Alessandro Calamai - Publications

62. (with M. Franca and M. Pospíšil)   On the dynamics of non-autonomous systems in a neighborhood of a homoclinic trajectory. Rendiconti dell'Istituto di Matematica dell'Università di Trieste, to appear.  


61. (with G. Infante)   On the solvability of parameter-dependent elliptic functional BVPs on annular-like domains. Discrete and Continuous Dynamical Systems - Series B, to appear.   DOI: 10.3934/dcdsb.2024193  


60. (with M.P. Pera and M. Spadini)   Branches of forced oscillations for a class of implicit equations involving the Φ-Laplacian, in: "Topological methods for delay and ordinary differential equations - with applications to continuum mechanics", P. Amster and P. Benevieri (Eds.), Advances in Mechanics and Mathematics, vol. 51, Birkhäuser/Springer, Cham, Germany (2024), 151-166.   DOI: 10.1007/978-3-031-61337-1_7  


59. (with G. Infante)   Nontrivial solutions of a parameter-dependent heat flow problem with deviated arguments, in: "Topological methods for delay and ordinary differential equations - with applications to continuum mechanics", P. Amster and P. Benevieri (Eds.), Advances in Mechanics and Mathematics, vol. 51, Birkhäuser/Springer, Cham, Germany (2024), 141-150.   DOI: 10.1007/978-3-031-61337-1_6  


58. (with G. Infante and J. Rodríguez-López)   A Birkhoff-Kellogg type theorem for discontinous operators with applications. Mediterr. J. Math. 21 (2024), no. 5, Paper No. 149, 19 pp.   DOI: 10.1007/s00009-024-02692-3  


57. (with F. Anceschi, C. Marcelli and F. Papalini)   Boundary value problems for integro-differential and singular higher order differential equations. Open Mathematics 22 (2024), no. 1, pp. 20240008.   DOI: 10.1515/math-2024-0008  


56. (with M. Spadini)   Carathéodory periodic perturbations of degenerate systems. Electron. J. Diff. Eqns. 2024 , no. 39, 1-13.   DOI: 10.58997/ejde.2024.39  


55. (with G. Infante)   On fourth order retarded equations with functional boundary condition: a unified approach. Discrete Contin. Dyn. Syst. Ser. S 17 (2024), no. 5-6, 2009-2020.   DOI:10.3934/dcdss.2023006   arXiv  


54. (with P. Benevieri and M.P. Pera)   An infinite dimensional version of the Kronecker index and its relation with the Leray-Schauder degree. Z. Anal. Anwend. 43 (2024), no. 1/2, 169-197.   DOI: 10.4171/ZAA/1750  


53. (with P. Benevieri, M. Furi and M.P. Pera)   An infinite dimensional version of the intermediate value theorem. J. Fixed Point Theory Appl. 25 (2023), Paper no. 70.   DOI: 10.1007/s11784-023-01073-9  


52. (with G. Infante)   An affine Birkhoff-Kellogg type result in cones with applications to functional differential equations. Math. Meth. Appl. Sci. 2023 , no. 46, 11897-11905.   DOI: 10.1002/mma.8665   arXiv  


51. (with M.P. Pera and M. Spadini)   Periodic perturbations of reducible scalar second order functional differential equations. Electron. J. Qual. Theory Differ. Equ. 2023 , no. 18, 1-23.   DOI: 10.14232/ejqtde.2023.1.18   arXiv  


50. (with S. Biagi and G. Infante)   Nonzero positive solutions of fractional Laplacian systems with functional terms. Math. Nachr. 296 (2023), 102-121.   DOI: 10.1002/mana.202100074   arXiv  


49. (with P. Benevieri, M. Furi and M.P. Pera)   The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory. Topol. Methods Nonlinear Anal. 59 (2022), no. 2A, 499-523.   DOI: 10.12775/TMNA.2021.006   arXiv  


48. (with P. Benevieri, M. Furi and 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.   DOI: 10.1007/s10884-020-09921-9   arXiv  


47. (with P. Benevieri, M. Furi and M.P. Pera)   Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces: the odd multiplicity case. Mathematics 2021 , 9(5), 561.   DOI: 10.3390/math9050561  


46. (with S. Biagi, C. Marcelli and F. Papalini)   Boundary value problems associated with singular strongly nonlinear equations with functional terms. Adv. Nonlinear Anal. 10 (2021), no. 1, 684-706.   DOI: 10.1515/anona-2020-0131   arXiv  


45. (with S. Biagi and G. Infante)   Nonzero positive solutions of elliptic systems with gradient dependence and functional BCs. Adv. Nonlinear Stud. 20 (2020), no. 4, 911-931.   DOI: 10.1515/ans-2020-2101   arXiv  


44. (with P. Benevieri, M. Furi and M.P. Pera)   Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces. Z. Anal. Anwend. 39 (2020), no. 4, 395-419.   DOI: 10.4171/ZAA/1669   arXiv  


