Special Issue: Advances in Qualitative Theory of Differential Equations
Guest Editors
Prof. Jaume Giné
Departament de Matemàtica, Universitat de Lleida, Av. Jaume II, 69, 25001 Lleida, Catalonia, Spain
Email: jaume.gine@udl.cat
Prof. Valery G. Romanovski
Faculty of Electrical Engineering and Computer Science, University of Maribor, Koroska cesta 46, SI-2000 Maribor, Slovenia
Center for Applied Mathematics and Theoretical Physics, Mladinska 3, SI-2000 Maribor, Slovenia
Faculty of Natural Science and Mathematics, University of Maribor, Koroska cesta 160, SI-2000 Maribor, Slovenia
Email: Valerij.Romanovskij@um.si
Manuscript Topics
Qualitative theory has proved to be a useful tool for determine the properties of solutions of differential equations. The qualitative theory is able to analyze ordinary differential equations without determining the solutions analytically or numerically. The qualitative theory of differential equations is related to pure and applied mathematics, and can be applied to several fields such as science, engineering, and ecology. The aim of this Special Issue is to report on the latest achievements in the qualitative theory of ordinary differential equations. The objective will be reflect both the state-of-the-art theoretical research and important recent advances in applications, to develop new theories and methods, as well as to modify and refine the well-known techniques for the analysis of new classes of problems.
We are mainly interested in ordinary differential equations, autonomous or non-autonomous, smooth or non-smooth. We hope to gather together senior and young scientists actively working on the field. This Special Issue will collect high-quality contributions from leading experts and researchers actively working in the subject. The topics of interest include, but are not limited to the singularities and local behavior of solutions, the stability properties and asymptotic behavior of solutions, existence, the bifurcations and stability of periodic solutions, the existence and properties of almost-periodic solutions, nonlinear ordinary differential operators, and the symmetries and integrability of ordinary differential equations.
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