Seminar on Differential Equations and Dynamical Systems: Part 1: Lecture Notes in Mathematics, cartea 60

Recent results in perturbation theory.- The existence of critical points in generalized dynamical systems.- Stability and existence of periodic and almost periodic solutions.- Asymptotic equivalence.- Extending Liapunov’s second method to non-lipschitz Liapunov functions.- Characterizing solutions of the pontriagin maximum principle.- Liapunov functions and the existence of solutions tending to 0.- Fundamental matrix in linear functional differential equations.- Asymptotic stability for functional differential equations.- The use of Liapunov functions for global existence.- A remark on a result of Strauss.- Single species model for population growth depending on past history.- An extension of Chetaev’s instability theorem using invariant sets and an example.