**Applied Mathematics**

Applied Mathematics is an open access, peer-reviewed scientific journal that publishes original articles, critical reviews, research notes, debate and short reports in all areas of applied mathematics.

**p-ISSN:**2163-1409**e-ISSN:**2163-1425**Website:**http://journal.sapub.org/am

## Annamaria Barbagallo

**Editorial Board Member of**

*Applied Mathematics*Doctoral, Department of Mathematics and Applications "R. Caccioppoli" - University of Naples "Federico Ii", Italy

**Research Areas**

Existence and Regularity For Evolutionary Variational and Quasi-Variational Inequalities; Traffic Equilibrium Problem; Price Equilibrium Problem For Spatially Distributed Markets; Equilibrium Problems On Time-Dependent Networks; Duality Theory and Non Reg

### Education

2007 | Ph.D | Computation and Information Sciences, University of Naples "Federico II" |

### Experience

Researcher MAT/05 (Mathematical Analysis), University of Naples"Federico II", from December 17th, 2010 | |

Visiting Postdoctorial Fellow from July 8th to 19th, 2008 at the Department of Mathematics, University of Central Florida | |

Post-doctorial Fellow at the Operations Research, Computation & Analysis of Systems Research Group, at the Department of Mathematics & Statistics, University of Guelph, Canada, March-October 2007 | |

Contract of external collaboration for the research of algorithms to solve static and dynamic variational models of equilibrium problems at the Department of Mathematics and Computer Science, University of Catania, November 2nd-December 31st, 2006 |

### Academic Achievement

Winner of a national competition for an "Assegno di Ricerca" on "Equilibrium Problems and Variational Models", Faculty of Mathematical, Physical, and Natural Sciences, University of Catania, from December 1st, 2010 until December 15th, 2010 |

Winner of a national competition for an "Assegno di Ricerca" on "Variational Principles and Applications to Static and Dynamic Equilibrium Problems", Faculty of Mathematical, Physical, and Natural Sciences, University of Catania, from November 2nd, 2007 u |

### Publications: Journals

[1] | A. Barbagallo, "Degenerate time-dependent variational inequalities with applications to traffic equilibrium problems", Computational Methods in Applied Mathematics 6, no. 2, 2006, 117–133. |

[2] | A. Barbagallo, "Existence of continuous solutions to time-dependent variational inequalities", Journal of Nonlinear and Convex Analysis 7, no. 3, 2006, 343–354. |

[3] | A. Barbagallo, "Regularity results for time-dependent variational and quasi-variational inequalities with applications to dynamic traffic networks", Communications to SIMAI Congress 1, no. 1, 2006, 1–4. |

[4] | A. Barbagallo, "Regularity results for time-dependent variational and quasi-variational inequalities and application to calculation of dynamic traffic network", Mathematical Models and Methods in Applied Sciences 17, no. 2, 2007, 277–304. |

[5] | Barbagallo, "Existence of continuous solutions to evolutionary quasi-variational inequalities with applications", Le Matematiche 62, no. 2, 2007, 13–27. |

[6] | A. Barbagallo, "Dynamic spatial price equilibrium problem: regularity results and computational procedures", Communications to SIMAI Congress 2, no. 1, 2007, 1–10. |

[7] | A. Barbagallo, "Regularity results for evolutionary nonlinear variational and quasivariational inequalities with applications to dynamic equilibrium problems", Journal of Global Optimization 40, no. 1-3, 2008, 29–39. |

[8] | A. Barbagallo and M.-G. Cojocaru, "Dynamic equilibrium formulation of oligopolistic market problem", Mathematical and Computer Modelling 49, 2009, 966–976. |

[9] | A. Barbagallo and M.-G. Cojocaru, "Continuity of solutions for parametric variational inequalities in Banach space", Journal of Mathematical Analysis and Applications 351, 2009, 707–720. |

[10] | A. Barbagallo, "Existence and regularity of solutions to nonlinear degenerate evolutionary variational inequalities with applications to dynamic network equilibrium problems", Applied Mathematics and Computation 208, 2009, 1–13. |

[11] | A. Barbagallo, "On the regularity of retarded equilibria in time-dependent traffic equilibrium problems", Nonlinear Analysis 71, 2009, e2406–e2417. |

[12] | A. Barbagallo and M.-G. Cojocaru, "Dynamic vaccination games and variational inequalities on time-dependent sets", to appear on Journal of Biological Dynamics, 4, no. 6 2010, 539–558. |

