Applied Analysis of Ordinary Differential Equations 2018

Dear Colleagues,

One might say that ordinary differential equations (notably in Isaac Newton’s analysis of the motion of celestial bodies) had a central role in the development of modern applied mathematics.  This Special Issue is devoted to research articles which build on this spirit: combining analysis with applications of ordinary differential equations (ODEs).

ODEs arise across a spectrum of applications in physics, engineering, geophysics, biology, chemistry, economics, etc., because the rules governing the time-variation of relevant fields is often naturally expressed in terms of relationships between rates-of-change. ODEs also emerge in stochastic models—for example when considering the evolution of a probability density function—and in large networks of interconnected agents. The increasing ease of numerically simulating large systems of ODEs has resulted in a plethora of publications in this area; nevertheless, the difficulty of parametrizing models means that computational results by themselves are sometimes questionable. Therefore, analysis cannot be ignored.

This Special Issue solicits articles that possess both the following features: interesting applications, and mathematical analysis driven by such applications.  Novel and innovative applications of ODEs are particularly welcome, as are unconventional ways of using rigorous mathematics to obtain intuition in applications.

Prof. Dr. Sanjeeva Balasuriya
Guest Editor

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