Teachers
Depending on the conditions connected to possible health emergencies, the lessons could be held online.
https://www.uniud.it/it/didattica/corsi/area-scientifica/scienze-matematiche-informatiche-multimediali-fisiche/laurea/matematica/studiare/criteri-guida-di-assegnazione-del-voto-degli-esami-di-profitto/view
The first part of the course concerns autonomous and non-autonomous ordinary differential equations, especially those with periodic coefficients, and the associated dynamic systems. Furthermore, abstract dynamic systems (in metric spaces) and their topological properties (limit sets, orbits, recurrence properties) will be introduced. Some fundamental arguments will also be presented from the application point of view, such as the theory of stability and invariant sets. The second part of the course concerns the introduction of some topological methods in nonlinear analysis, such as the theory of fixed points in finite dimension and infinite dimension and on manifolds, with different applications to non-linear problems. Finally, in the final part of the course some applications of the developed methods will be proposed and some current research fields will be indicated where these methods are used, including the issues related to “deterministic chaos” and complex systems.
At the request of the students, the course can be held in English.
N.P. Bhatia, G.P. Szegö: Stability Theory of Dynamical Systems, Springer, 1970
K. Deimling: Nonlinear Functional Analysis, Springer, 1985
J.K. Hale, Ordinary Differential Equations, Krieger, 1980
students will be provided with more recent articles as well as classroom notes by the teacher.
Università degli Studi di Udine
Dipartimento di Scienze Matematiche, Informatiche e Fisiche (DMIF)
via delle Scienze 206, 33100 Udine, Italy
Tel: +39 0432 558400
Fax: +39 0432 558499
PEC: dmif@postacert.uniud.it
p.iva 01071600306 | c.f. 80014550307
30 km from Slovenia border
80 km from Austria border
120 km from Croatia border
160 km South West of Klagenfurt (Austria)
160 km West of Lubiana (Slovenia)
120 km North East of Venezia (Italy)