[13] | A. Barbagallo and A. Maugeri, "Memory term for dynamic oligopolistic market equilibrium problem", Aplimat-Journal of Applied Mathematics 3, no. 2, 2010, 13–23. |

[14] | A. Barbagallo and A. Maugeri, "Duality theory for the dynamic oligopolistic market equilibrium problem", Optimization 60, no. 1-2, 2011, 29–52. |

[15] | A. Barbagallo and S. Pia, "Weighted variational inequalities in non-pivot Hilbert spaces with applications", Computational Optimization and Applications 48, no. 3, 2011, 487–514. |

[16] | A. Barbagallo, P. Daniele and A. Maugeri, "Variational formulation for a general dynamic financial equilibrium problem. Balance law and liability formula", Nonlinear Analysis (2010), doi: 10.1016/j.na.2010.10.013. |

[17] | A. Barbagallo and R. Di Vincenzo, "Lipschitz continuity and duality for dynamic oligopolistic market equilibrium problem with memory term", Journal of Mathematical Analysis and Applications 382, 2011, 231-247. |

[18] | A. Barbagallo, "Retarded weighted quasi-variational inequalities for traffic network equilibrium problems", accepted on Optimization and Engineering. |

[19] | A. Barbagallo, R. Di Vincenzo and S. Pia, "On strong Lagrange duality for weighted traffic equilibrium problem", accepted on Discrete and Continuous Dynamical Systems-Series A. |

### Publications: Conferences/Workshops/Symposiums

[1] | A. Barbagallo, "Dynamic spatial price equilibrium problem: regularity results and computational procedures", Proceedings in Applied Mathematics and Mechanics, 7, no. 1, 2007, 2060035–2060036. |

[2] | M. Milasi and A. Barbagallo, Preface of Minisymposium "Variational Inequalities and Equilibrium Problems: Existence and Duality Theory and Computation" in "Numerical Analysis and Applied Mathematics", Eds. T.E. Simos, G. Psihoyios and C. Tsitouras, AIP Conference Proceedings, vol. 2, 2009, pp. 1472–1473. |

[3] | A. Barbagallo, S. Pia and R. Reyes Calvo, "Some results on Weighted variational inequalities and applications to traffic equilibrium problem", in "Numerical Analysis and Applied Mathematics", Eds. T.E. Simos, G. Psihoyios and C. Tsitouras, AIP Conference Proceedings, vol. 2, 2009, pp. 1486–1489. |

[4] | A. Barbagallo, R. Di Vincenzo and S. Pia, "Duality for weighted traffic equilibrium problem and computational procedure", in "Numerical Analysis and Applied Mathematics", Eds. T.E. Simos, G. Psihoyios and C. Tsitouras, AIP Conference Proceedings, vol. 1168, 2009, pp. 1474–1478. |

[5] | A. Barbagallo and A. Maugeri, "Memory term for dynamic oligopolistic market equilibrium problem", Proceedings of "9th International Conference APLIMAT 2010", 2010, 109–118. |

[6] | A. Barbagallo and A.M. Ragusa, "Preface of SThe 2nd Symposium on Variational Inequalities and Equilibrium Problems", in "Numerical Analysis and Applied Mathematics", Eds. T.E. Simos, G. Psihoyios e Ch. Tsitouras, AIP Conference Proceedings, vol. 1281, 2010, pp. 259–260. |

[7] | A. Barbagallo and S. Pia, "Weighted quasi-variational inequalities in transportation networks", in "Numerical Analysis and Applied Mathematics", Eds. T.E. Simos, G. Psihoyios and Ch. Tsitouras, AIP Conference Proceedings, vol. 1281, 2010, pp. 265–268. |

### Publications: Books/Book Chapters

[1] | A. Barbagallo, "Time-dependent traffic equilibrium problem and computational procedure", in "Nonlinear analysis with applications in Economics, Energy and Transportation", E. Allevi, M. Bertocchi, A. Gnudi and I.V. Konnov (Eds.), Bergamo University Press, 2007, 11–23. |

[2] | A. Barbagallo and S. Pia, "Weighted traffic equilibrium problem with Delay in nonpivot Hilbert spaces", in "Applied and Industrial Mathematics in Italy: No. III", E. De Bernardis and R. Spigler, V. Valente (Eds.), World Scientific Publishing, Singapore, 2009, 51–61. |