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Fabio Zanolin

Fabio Zanolin

D-Index & Metrics

Mathematics

D-Index
35
Citations
4340
World Ranking
2812
National Ranking
92

Overview

Fabio Zanolin is affiliated with the University of Udine in Italy and specializes primarily in the fields of Mathematics and Physics and Astronomy. Their research contributions span several subfields, including Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics, Computational Theory and Mathematics, and Mathematical Physics.

Their main research topics involve various aspects of differential equations and dynamical systems. These include Advanced Differential Equations and Dynamical Systems, Nonlinear Differential Equations Analysis, Quantum Chaos and Dynamical Systems, Nonlinear Partial Differential Equations, Advanced Mathematical Modeling in Engineering, Mathematical Dynamics and Fractals, and Differential Equations and Numerical Methods.

Several recent papers authored or co-authored by Zanolin illustrate their focus within these topics:

  • Chaos in a Periodically Perturbed Second-Order Equation with Signum Nonlinearity (2020), published in the International Journal of Bifurcation and Chaos
  • On the Qualitative Behavior of a Class of Generalized Liénard Planar Systems (2021), published in the Journal of Dynamics and Differential Equations
  • Uniqueness of positive solutions for boundary value problems associated with indefinite ϕ-Laplacian-type equations (2021), published in Open Mathematics
  • Bound sets for a class of ϕ-Laplacian operators (2021), published in the Journal of Differential Equations
  • On the applicability of the Poincaré-Birkhoff twist theorem to a class of planar periodic predator-prey models (2020), published in Discrete and Continuous Dynamical Systems

Zanolin has collaborated regularly with a number of co-authors, notably including Lakshmi Burra, Guglielmo Feltrin, Julián López-Gómez, Eduardo Muñoz-Hernández, and Alberto Boscaggin, with multiple joint publications with each.

Their work has appeared frequently in several academic venues such as arXiv (Cornell University), Open Mathematics, Journal of Differential Equations, Journal of Mathematical Analysis and Applications, and Journal of Fixed Point Theory and Applications.

Among Zanolin's contributions is also a published book titled The Duffing Equation, scheduled for release by Springer International Publishing in 2025.

Best Publications

  • Continuation theorems for periodic perturbations of autonomous systems

    Anna Capietto;Jean Mawhin;Fabio Zanolin

  • Subharmonic solutions for some second-order differential equations with singularities

    Alessandro Fonda;Raúl Manásevich;Fabio Zanolin

  • A Continuation Approach To Superlinear Periodic Boundary-value-problems

    Anna Capietto;Jean Mawhin;Fabio Zanolin

  • Upper and Lower Solutions for a Generalized Emden-Fowler Equation

    Unknown

  • Existence and Multiplicity Results for Periodic Solutions of Semilinear Duffing Equations

    Tongren Ding;R. Iannacci;F. Zanolin

  • Periodic solutions of Duffing's equations with superquadratic potential

    Tongren Ding;Fabio Zanolin

  • Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential

    Pierpaolo Omari;Fabio Zanolin

  • Time-mappings and multiplicity of solutions for the one-dimensional p -Laplacian

    Raúl Manásevich;Fabio Zanolin

  • Periodic solutions of the Liénard equation with one-sided growth restrictions

    Pierpaolo Omari;Gabriele Villari;Fabio Zanolin

  • Permanence and Positive Periodic Solutions for Kolmogorov Competing Species Systems

    Fabio Zanolin

  • A Fredholm like Result for Strongly Nonlinear Second Order ODE′s

    M. Garciahuidobro;R. Manasevich;F. Zanolin

  • Chaotic Dynamics for Maps in One and Two Dimensions: a Geometrical Method and Applications to Economics

    Alfredo Medio;Marina Pireddu;Fabio Zanolin

  • Maslov index, Poincaré-Birkhoff Theorem and Periodic Solutions of Asymptotically Linear Planar Hamiltonian Systems

    A. Margheri;C. Rebelo;F. Zanolin

  • On a dynamical system in the Liénard plane. Necessary and sufficient conditions for the intersection with the vertical isocline and applications

    G. Villari;F. Zanolin

  • Multiple periodic solutions and complex dynamics for second order ODEs via linked twist maps

    A Pascoletti;M Pireddu;F Zanolin

  • Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities

    C. Rebelo;F. Zanolin

  • Nonlinear perturbations of differential operators with nontrivial kernel and applications to third-order periodic boundary value problems

    Anthony Uyi Afuwape;Pierpaolo Omari;Fabio Zanolin

  • On the periodic boundary value problem and chaotic-like dynamics for nonlinear Hill's equations

    Duccio Papini;Fabio Zanolin

  • Time-maps for the solvability of periodically perturbed nonlinear Duffing equations

    Tongren Ding;Fabio Zanolin

  • Fixed points, periodic points, and coin-tossing sequences for mappings defined on two-dimensional cells

    Duccio Papini;Fabio Zanolin

  • A continuation approach to some forced superlinear Sturm-Liouville boundary value problems

    Anna Capietto;M. Henrard;Jean Mawhin;Fabio Zanolin

Frequent Co-Authors

Jean Mawhin
Jean Mawhin Université Catholique de Louvain
Raúl Manásevich
Raúl Manásevich University of Chile
Pedro J. Torres
Pedro J. Torres University of Granada
Jean-Pierre Gossez
Jean-Pierre Gossez Université Libre de Bruxelles

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