This special issue is mainly devoted to a rapidly developing branch of the qualitative theory of (partial) differential equations, difference equations, and dynamic equations on time scales with or without deviating arguments. It covers oscillation and asymptotic theories and stability theory of previously said equations and their systems, as well as their applications in numerical analysis, mathematical biology, economics and finance, and other related areas. Research on oscillation/nonoscillation of solutions of these equations is currently very active, and this special issue will contain high-quality papers on current related topics written by world-leading experts in the area. Potential topics include, but are not limited to:

• Oscillation/nonoscillation theory for differential equations, difference equations, and dynamic equations on time scales
• Asymptotic behavior of solutions of differential equations, difference equations, and dynamic equations on time scales
• Stability theory of differential equations, difference equations, and dynamic equations on time scales
• Applications to numerical analysis, mathematical biology, economics and finance, and other sciences
• Considered equations may be of first-order equations, higher order equations, systems of equations, Sturm-Liouville equations, and Hamiltonian systems

Before submission authors should carefully read over the journal’ 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/odd/ according to the following timetable: