This monograph generally represents a study on differential equations, starting from their qualitative overview, by emphasizing both geometrical and dynamical aspects, at last but not at least accentuating their various applications, through concrete models from Mechanics, Medicine, and not only. The subject of the work is of high topical, having relevant theoretical and applicative results.
The authors are members of a research group on nonlinear analysis, differential geometry, and numerical analysis, of the Department of Applied Mathematics of the University of Craiova. The Chapters of this book structure the main authors' scientific interests within the last years, as well as their latest results.
A series of numerical simulations incline to strengthen the presented studies and to “convince” the rightful necessity of the join between the qualitative study of differential equations and the numerical simulations. The work thus purposeful, wishes to be an useful matter both for the acknowledged researchers and the students from the adjacent Master's specializations, PhD students, and postdoctoral students, who wish to focus their research to this field found at the intersection of the pure with the applied Mathematics.