Universitatea Babeş-Bolyai
Facultatea
de Matematică şi Informatică
Qualitative Theory of Differential Equations
Academic Year 2023/2024
Conf. Dr. Habil. Adriana
Buică e-mail: abuica[at]math.ubbcluj.ro
The lessons will be given according to the schedule published on the
webpage of our faculty.
Also, we will use MICROSOFT TEAMS for informal meetings, announcements,
assignements, and for publishing useful materials. The name of our team:
QT_Diferential_Equations_2023/2024
The code necessary to join our team is
jg7c3wk
For online questions please use the chat from TEAMS.
Grading policy
·
40%
activity during the semester
(report and homeworks)
·
60%
exam
Bibliography
1.
Viorel Barbu, Differential
Equations, Springer, 2016.
2.
A. Castaneda, G. Robledo, Exponential dichotomies with applications,
unpublished manuscript, 2023.
3.
Carmen Chicone, Ordinary Differential Equations
with Applications, Springer, 2006.
4.
E.A. Coddington, N. Levinson, Theory of
ordinary differential equations, 1959.
5.
W. A. Coppel, Stability and asymptotic
behavior of differential equations, 1965.
6.
W. A. Coppel, Dichotomies in stability
theory, Springer, 1978.
7.
P. Hartman, Ordinary differential equations, SIAM, 2002.
8.
L. Perko, Differential equations and
dynamical systems, Springer, 2001.
9.
Radu Precup, Ordinary
Differential Equations, De Gruyter, 2018.
10. Ioan A. Rus, Ecuatii diferentiale, ecuatii integrale si sisteme dinamice,
Transilvania Press, 1996.
11.
Thomas C. Sideris, Ordinary Differential Equations and Dynamical
Systems, Atlantis Press, 2013. pdf
12. M.A.
Șerban, Ecuații și sisteme de ecuații diferențiale,
Presa Universitară Clujeană, 2009.
13.
Gerald Teschl,
Ordinary Differential Equations and Dynamical Systems, Graduate Studies in
Mathematics, 140,
American
Mathematical Society, 2012.
http://www.mat.univie.ac.at/~gerald/ftp/book-ode/
14. M. Viana, J.M Espinar, Differential
equations: a dynamical systems approach to theory and practice, American
Mathematical Society, 2021.
15. Ioan I. Vrabie, Differential Equations, World Scientific, 2004.
1.
MacTutor History of Mathematics archive,
University of St Andrews, Scotland. http://www-history.mcs.st-andrews.ac.uk/index.html
2.
The Mathematics Genealogy Project
3.
About Henri Poincare: Poincare1 Poincare2 Poincare3
4.
About
Jack Hale Hale1 Hale2 Hale3
5.
About George David Birkhoff Birkhoff1
6.
About Augustin Louis Cauchy Cauchy1 Cauchy2
7.
About Aleksandr
Lyapunov Lyapunov1 Lyapunov2
8.
History of Dynamical Systems History1 http://www.scholarpedia.org/article/History_of_dynamical_systems