Dr. Marco Spadini
Dipartimento di Matematica e
Informatica 'U.Dini'
University of Florence, Italy
Email:marco.spadini@unifi.it
Qualifications
1997 Ph.D., University of
Florence, Mathematics
1992 M.Sc., University of
Florence, Mathematics
Publications (Selected)
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L.Bisconti, M.Spadini, Periodic
perturbations with delay of separated variables differential equations,
Preprint;
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A.Calamai, M.Spadini, Periodic
perturbations of constrained motion problems on a class of implicitly defined
manifolds ., arXiv:1304.6114 (2013);
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F.Mugelli, M.Spadini, Metodi
Matematici, Progetto Leonardo, ed. Esculapio, Bologna (2013); ISBN:
9788874885794;
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L.Poggiolini, M.Spadini, Local
inversion of planar maps with nice nondifferentiability structure, Adv. Nonlin.
Studies, 13 n. 2 (2013), pp. 411-430;
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A.Calamai, M.Spadini, Branches of
forced oscillations for a class of constrained ODEs: a topological approach,
NoDEA, 19, No. 4, 383-399 (2012);
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L.Bisconti, M.Spadini, Corrigendum
to On a class of differential-algebraic equations with infinite delay., E. J.
Qualitative Theory of Diff. Equ., No. 97 (2012), pp. 1-5;
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L.Bisconti, M.Spadini, On a class
of differential-algebraic equations with infinite delay, E. J. Qualitative
Theory of Diff. Equ., No. 81 (2011), pp. 1-21;
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M.Furi, M.P.Pera, M.Spadini, Periodic
solutions of retarded functional perturbations of autonomous differential
equations on manifolds, Comm. Appl. Analysis 15, 381-394 (2011);
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L.Poggiolini, M.Spadini, Strong
local optimality for a bang--bang trajectory in a Mayer problem, SIAM J.
Control Optim., Vol. 49, No. 1, 140-161 (2011);
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L.Poggiolini, M.Spadini, Bang--bang
trajectories with a double switching time: sufficient strong local optimality
conditions, arXiv:1010.1149 [math.OC] (2010);
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M.Furi, M.P.Pera, M.Spadini, A
set of axioms for the degree of tangent vector fields on differentiable
manifolds, Fixed Point Theory Appl. 1-11 (2010);
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M.Spadini, A note on topological
methods for a class of Differential-Algebraic Equations, Nonlinear Anal.,
Theory Methods Appl., Ser. A, Theory Methods 73, No. 4, 1065-1076 (2010);
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M.Furi, M.Spadini, Periodic
perturbations with delay of autonomous differential equations on manifolds,
Advanced Nonlinear Studies, 9 (2009), no. 2, 263--276;
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L.Poggiolini, M.Spadini, Sufficient
optimality conditions for a bang-bang trajectory in a Bolza Problem,
Mathematical control theory and finance. A. Sarychev, A. Shiryaev, M. Guerra,
M. R. Grossinho Editors, Springer (2008);
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M.Lewicka, M.Spadini, Branches of
forced oscillations in degenerate systems of second order ODEs, Nonlinear Analysis
Theory Methods Appl., 68 (2008) 2623-2628;
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F.Colonius, R.Fabbri, R.Johnson,
M.Spadini, Bifurcation phenomena in control flows, Topol. Methods Nonlin.
Anal., 30, 2007, pp. 87-111;
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M.Spadini, Branches of harmonic
solutions to periodically perturbed coupled differential equations on
manifolds, Discrete and continuous Dyn. Syst., 15, (2006), no. 3, 951--964;
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F.Colonius, M.Spadini, Fundamental
semigroups for dynamical systems, Discrete and Continuous Dyn. Syst., 14,
(2006), 447-463;
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F.Colonius, L.San Martin, M.Spadini, Fundamental
semigroups for local control sets, Ann. Mat. Pura App., 185, (2006);
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M.Furi, M.P.Pera, M.Spadini, The
fixed point index of the Poincaré translation operator on differentiable
manifolds, Handbook of topological fixed point theory, Brown R.F., Furi M.,
Górniewicz L., Jiang B. (Eds.), Springer, 2005;
Profile Details
http//www.dma.unifi.it/~spadini