The papers that can be downloaded from this page are mere preprints somewhat different from their published versions. The final editions can be found on the respective journals or requested of the authors

Papers & Preprints

Years 2016 — 2018:
50 A.Calamai — M.P.Pera — M.Spadini, Multiplicity of forced oscillations for scalar retarded functional differential equations. Mathematical Methods In The Applied Sciences, vol. 41, pp. 1944-1953 NOTE
49 L.Poggiolini — M.Spadini, Local inversion of a class of piecewise regular maps. Communications On Pure And Applied Analysis, vol. 17, pp. 2207-2224 NOTE
48 A.Calamai — M.P.Pera — M.Spadini, Branches of Forced Oscillations Induced by a Delayed Periodic Force. Advanced Nonlinear Studies, in press NOTE
47 L.Bisconti — M.Spadini, On the set of harmonic solutions of a class of perturbed coupled and nonautonomous differential equations on manifolds. Communications on Pure and Applied Analysis, 16, No. 4 (2017), 1471-1492 NOTE
46 A.Calamai — M.P.Pera — M.Spadini, Multiplicity of forced oscillations for the spherical pendulum acted on by a retarded periodic force . Nonlinear Analysis 151 (2017) 252-264 NOTE
45 L.Poggiolini — M.Spadini, Bang-bang trajectories with a double switching time in the minimum time problem. ESAIM: Control Optimization and Calculus of Variations 22 (2016), 688-709. doi: 10.1051/cocv/2015021 get preprint
Years 2013 — 2015:
44 L.Bisconti — M.Spadini, About the notion of non-$T$-resonance and applications to topological multiplicity results for ODEs on differentiable manifolds. Math. Methods Appl. Sci. 38, No. 18 (2015), 4760-4773. doi: 10.1002/mma.3390 get preprint
43 L.Bisconti — M.Spadini, Harmonic perturbations with delay of separated variables differential equations. Topol. Meth. Nonlin. Analysis 46 n. 1 (2015), 261-282 get preprint
42 A.Calamai — M.Spadini, Periodic perturbations of constrained motion problems on a class of implicitly defined manifolds. Commun. in Contemp. Math. 17, No. 2 (2015) DOI: 10.1142/S0219199714500278 get preprint
41 L.Bisconti — M.Spadini, Sunflower model: time-dependent coefficients and topology of the periodic solutions set. NoDEA, 22 n.6 (2015), 1573-1590. DOI: 10.1007/s00030-015-0336-z NOTE
40 L.Bisconti — M.Spadini, Periodic perturbations with delay of coupled differential equations on manifolds with application to a sunflower-like equation. arXiv 11/2014 get preprint
39 L.Bisconti — A.Calamai — M.Spadini, Periodic solutions of semi-explicit differential-algebraic equations with time-dependent constraints. Boundary Value Problems 2014, Article ID 179 get preprint
38 L.Poggiolini — M.Spadini, Local inversion of planar maps with nice nondifferentiability structure. Adv. Nonlin. Studies, 13 n. 2 (2013), pp. 411-430 get preprint
Years 2010 — 2012:
37 A.Calamai — M.Spadini, Branches of forced oscillations for a class of constrained ODEs: a topological approach. NoDEA, 19, No. 4, 383-399 (2012) get preprint
36 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. get preprint
35 L.Bisconti — M.Spadini, Periodic perturbations with delay of separated variables differential equations. arXiv:1201.4796v2 (2012) get preprint
34 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). get preprint
33 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. get preprint
32 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). get preprint
31 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) get preprint
30 L.Poggiolini — M.Spadini, Bang—bang trajectories with a double switching time: sufficient strong local optimality conditions. arXiv:1010.1149 [math.OC] get preprint
29 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) get preprint
Years 2007 — 2009:
28 M.Furi — M.Spadini, Periodic perturbations with delay of autonomous differential equations on manifolds. Advanced Nonlinear Studies, 9 (2009), no. 2, 263—276. get preprint
27 L.Poggiolini — G.Stefani — M.Spadini, On local state optimality of Pontryagin extremals in the minimum time problem. 8th Portuguese Conference on Automatic Control, UTAD, Universidade de Trás-os-Montes e Alto Douro, Vila Real, Portugal, 21-23 July 2008, UTAD, Universidade de Trás-os-Montes e Alto Douro, pp. 242-247, ISBN:9789726698777 get preprint
26 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) get preprint
25 M.Lewicka — M.Spadini, Branches of forced oscillations in degenerate systems of second order ODEs. Nonlinear Analysis Theory Methods Appl., 68 (2008) 2623-2628 get preprint
24 F.Colonius — R.Fabbri — R.Johnson — M.Spadini, Bifurcation phenomena in control flows. Topol. Methods Nonlin. Anal., 30, 2007, pp. 87-111 get preprint
Years 2004 — 2006:
23 F.Colonius — L.San Martin — M.Spadini, Fundamental semigroups for local control sets. Ann. Mat. Pura App., 185, (2006) get preprint
