149. | |
P. Benevieri, A. Calamai, M. Furi, M.P. Pera, On General Properties of N-th order Retarded Functional Differential Equations, Rendiconti dell'Istituto di Matematica dell'Università di Trieste, 49, (2017), 73-93. | |
P. Benevieri, P. Zecca, Topological degree and atypical bifurcation results for a class of multivalued perturbations of Fredholm maps in Banach spaces, Fixed Point Theory, 18, 1 (2017), 85-106. pdf |
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P. Benevieri, A. Calamai, M. Furi, M.P. Pera, On the persistence of the eigenvalues of a perturbed Fredholm operator of index zero under nonsmooth perturbations, Zeitschrift für Analysis und ihre Anwendungen (Journal for Analysis and applications), 36, 1 (2017), 99-128. pdf |
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| P. Benevieri, A. Calamai, M. Furi, On the degree for quasi-Fredholm maps: its uniqueness and its effective extension of the Leray--Schauder degree, Topol. Methods in Nonlinear Analysis, 46, 1 (2015), 401-430. pdf | |
| P. Benevieri, A. Calamai, M. Furi, M.P. Pera, Global Continuation of Forced Oscillations of Retarded Motion Equations on Manifolds, J. Fixed Point Theory Appl., 16 (2014), 273-300. pdf | |
| P. Benevieri, A. Calamai, M. Furi, M.P. Pera, Global Continuation of Periodic Solutions for Retarded Functional Differential Equations on Manifolds, Bound. Value Probl., 2013, 2013:21. pdf | |
| P. Benevieri, A. Calamai, M. Furi, M.P. Pera, On General Properties of Retarded Functional Differential Equations on Manifolds, Discrete Contin. Dynam. Syst., 33, 1 (2013), 27-46. pdf | |
| P. Benevieri, A. Calamai, M. Furi, M.P. Pera, A continuation result for forced oscillations of constrained motion problems with infinite delay, Adv. Nonlinear Stud. 13, 2 (2013), 263-278. pdf | |
| P. Benevieri, A. Calamai, M. Furi, M.P. Pera, On the existence of forced oscillations of retarded functional motion equations on a class of topologically nontrivial manifolds, Rend. Istit. Mat. Univ. Trieste, 44 (2012), 1-13. pdf | |
| P. Benevieri, M. Furi, On the uniqueness of the degree for nonlinear Fredholm maps of index zero between Banach manifolds, Communications in Applied Analysis, 15, n. 2,3 and 4 (2011), 203-216. pdf | |
| P. Benevieri, A. Calamai, M. Furi, M.P. Pera, On the existence of forced oscillations for the spherical pendulum acted on by a retarded periodic force, Journal of Dynamics and Differential Equations, 23, n. 3 (2011), 541-549. pdf | |
| P. Benevieri, A. Calamai, A Borsuk-type theorem for some classes of perturbed Fredholm maps, Topol. Methods Nonlinear Anal., 35, n. 2 (2010), 379-394. pdf | |
| P. Benevieri, P. Piccione, On a formula for the spectral flow and its applications, Mathematische Nachrichten, 283, n. 5 (2010), 659-685. pdf | |
| P. Benevieri, A. Calamai, M. Furi, M.P. Pera, Fast Forced Oscillations for Constrained Motion Problems with Delay, Commun. Appl. Anal. 13, n. 4 (2009), 497-508. pdf | |
| P. Benevieri, A. Calamai, M. Furi, M.P. Pera, Retarded functional differential equations on manifolds and applications to motion problems for forced constrained systems, Adv. Nonlinear Stud. 9 (2009), 199-214. pdf | |
| P. Benevieri, A. Calamai, M. Furi, M.P. Pera, Delay differential equations on manifolds and applications to motion problems for forced constrained systems, Zeitschrift fur Analysis und ihre Anwendungen, 28 (2009), 451-474. pdf | |
| P. Benevieri, A. Calamai, M. Furi, M.P. Pera, On Forced Fast Oscillations for Delay Differential Equations on Compact Manifolds, J. Differential Equations, 246 (2009), 1354-1362. pdf | |
| P. Benevieri, A. Calamai Bifurcation results for a class of perturbed Fredholm maps, Fixed Point Theory Appl., 2008, Art. ID 752657, 19 pp. pdf | |
| P. Benevieri, A. Calamai, M. Furi, M.P. Pera, Forced oscillations for delay motion equations on manifolds, Electron. J. Diff. Eqns., vol. 2007 (2007), n. 62, 1-5. pdf | |
