Speciality: 01.01.09 (Discrete mathematics and mathematical cybernetics)
Birth date: 13.05.1962
Phone: +38 (067) 631 67 55
E-mail:
Keywords: optimal control of PDE, homogenization, Г-convergence, G-convergence, nonscalar optimization problem, variational approach, efficient solutions.
UDC: 517.9, 517.977, 517.988, 517.95
MSC: 35B27, 35B37, 35B40, 47J20, 49J53, 49J20, 49K30, 49N05, 58E17, 90C46

Subject:

Optimal control of systems with distributed parameters, asymptotic analysis of variational problems, homogenization of optimization problems, non-scalar optimization in normed spaces.

Main publications:

1. Ciro D'Apice, Umberto De Maio, Peter I. Kogut, “Suboptimal boundary controls for elliptic equation in critically perforated domain”, Ann. Inst. H. Poincari Anal. Non Linéaire, 25:6 (2008), 1073–1101      
2. Ciro D'Apice, Umberto De Maio, Peter I. Kogut, “Boundary velocity suboptimal controls of incompressible flow in cylindrically perforated domain”, Discrete Contin. Dyn. Syst. Ser. B, 11:2 (2009), 283–314      
3. Ciro D'Apice, Umberto De Maio, Peter I. Kogut, “Gap phenomenon in the homogenization of parabolic optimal control problems”, IMA J. Math. Control Inform., 25:4 (2008), 461–489      
4. Peter I. Kogut, Günter Leugering, “Asymptotic analysis of state constrained semilinear optimal control problems”, Journal of Optimization Theory and Applications (JOTA), 135:2 (2007), 301–321      
5. Peter I. Kogut, Günter Leugering, “Homogenization of optimal control problems for one-dimensional elliptic equations on periodic graph”, ESAIM Control Optim. Calc. Var., 15:2 (2009), 471–498      

Publications in Math-Net.Ru

Personal pages:

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Organisations:

• Dnepropetrovsk National University
• Dnepropetrovsk National University of Railway Transport