22 F.Colonius — M.Spadini, Fundamental semigroups for dynamical systems. Discrete and Continuous Dyn. Syst., 14, (2006), 447-463 get preprint
21 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 get preprint
20 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. get preprint
19 M.Furi — M.P.Pera — M.Spadini, On The Uniqueness Of The Fixed Point Index On Differentiable Manifolds. Fixed Point Theory and Applications, 2004, (2004) n.4, 251—259 get preprint
Years 2001 — 2003:
18 F.Colonius — M.Spadini, Uniqueness of local control sets. J. Dynamical and Control Systems, 9, (2003), 513-530. get preprint
17 P.Benevieri — M.Furi — M.P.Pera — M.Spadini, An introduction to topological degree in Euclidean spaces. Università di Firenze, Dipartimento di Matematica Applicata, memoria n. 42, Gennaio 2003 get preprint
16 M.Spadini, Harmonic solutions to perturbations of periodic separated variables ODEs on manifolds. Electronic J. Diff. Equations, 2003, (2003) get preprint
15 P.Benevieri — M.Furi — M.P.Pera — M.Spadini, About the sign of oriented Fredholm operators between Banach spaces. Zeitschrift für Analysis und ihre Anwendungen, 22, (2003), 619-654. get preprint
14 F.Colonius — M.Spadini, A Dynamic Index for Control Sets. Nonlinear Analysis and Applications: To V. Lakshmikantham on his 80th birthday, Vol.1, R.P.Agarwal, D.O'Regan Eds., Kluwer Academic Publishers, Dordrecht; Boston (2003) get preprint
13 M.Lewicka — M.Spadini, A remark on the genericity of multiplicity results for forced oscillations on manifolds. Annali di Matematica Pura ed Applicata, 181 (2002), 85-94. get preprint
12 F.Colonius — M.Spadini, On the Classification of Control Sets. Dynamics, Bifurcation and Control, Lecture Notes in Control and Information Sciences, n. 273, Springer-Verlag, 2002. get preprint
11 M.Furi — M.P.Pera — M.Spadini, Multiplicity of forced oscillations on manifolds and applications to motion problems with one-dimensional constraints. Set-Valued Analysis, 9 (2001), 67-73 get preprint
10 M.Furi — M.P.Pera — M.Spadini, Multiplicity of forced oscillations for scalar differential equations. Electronic J. Diff. Equations, 2001 (2001) n.36 get preprint
Before year 2001
9 M. Spadini, Harmonic solutions of periodic Carathéodory perturbations of autonomous ODE's on manifolds. Nonlinear analysis TMA, 41a, 2000 get preprint
8 M.Furi — M.P.Pera — M.Spadini, Forced oscillations on manifolds and multiplicity results for periodically perturbed autonomous systems. Journal of computational and applied mathematics, 113 (2000) get preprint
7 M.Lewicka — M.Spadini, On the genericity of the multiplicity results for forced oscillations on compact manifolds. NoDEA 6, n.4, 1999 get preprint
6 M.Furi — M.Spadini, Branches of forced oscillations for periodically perturbed autonomous second order ODE's on manifolds. J. of Differential Equations 154 (1999), pp.96-106 get preprint
5 F.Colonius — M.Spadini, Uniqueness of Control Sets for Perturbations of Linear Systems. Stability and Stabilization of Nonlinear Systems, Lecture Notes in Control and Information Sciences, n. 246, Springer Verlag, 1999 get preprint
4 M.Furi — M.Spadini, Multiplicity of forced oscillations for the spherical pendulum. Topological methods in nonlinear analysis, 11 n.1 (1998) get preprint
3 M.Spadini, Perturbazioni periodiche di equazioni differenziali ordinarie su varietà differenziabili. Boll. UMI Vol. 1-A Suppl. (aprile 1998) get preprint
2 M.Furi — M.Spadini, On the set of harmonic solutions of periodically perturbed autonomous differential equations on manifolds. Nonlinear Analysis TMA Vol. 29 (1997) n. 8. get preprint
1 M.Furi — M.Spadini, On the fixed point index of the flow and applications to periodic solutions of differential equations on manifolds. Boll. UMI vol. X-A N.2 (June 1996) get preprint

Books

F.Mugelli — M.Spadini. Metodi Matematici. Progetto Leonardo, ed. Esculapio, Bologna (2013). ISBN: 9788874885794 Publisher
L.Poggiolini — M.Spadini. Esercizi e Temi d'Esame di Analisi Matematica II. Progetto Leonardo, ed. Esculapio, Bologna (2013). ISBN: 9788874886302 Publisher


Dissertations

La teoria dell'indice di punto fisso dal punto di vista della Topologia differenziale. Tesi di Laurea, Università degli Studi di Firenze (1992) PDF
Perturbazioni periodiche di equazioni differenziali ordinarie su varietà differenziabili. Tesi di Dottorato, Università degli Studi di Firenze (1997) PDF


Miscellanea

M.Spadini, L'indice di punto fisso (note informali). PDF
M.Spadini, Note del corso di Metodi Matematici. NOTE
M.Spadini, Eserciziario di Analisi Matematica 2. NOTE
M.Furi (notes by M.Spadini), Second order differential equations on manifolds and forced oscillations. Topological methods in differential equations and inclusions, A.Granas and M.Frigon Eds., Kluwer Acad. Publ. series C., vol. 472, 1995. PDF


Updated on: October 13, 2018 - 17:39