43. (with S. Biagi and F. Papalini)   Existence results for boundary value problems associated with singular strongly nonlinear equations. J. Fixed Point Theory Appl. 22 (2020), no. 3, Paper No. 53, 34 pp.   DOI: 10.1007/s11784-020-00784-7   arXiv  


42. (with P. Benevieri, M. Furi and 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.   DOI: 10.12775/TMNA.2019.093  


41. (with S. Biagi and F. Papalini)   Heteroclinic solutions for a class of boundary value problems associated with singular equations. Nonlinear Anal. 184 (2019), 44-68.   DOI: 10.1016/j.na.2019.01.030  


40. (with M.P. Pera and M. Spadini)   Branches of forced oscillations induced by a delayed periodic force. Adv. Nonlinear Stud. 19 (2019), no. 1, 149-163.   DOI: 10.1515/ans-2018-2028  


39. (with C. Marcelli and F. Papalini)   Boundary value problems for singular second order equations. Fixed Point Theory Appl. 2018, 2018:20, 22 pp.   DOI: 10.1186/s13663-018-0645-0  


38. (with P. Benevieri, M. Furi and M.P. Pera)   Global continuation of the eigenvalues of a perturbed linear operator. Ann. Mat. Pura Appl. 197 (2018), no. 4, 1131-1149.   DOI: 10.1007/s10231-017-0717-5  


37. (with M.P. Pera and M. Spadini)   Multiplicity of forced oscillations for scalar retarded functional differential equations. Math. Methods Appl. Sci. 41 (2018), no. 5, 1944-1953.   DOI: 10.1002/mma.4720  


36. (with P. Benevieri, M. Furi and M.P. Pera)   On general properties of n-th order retarded functional differential equations. Rend. Ist. Mat. Univ. Trieste 49 (2017), 73-93.   DOI: 10.13137/2464-8728/16206  


35. (with J. Diblík, M. Franca and M. Pospíšil)   On the position of chaotic trajectories. J. Dynam. Differential Equations 29 (2017), no. 4, 1423-1458.   DOI: 10.1007/s10884-016-9520-z  


34. (with A. Sfecci)   Multiplicity of periodic solutions for systems of weakly coupled parametrized second order differential equations. NoDEA Nonlinear Differential Equations Appl. 24 (2017), no. 1, Art. 4, 17pp.   DOI: 10.1007/s00030-016-0427-5  


33. (with P. Benevieri, M. Furi and M.P. Pera)   On the persistence of the eigenvalues of a perturbed Fredholm operator of index zero under nonsmooth perturbations. Z. Anal. Anwendungen 36 (2017), no. 1, 99-128.   DOI: 10.4171/ZAA/1581  


32. (with M.P. Pera and M. Spadini)   Multiplicity of forced oscillations for the spherical pendulum acted on by a retarded periodic force. Nonlinear Anal. 151 (2017), 252-264.   DOI: 10.1016/j.na.2016.12.006  


31. (with G. Infante)   Nontrivial solutions of boundary value problems for second order functional differential equations. Ann. Mat. Pura Appl. 195 (2016), no. 3, 741-756.   DOI: 10.1007/s10231-015-0487-x   arXiv


30. (with P. Benevieri and M. Furi)   On the degree for oriented quasi-Fredholm maps: its uniqueness and its effective extension of the Leray-Schauder degree. Topol. Methods Nonlinear Anal. 46 (2015), no. 1, 401-430.   DOI: 10.12775/TMNA.2015.052  


29. (with M. Spadini)   Periodic perturbations of constrained motion problems on a class of implicitly defined manifolds. Commun. Contemp. Math. 17 (2015), no. 2, 1450027, 19 pp.   DOI: 10.1142/S0219199714500278   arXiv


28. (with P. Benevieri, M. Furi and M.P. Pera)   Global continuation of forced oscillations of retarded motion equations on manifolds. J. Fixed Point Theory Appl. 16 (2014), no. 1-2, 273-300.   DOI: 10.1007/s11784-015-0215-6  


27. (with L. Bisconti and M. Spadini)   Periodic solutions of semi-explicit differential-algebraic equations with time-dependent constraints. Bound. Value Probl. 2014 2014:179, 19 pp.   DOI: 10.1186/s13661-014-0179-2   arXiv


26. (with M. Franca)   Mel'nikov methods and homoclinic orbits in discontinuous systems. J. Dynam. Differential Equations 25 (2013), no. 3, 733-764.   PDF file


25. (with P. Benevieri, M. Furi and M.P. Pera)   Global continuation of periodic solutions for retarded functional differential equations on manifolds. Bound. Value Probl. 2013 2013:21, 19 pp.   PDF file


24. (with P. Benevieri, M. Furi and M.P. Pera)   A continuation result for forced oscillations of constrained motion problems with infinite delay. Adv. Nonlinear Stud. 13 (2013), no. 2, 263-278.   PDF file     arXiv


23. (with P. Benevieri, M. Furi and M.P. Pera)   On general properties of retarded functional differential equations on manifolds. Discrete Contin. Dyn. Syst. 33 (2013), no. 1, 27-46.   PDF file


