Universitatea Babeş-Bolyai

Facultatea de Matematică şi Informatică

Qualitative Theory of Differential Equations

Academic Year 2025/2026

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:

Qualitative Theory of Differential Equations 2025/2026

The code necessary to join our team is

yoc2tfs

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 A. Castaneda, G. Robledo, Exponential dichotomies with applications, unpublished manuscript, 2023.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