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Scientific activity

Main scientific interests of the department of Differential Equations:
  • Mathematical Modeling, Optimization and Control of Dynamical Systems and Processes in Science and Engineering.
  • Optimal Control Problems for Partial Differential Equations with Control and State Constraints.
  • Optimization of Traffic Flows on Networks.
  • Optimal Control Problems for Nonlinear Hyperbolic Conservation Lows.
  • Asymptotic Analysis of Optimization Problems on Reticulated Structures (perforated domains, thick multi-structures, thick junctions).
  • Homogenization and Variational Convergence of Optimal Control Problems.
  • Optimal Control Problems on Thick Periodic Graphs.
  • Optimal Control Problems in Coefficients for Nonlinear PDE.
  • Optimization Theory in Partially Ordered Normed Spaces.
  • Inverse Problem Theory and Methods for Model Parameter Estimation.
  • Exact and Approximate Methods of the Theory of Differential and Integral-Differential Equations.
  • Mathematical Modeling and Simulation of the Heat and Mass Transfer Processes with Nonequilibrium Relaxation.
On a regular base the department conducts the scientific seminar on  “Modern Problems of Optimization and Mathematical Modeling” for research fellows, postgraduates, and senior students.

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Journal of Optimization, Differential Equations and their Applications

The "Journal of Optimization, Differential Equations and their Applications” (shortly JODEA) publishes original research articles related with the recent developments both in theory and applications of ordinary differential equations, partial differential equations, integral equations, functional differential equations, stochastic differential equations, optimal control theory, scalar and vector optimization, and other related topics. The journal will also accept papers from some related fields such as functional analysis, probability theory, stochastic analysis, inverse problems, numerical computation, mathematical finance, game theory, system theory, etc., provided that they have some intrinsic connections with control theory and differential equations. Papers employing differential equations as tools serving the cause of interdisciplinary areas such as physical, biological, environmental and health sciences, mechanics and engineering are encouraged. The goal is to provide a complete and reliable source of mathematical methods and results in these fields.

The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. To be published in this journal, an original paper must be correct, new, nontrivial and of interesting to readers.

JODEA is issued two times per year. It is edited by a group of international leading experts in mathematical control theory, differential equations and related fields. The journal is essential reading for scientists and researchers who wish to keep abreast of the latest developments in the field of differential equations and their applications. The journal is founded in 2018 by Oles Honchar Dnipro National Universuty for researchers and PhD-students who are working in the field of mathematics and applied mathematics. JODEA is printed according to the decision of the Academic council of the Oles Honchar Dnipro National University and is continuation of the journal "Bulletin of the Dnipropetrovsk University. Series: Modeling" (2009 – 2017, ISSN (Print): 2312-4547, ISSN (Online): 2415-7325) and a series of releases of the collection of scientific works "Differential equations and their applications" which were annually printed during the period from 1968 to 2008.

JODEA is not a peer-reviewed journal without any donations and payment for publications.