Twenty years of ordinary differential equations through twelve Oberwolfach meetings
After a short history of twelve conferences on Ordinary Differential Equations (ODE) in Oberwolfach 1968-1989 a survey is given on the main developments of this field during the corresponding period, as reflected in these meetings. Their organizing committees have only one intersection, H. W. Knobloch; this survey is dedicated to him on the occasion of his 65th birthday. Thirtheen topics are reviewed: Stability and control, Generalized DE (in abstract spaces), Upper and lower solutions and differential inequalities, Topological degree techniques, Integral manifolds and averaging method, Bifurcation and chaos, Periodic nonlinearities, Hamiltonian systems and Conley index, Sixtienth Hilbert problem and cycles of autonomous equations, Dynamical approach to PDE, Linear DE in \(\mathbb{R}\) and oscillation theory, ODE in the complex field, Approximation and numerical methods, Applications. For every topic the authors of contributions and years are indicated. Also the books and monographs, published during the period 1968-1989, are referred from the list including 160 items and giving a useful guide to the recent literature in ODE and their applications.
scientific article; zbMATH DE number 62160
scientific article