Refereed Publications

R. Herzog, D. Strelnikov. An Optimal Control Problem for Single-Spot Pulsed Laser Welding, Journal of Mathematics in Industry, 13 (2023), article no. 4. arXiv:2109.10788v2, GitHub
V. Derkach, D. Strelnikov, H. Winkler. On a class of integral systems, Complex Analysis and Operator Theory, 15 (2021), article no. 103.
L. Pestov, D. Strelnikov. Approximate boundary controllability of wave equation with mixed boundary conditions and sound-speed reconstruction, 2019 Days on Diffraction (DD), pp. 144-147.
D. Strelnikov. Boundary triples for integral systems on the half-line, Methods of Functional Analysis and Topology, 25 (2019), no. 1, pp. 84-96.
L. Pestov, D. Strelnikov. Approximate controllability of the wave equation with mixed boundary conditions, Journal of Mathematical Sciences, 239 (2019), no. 2, pp. 75-85.
D. Strelnikov. Boundary triples for integral systems, Reports of the National Academy of Sciences of Ukraine, 7 (2018), pp. 3-9.
D. Strelnikov. Boundary triples for integral systems on finite intervals, Journal of Mathematical Sciences, 231 (2018), no. 1, pp. 83-100.

Research projects

2019-now Simulation based optimization of the time-dependent pulse power for laser beam welding of aluminum alloys in order to avoid hot cracks. Technische Universität Chemnitz, Technische Universität Ilmenau.
2018-2019 Properties of singular solutions of differential equations, spectral analysis of difference systems and modeling of nonlinear processes. Vasyl Stus’ Donetsk National University, Vinnytsya.
2016-2019 Modeling, analysis, and approximation theory toward applications in tomography and inverse problems, Volkswagen Foundation, Lübeck/Braunschweig/Berlin.
2016-2018 Mathematical Models for Bio-Medical Problems. Scientific and technical joint project of Ministry of Education, Ukraine and BMBF, Germany.
2016-2019 Direct and inverse spectral problems for differential and difference operators. National Pedagogical Dragomanov University, Kyiv.

D. Strelnikov joint with R. Herzog. An optimal control problem for single-spot laser pulse welding. Joint Workshop of GAMM Activity Groups “Dynamics and Control Theory” and “Optimization with Partial Differential Equations”, 2-3 September 2021, University of Bayreuth.
D. Strelnikov joint with V. Derkach and L. Pestov. Recovering a sound speed in the wave equation from a partial data. Modeling, analysis, and approximation theory toward applications in tomography and inverse problems, 3-7 February 2018, Braunschweig Technical University.
D. Strelnikov. Spectral functions for Sturm-Liouville type integral systems on finite intervals. Workshop on Modeling, analysis, and approximation theory toward applications in tomography and inverse problems", 21-22 August 2018, Humbolt University of Berlin.
D. Strelnikov. Sturm-Liouville integral systems. Siegmundsburg Workshop SS 2018, 24-25 September 2018, Technische Universität Ilmenau.
D. Strelnikov. Boundary Triples for Integral Systems on a Half-line. International Conference in Functional Analysis dedicated to the 125th anniversary of Stefan Banach, 18-23 September 2017, Lviv, Ukraine.