22. (with P. Benevieri, M. Furi and M.P. Pera)   On the existence of forced oscillations of retarded functional motion equations on a class of topologically nontrivial manifolds. Rend. Ist. Mat. Univ. Trieste 44 (2012), 5-17.   PDF file


21. (with M. Spadini)   Branches of forced oscillations for a class of constrained ODEs: a topological approach. NoDEA Nonlinear Differential Equations Appl. 19 (2012), no. 4, 383-399.   PDF file     arXiv


20. Branches of harmonic solutions for a class of periodic differential-algebraic equations. Commun. Appl. Anal. 15 (2011), no.2,3 and 4, 273-282.   PDF file


19. (with P. Benevieri, M. Furi and M.P. Pera)   On the existence of forced oscillations for the spherical pendulum acted on by a retarded periodic force. J. Dynam. Differential Equations 23 (2011), no. 3, 541-549.   PDF file


18. Heteroclinic solutions of boundary value problems on the real line involving singular Φ-Laplacian operators. J. Math. Anal. Appl. 378 (2011), no. 2, 667-679.   PDF file


17. (with J. Appell and A. Schmied)   Yet another spectrum for nonlinear operators in Banach spaces. Nonlinear Funct. Anal. Appl. 15 (2010), no. 4, 513-532.   PDF file


16. (with P. Benevieri)   A Borsuk-type theorem for some classes of perturbed Fredholm maps. Topol. Methods Nonlinear Anal. 35 (2010), no. 2, 379-394.   PDF file


15. (with C. Marcelli and F. Papalini)   A general approach for front-propagation in functional reaction-diffusion equations. J. Dyn. Differential Equations 21 (2009), no. 4, 567-593.   PDF file


14. (with M. Furi and A. Vignoli)   An overview on spectral theory for nonlinear operators. Commun. Appl. Anal. 13 (2009), no. 4, 509-534.   PDF file


13. (with P. Benevieri, M. Furi and M.P. Pera)   Fast forced oscillations for constrained motion problems with delay. Commun. Appl. Anal. 13 (2009), no. 4, 497-508.   PDF file


12. (with M. Furi and A. Vignoli)   A new spectrum for continuous nonlinear operators in Banach spaces. Nonlinear Funct. Anal. Appl. 14 (2009), no. 2, 317-347.   PDF file     arXiv


11. (with P. Benevieri, M. Furi and M.P. Pera)   Retarded functional differential equations on manifolds and applications to motion problems for forced constrained systems. Adv. Nonlinear Stud. 9 (2009), no. 1, 199-214.   PDF file


10. (with P. Benevieri, M. Furi and M.P. Pera)   Delay differential equations on manifolds and applications to motion problems for forced constrained systems. Z. Anal. Anwendungen 28 (2009), no. 4, 451-474.   PDF file


9. (with P. Benevieri, M. Furi and M.P. Pera)   On forced fast oscillations for delay differential equations on compact manifolds. J. Differential Equations 246 (2009), no. 4, 1354-1362.   PDF file


8. (with P. Benevieri)   Bifurcation results for a class of perturbed Fredholm maps. Fixed Point Theory Appl. 2008 (2008), Art. ID 752657, 19 pp.   PDF file


7. (with P. Benevieri, M. Furi and M.P. Pera)   Forced oscillations for delay motion equations on manifolds. Electron. J. Differential Equations 2007 (2007), no. 62, 5 pp.   PDF file


6. (with F. Alessio and P. Montecchiari)   Saddle type solutions for a class of semilinear elliptic equations. Adv. Differential Equations 12 (2007), no. 4, 361-380. PDF file


5. (with P. Benevieri, M. Furi and M.P. Pera)   Global branches of periodic solutions for forced delay differential equations on compact manifolds. J. Differential Equations 233 (2007), no. 2, 404-416.   PDF file


4. (with P. Benevieri and M. Furi)   A degree theory for a class of perturbed Fredholm maps II. Fixed Point Theory Appl. 2006 (2006), Art. ID 27154, 20 pp.   PDF file


3. (with P. Benevieri and M. Furi)   A degree theory for a class of perturbed Fredholm maps. Fixed Point Theory Appl. 2005 (2005), no. 2, 185-206.   PDF file


2. The invariance of domain theorem for compact perturbations of nonlinear Fredholm maps of index zero. Nonlinear Funct. Anal. Appl. 9 (2004), no. 2, 185-194.   PDF file


1. On existence and uniqueness of solutions for ordinary differential equations with nonlinear boundary conditions. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 7 (2004), no. 2, 469-481.   PDF file

Dissertations

• Metodi topologici nei problemi ai limiti per equazioni differenziali ordinarie. Degree Thesis, Universita' di Firenze, 2001.  


• A degree theory for a class of noncompact perturbations of Fredholm maps. Phd Thesis, Universita' di Firenze, 2005.  


• Teoria del grado topologico per una classe di perturbazioni non compatte di applicazioni di Fredholm. Boll. Unione Mat. Ital. Sez. A Mat. Soc. Cult. (8) 9 (2006), 223-226.