Special Issue "Applied Analysis of Ordinary Differential Equations"
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: closed (31 October 2018).
Prof. Dr. Sanjeeva Balasuriya
School of Mathematical Sciences, University of Adelaide, Adelaide, South Australia5005, Australia
Website | E-Mail
Interests: applied analysis and modeling; theoretical areas: nonlinear dynamics, ordinary differential equations, chaotic mixing, nonautonomous systems, stochastic differential equations; applications: fluid dynamics, geophysical fluid dynamics, microfluidics, combustion, biology of growth (tissues, yeast, cells, invasive species), data-driven modeling
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
Manuscript Submission Information
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- ordinary differential equations
- dynamical systems
- applied analysis
- regular and singular perturbations
- asymptotic analysis
- multiple time scales
- stability of solutions
- boundary value problems
- spectral theory
- control theory
- stochastic ordinary differential equations
- impulsive differential equations
- fractional differential equations
- differential equations on lattices/networks