Qualitative Theory for Ordinary Differential Equations
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Dynamical Systems".
Deadline for manuscript submissions: closed (31 January 2021) | Viewed by 17534
Special Issue Editor
Special Issue Information
Dear Colleagues,
Qualitative analysis has proved to be an important and useful tool to investigate the properties of solutions of differential equations, because it is able to analyze differential equations without solving analytically and numerically. Since the qualitative analysis of differential equations is related to both pure and applied mathematics, its applications to various fields such as science, engineering, ecology have been extensively developed, and it has been and will continue to be one of the main themes in mathematics theoretically and practically.
The objective of this special issue is to report on the latest achievements in the qualitative theory of ordinary differential equations. It will reflect both the state-of-the-art theoretical research and important recent advances in applications. The qualitative theory is used for modeling many by differential equations and the analysis of qualitative properties of solutions to such equations is crucial for applications. It is important 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 established and young scientists actively working in the subject.
This special issue will collect high-quality contributions from leading experts and researchers actively working in the field. Topics of interest include, but are not limited to:
Singularities and local behavior of solutions, Stability properties and asymptotic behavior of solutions, Existence, bifurcations and stability of periodic solutions, Existence and properties of almost periodic solutions, Nonlinear ordinary differential operators, Symmetries and integrability of ordinary differential equations.
Prof. Dr. Jaume Giné
Guest Editor
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Keywords
- Qualitative theory
- Stability
- Bifurcation
- Singular points
- Periodic solutions
- Symmetries
- Integrability
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