| P. Benevieri, A. Calamai, M. Furi, M.P. Pera, Global Branches of Periodic Solutions for Forced Delay Differential Equations on Compact Manifolds, J. Differential Equations, 233, (2007), 404-416. pdf | |
| P. Benevieri, J.M. do Ó, E.S. Medeiros, Nonlinear Systems with Mean Curvature-like Operators, Fixed point theory and its applications, Banach Center Publ., 77, Polish Acad. Sci., Warsaw, 2007, 35-48. pdf | |
| P. Benevieri, J.M. do Ó, E.S. Medeiros, Periodic Solutions for Nonlinear Systems with Mean Curvature-like Operators, Nonlinear Analysis: Theory Methods and Applications, 65, 7 (2006), 1462-1475. pdf | |
| P. Benevieri, J.M. do Ó, E.S. Medeiros, Periodic Solutions for Nonlinear Equations with Mean Curvature-like Operators, Applied Mathematics Letters, 2007; 20 (5), 484-492. pdf | |
| P. Benevieri, A. Calamai, M. Furi, A degree theory for a class of perturbed Fredholm maps, II, Fixed Point Theory Appl. 2006, Art. ID 27154, 20 pp. pdf | |
| P. Benevieri, A. Calamai, M. Furi, A degree theory for a class of perturbed Fredholm maps, Fixed Point Theory and Applications, 2 (2005), 185-206. pdf | |
| P. Benevieri, M. Furi, A degree theory for locally compact perturbations of Fredholm maps in Banach spaces, Abstr. Appl. Anal. 2006, Art. ID 64764, 20 pp. pdf | |
| P. Benevieri, M. Furi, M. Martelli, M.P. Pera, Atypical bifurcation without compactness, Z. Anal. Anwendungen 24 (2005), n. 1, 137-147. pdf | |
| P. Benevieri, A. Gavioli, M. Villarini, Existence of Periodic Orbits for Vector Fields via Fuller Index andthe Averaging Method, Electron. J. Diff. Eqns., Vol. 2004 (2004), n. 128, 1-14. pdf | |
| P. Benevieri, M. Furi, M.P. Pera, M. Spadini, About the sign of oriented Fredholm operators between Banach spaces, Z. Anal. Anwendungen 22 n. 3, (2003), 619-645. pdf | |
| P. Benevieri, M. Furi, M.P. Pera, On the Product formula for the oriented degree for Fredholm maps of index zero between Banach manifolds, Nonlinear Anal. 48 (2002), n. 6, Ser. A: Theory Methods and Appl., 853-867. pdf | |
| P. Benevieri, M, Furi, Bifurcation results for families of Fredholm maps of index zero between Banach spaces, Nonlinear analysis and its applications (St. John's, NF, 1999). Nonlinear Anal. Forum 6 (2001), n. 1, 35-47. pdf | |
| P. Benevieri, Orientation and degree for Fredholm maps of index zero between Banach spaces, Nonlinear analysis and its applications to differential equations (Lisbon, 1998), 201-213, Progr. Nonlinear Differential Equations Appl., 43, Birkhauser Boston, Boston, MA, 2001. pdf | |
| P. Benevieri, M. Furi, M.P. Pera, The Invariance of Domain for $C^1$ Fredholm maps of index zero, Recent trends in nonlinear analysis, 35-39, Progr. Nonlinear Differential Equations Appl., 40, Birkhauser, Basel, 2000. pdf | |
| P. Benevieri, M. Furi, On the concept of orientability for Fredholm maps between real Banach manifolds, Topol. Methods Nonlinear Anal., 16 (2000), n. 2, 279-306. pdf | |
| P. Benevieri, M. Furi, A simple notion of orientability for Fredholm maps between Banach manifolds and degree theory, Annales des sciences mathémathiques du Québec, 22, n. 2 (1998), 131-148. pdf | |
| P. Benevieri, Recent developments in topological degree theory (Italian), Boll. Unione Mat. Ital. Sez. A Mat. Soc. Cult. (8) 1 (1998), suppl., 81-84. | |
| P. Benevieri, it Una rilettura di alcuni risultati globali in teoria della biforcazione, Boll. Unione Mat. Ital. A (7) 9, n. 2 (1995), 287-297. |
Books
A. Villanacci, A. Battinelli, P. Benevieri, L. Carosi, Differential Topology and General Equilibrium with Complete and Incomplete Markets, Kluwer Academic Publishers, Dordrecht, 2002, xxxii+473 pp. |
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P. Benevieri, Esercizi di Analisi Matematica 1, De Agostini, Novara, Italia, 2007, vii+256 pp. |