Fernando D. Mazzone

Positions

• Director, Department of Mathematics, Facultad de Ciencias Exactas, Físico-Químicas y Naturales, Universidad Nacional de Río Cuarto.
• Full Professor, Universidad Nacional de Río Cuarto.
• Full Professor, Universidad Nacional de La Pampa.
• Adjunct Researcher, CONICET.

Research interests

Differential equations and calculus of variations; periodic solutions of ordinary and measure differential equations; variational methods and nonsmooth analysis; Orlicz–Sobolev spaces and problems with nonstandard growth; mathematical modeling and structured epidemiological models; celestial mechanics; asteroid astrometry and photometry.

Preprints

1. 2026
   Existence of Periodic Solutions to Equations with Measures via the Shooting Method [DOI]

   Lorenzo Sierra, Fernando Mazzone and Sonia Acinas. SSRN.

Publications

1. 2026
   On the existence of periodic solutions for ϕ-Laplacian inclusion systems [DOI]

   Journal of Mathematical Analysis and Applications 558(1), 130385
2. 2024
   On the homogeneous torsion problem for heterogeneous and orthotropic cross-sections: theoretical and numerical aspects [DOI]

   Applied Numerical Mathematics 201, 579–607
3. 2024
   Modeling and stability analysis of a sliding bead from a problem-based learning perspective [DOI]

   International Journal of Mechanical Engineering Education 52(2)
4. 2024
   The Picard-Lindelöf Theorem and continuation of solutions for measure differential equations [DOI]

   Czechoslovak Mathematical Journal
5. 2022
   Infinitely many periodic solutions for anisotropic Φ-Laplacian systems [DOI]

   Differential Equations & Applications 14(4), 533–551
6. 2019
   Clarke duality for Hamiltonian systems with nonstandard growth [DOI]

   Nonlinear Analysis 188, 1–21
7. 2019
   Periodic solutions of Euler-Lagrange equations in an anisotropic Orlicz-Sobolev space setting [DOI]

   Revista de la Unión Matemática Argentina 60(2), 323–341
8. 2018
   The Sitnikov problem for several primary bodies configurations [DOI]

   Celestial Mechanics and Dynamical Astronomy 130, Article 45
9. 2017
   Periodic solutions of Euler-Lagrange equations with sublinear potentials in an Orlicz-Sobolev space setting [DOI]

   Annales Universitatis Mariae Curie-Sklodowska, Sectio A – Mathematica 71(2), 1–16
10. 2015
    Some existence results on periodic solutions of Euler-Lagrange equations in an Orlicz-Sobolev space setting [DOI]

    Nonlinear Analysis 125, 681–698
11. 2014
    An optimization problem for nonlinear Steklov eigenvalues with a boundary potential [DOI]

    Journal of Mathematical Analysis and Applications 417(1), 234–243
12. 2014
    On estimates for the period of solutions of equations involving the φ-Laplace operator[article]

    Journal of Abstract Differential Equations and Applications 5(1), 21–34
13. 2014
    Collaborative Asteroid Photometry and Lightcurve Analysis at Observatories OAEGG, OAC, EABA, and OAS[article]

    Minor Planet Bulletin 41, 17–19
14. 2012
    The Lightcurve Analysis of 918 Itha and 2008 Konstitutsiya[article]

    Minor Planet Bulletin 39, 1–2
15. 2012
    Period Determination for 1996 Adams and 2699 Kalinn by AOACM[article]

    Minor Planet Bulletin 38, 102
16. 2009
    On maximal inequalities arising in best approximation[article]

    Journal of Inequalities in Pure and Applied Mathematics 10(2), Article 58
17. 2007
    A minimizing property of best monotone approximants on their level surfaces [DOI]

    Journal of Approximation Theory 146(1), 71–86
18. 2007
    A minimax formula for the best natural C([0,1])-approximate by nondecreasing functions [article]

    Real Analysis Exchange 32(1), 171–177
19. 2005
    A characterization of best ϕ-approximants with applications to multidimensional isotonic approximation [DOI]

    Constructive Approximation 21(2), 207–223
20. 2003
    A single phase variational problem involving the area of level surfaces [DOI]

    Communications in Partial Differential Equations 28(5–6), 991–1004
21. 2002
    Isotonic approximation in L1 [DOI]

    Journal of Approximation Theory 117(2), 279–300
22. 2002
    On the structure of the set of best ‖·‖Φ-approximants[schoolar]

    Commentationes Mathematicae (Prace Matematyczne) 42(1), 87–102
23. 2001
    Maximal inequalities and Lebesgue’s differentiation theorem for best approximant by constant over balls [DOI]

    Journal of Approximation Theory 110(2), 171–179
24. 2001
    On best local approximants in L2(Rⁿ) [journal issue]

    Revista de la Unión Matemática Argentina 42(2), 51–56
25. 1999
    On the norm of the metric projections [DOI]

    Journal of Approximation Theory 97(2), 214–219
26. 1995
    A characterization of almost everywhere continuous functions [article]

    Real Analysis Exchange 21(1), 317–319
27. 1995
    A note on metric projections [DOI]

    Journal of Approximation Theory 81(3), 425–428