Alessandro Calamai  Publications

(with G. Infante)
On fourth order retarded equations with functional boundary condition: a unified approach.
Discrete and Continuous Dynamical Systems  Series S, to appear.
DOI:10.3934/dcdss.2023006
arXiv

(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/s11784023010739

(with G. Infante)
An affine BirkhoffKellogg type result in cones with applications to functional differential equations.
Math. Meth. Appl. Sci. 2023 , no. 46, 1189711905.
DOI: 10.1002/mma.8665
arXiv

(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, 123.
DOI: 10.14232/ejqtde.2023.1.18
arXiv

(with S. Biagi and G. Infante)
Nonzero positive solutions of fractional Laplacian systems with functional terms.
Math. Nachr. 296 (2023), 102121.
DOI: 10.1002/mana.202100074
arXiv

(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, 499523.
DOI: 10.12775/TMNA.2021.006
arXiv

(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, 555581.
DOI: 10.1007/s10884020099219
arXiv

(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

(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, 684706.
DOI: 10.1515/anona20200131
arXiv

(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, 911931.
DOI: 10.1515/ans20202101
arXiv

(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, 395419.
DOI: 10.4171/ZAA/1669
arXiv

(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/s11784020007847
arXiv

(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, 169184.
DOI: 10.12775/TMNA.2019.093

(with S. Biagi and F. Papalini)
Heteroclinic solutions for a class of boundary value problems associated with singular equations.
Nonlinear Anal. 184 (2019), 4468.
DOI: 10.1016/j.na.2019.01.030

(with M.P. Pera and M. Spadini)
Branches of forced oscillations induced by a delayed periodic force.
Adv. Nonlinear Stud. 19 (2019), no. 1, 149163.
DOI: 10.1515/ans20182028

(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/s1366301806450

(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, 11311149.
DOI: 10.1007/s1023101707175

(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, 19441953.
DOI: 10.1002/mma.4720

(with P. Benevieri, M. Furi and M.P. Pera)
On general properties of nth order retarded functional differential equations.
Rend. Ist. Mat. Univ. Trieste 49 (2017), 7393.
DOI: 10.13137/24648728/16206

(with J. Diblík, M. Franca and M. Pospíšil)
On the position of chaotic trajectories.
J. Dynam. Differential Equations 29 (2017), no. 4, 14231458.
DOI: 10.1007/s108840169520z

(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/s0003001604275

(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, 99128.
DOI: 10.4171/ZAA/1581

(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), 252264.
DOI: 10.1016/j.na.2016.12.006

(with G. Infante)
Nontrivial solutions of boundary value problems for second order functional differential equations.
Ann. Mat. Pura Appl. 195 (2016), no. 3, 741756.
DOI: 10.1007/s102310150487x
arXiv

(with P. Benevieri and M. Furi)
On the degree for oriented quasiFredholm maps: its uniqueness and its
effective extension of the LeraySchauder degree.
Topol. Methods Nonlinear Anal. 46 (2015), no. 1, 401430.
DOI: 10.12775/TMNA.2015.052

(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

(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. 12, 273300.
DOI: 10.1007/s1178401502156

(with L. Bisconti and M. Spadini)
Periodic solutions of semiexplicit differentialalgebraic equations with timedependent constraints.
Bound. Value Probl. 2014 2014:179, 19 pp.
DOI: 10.1186/s1366101401792
arXiv

(with M. Franca)
Mel'nikov methods and homoclinic orbits in discontinuous systems.
J. Dynam. Differential Equations 25 (2013), no. 3, 733764.
PDF file

(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

(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, 263278.
PDF file
arXiv

(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, 2746.
PDF file

(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), 517.
PDF file

(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, 383399.
PDF file
arXiv

Branches of harmonic solutions for a class of periodic
differentialalgebraic equations.
Commun. Appl. Anal. 15 (2011), no.2,3 and 4, 273282.
PDF file

(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, 541549.
PDF file

Heteroclinic solutions of boundary value problems on the real line involving
singular ΦLaplacian operators.
J. Math. Anal. Appl. 378 (2011), no. 2, 667679.
PDF file

(with J. Appell and A. Schmied)
Yet another spectrum for nonlinear operators in Banach
spaces.
Nonlinear Funct. Anal. Appl.
15 (2010), no. 4, 513532.
PDF file

(with P. Benevieri)
A Borsuktype theorem for some classes of perturbed Fredholm maps.
Topol. Methods Nonlinear Anal. 35 (2010), no. 2, 379394.
PDF file

(with C. Marcelli and F. Papalini)
A general approach for frontpropagation in functional
reactiondiffusion equations.
J. Dyn. Differential Equations 21 (2009), no. 4, 567593.
PDF file

(with M. Furi and A. Vignoli)
An overview on spectral theory for nonlinear operators.
Commun. Appl. Anal. 13 (2009), no. 4, 509534.
PDF file

(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, 497508.
PDF file

(with M. Furi and A. Vignoli)
A new spectrum for continuous nonlinear operators in Banach
spaces.
Nonlinear Funct. Anal. Appl.
14 (2009), no. 2, 317347.
PDF file
arXiv

(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, 199214.
PDF file

(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, 451474.
PDF file

(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, 13541362.
PDF file

(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

(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

(with F. Alessio and P. Montecchiari)
Saddle type solutions for a class of semilinear elliptic equations.
Adv. Differential Equations 12 (2007), no. 4, 361380.
PDF file

(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, 404416.
PDF file

(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

(with P. Benevieri and M. Furi)
A degree theory for a class of perturbed Fredholm maps.
Fixed Point Theory Appl. 2005 (2005), no. 2, 185206.
PDF file

The invariance of domain theorem for compact perturbations
of nonlinear Fredholm maps of index zero.
Nonlinear Funct. Anal. Appl.
9 (2004), no. 2, 185194.
PDF file

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, 469481.
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), 223226.