Qualitative Analysis of Differential Equations
1Department of Mathematics, University of Toyama, Toyama 930-8555, Japan
2Department of Mathematics and Statistics, Masaryk University, 611 37 Brno, Czech Republic
3Department of Mathematical Analysis and Numerical Mathematics, Comenius University, 842 48 Bratislava, Slovakia
4Department of Mathematics, University of Zagreb, 10000 Zagreb, Croatia
Qualitative Analysis of Differential Equations
Description
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. The study of qualitative properties of differential equations has a long history, and qualitative theories have been developed for various equations such as ordinary differential equations, functional differential equations, abstract differential equations, dynamical systems, integral equations, difference equations, partial differential equations, and functional partial differential equations. Since the qualitative analysis of differential equations is related to both pure and applied mathematics, its applications to various fields such as science, engineering, and ecology have been extensively developed, and it has been and will continue to be one of the main themes in mathematics theoretically and practically. We invite authors to submit original research and review articles for the special issue on qualitative analysis of differential equations. Potential topics include, but are not limited to:
- Asymptotic theory
- Oscillation theory and periodicity of solutions
- Comparison theory
- Nonlinear ordinary differential operators
- Singularities and local behavior of solutions
- Boundedness and regularity of solutions
- Stability theory
- Bifurcation theory
- Applications to physics, chemistry, biology, engineering, ecology, and so forth
Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/ijde/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/ijde/qade/ according to the following timetable: