Strict stability criteria of perturbed systems with respect to unperturbed systems in terms of initial time difference. (English) Zbl 1159.34040

Aliyev Azeroğlu, Tahir (ed.) et al., Complex analysis and potential theory. Proceedings of the conference satellite to ICM 2006, Gebze, Turkey, September 8–14, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-598-3/hbk). 239-248 (2007).
The author investigates the question of the stability of a system of ordinary differential equations under a perturbation in which initial conditions are allowed to change. After a series of definitions, he derives some Lyapunov-type theorems.
For the entire collection see [Zbl 1124.30001].


34D20 Stability of solutions to ordinary differential equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations