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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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Bulletin of Dnipropetrovsk University. Series: Communications in Mathematical Modeling and Differential Equations Theory

"The Bulletin of Dnipropetrovsk University. Series: “Communications in Mathematical Modeling and Differential Equations Theory” (shortly “BDU-Modelling”) is concerned with the theory and the application of partial differential equations, dynamical systems, optimal control theory and other related topics. The goal is to provide a complete and reliable source of mathematical methods and results in this field. The journal will also accept papers from some related fields such as functional analysis, probability theory and stochastic analysis, inverse problems, optimization, numerical computation, mathematical finance, game theory, system theory, etc., provided that they have some intrinsic connections with control theory and differential equations.

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.

BDU-Modelling is a yearly publication. It is edited by a group of international leading experts in mathematical control theory and related fields. A key feature of BDU-Modelling is the journal's rapid publication, with a special emphasis on the highest scientific standard. The journal is essential reading for scientists and researchers who wish to keep abreast of the latest developments in the field. BDU-Modelling is a publication of the DnipropetrovskNationalUniversity. The journal had been founded in 2009 for researchers and students in the field of mathematics.