dr Dominika Machowska

Contact datails

Academic and Research Career
University of Łódź, Faculty of Mathematics and Computer Sciences, Mathematics, mathematics: Applied
mathematics and numerical methods, 2002, master of science.

University of Łódź, Faculty of Mathematics and Computer Sciences, Mathematics, 2009, doctor, doctoral
dissertation entitled: Optimization of Goursat-Darboux systems over an infinite horizon.


  • Machowska, D., Nowakowski, A., 2020, Competition in defensive and offensive advertising strategies in a segmented market, European Journal of Control, 58, 98-08, https://www.sciencedirect.com/science/article/pii/S094735801930202X?dgci...
  • Amir, R., Liu, H., Machowska, D., Resende J., 2019, Spillovers, subsidies, and second‐best socially optimal R&D, Journal of Public Economic Theory, https://doi.org/10.1111/jpet.12411.
  • Machowska, D., 2019, Delayed effects of cooperative advertising in goodwill dynamics, Operations Research Letters, 47(3), 178-184. 
  • Górajski M., Machowska D., 2019, How do loyalty programs affect goodwill? An optimal control approach, 4OR-Q J Oper Res,17, 297–316.
  • Machowska, D., 2018, Investigating the role of customer churn in the optimal allocation of offensive and defensive advertising: the case of the competitive growing market, Economics and Business Review, 4(2), 3-23. 
  • Górajski M., Machowska D., 2018, The effects of technological shocks in an optimal goodwill model with a random product life cycle, Computers & Mathematics with Applications, 76(4), 905-922.
  • Górajski M., Machowska D., 2017, Optimal double control problem for a PDE model of goodwill dynamics, Mathematical Methods of Operations Research, 85(3), 425-452.
  • Bogusz(Machowska), D. i Górajski, M., 2015, The influence of consumer recommendations on advertising strategies in a non-linear optimal goodwill model with market segmentation. Mathematical Economics, 11(18):5-21.
  • Bogusz(Machowska), D. i Górajski, M., 2014, Wpływ elastyczności wizerunkowej popytu na kształt optymalnych strategii reklamowych w modelu renomy firmy, Rozdział w: Matematyka i informatyka na usługach ekonomii. Rozważania ogólne. Modele, s.156-170. Wydawnictwo Uniwersytetu Ekonomicznego w Poznaniu.
  • Milo W., Bogusz(Machowska), D., Górajski M., Ulrichs M., 2013, Notes on Some Optimal Monetary Policy Rules: the Case of Poland, Acta Universitatis Lodziensis. Folia Oeconomica, 295, 59-77.
  • Bogusz(Machowska), D., 2013, “On the Existence of a Classical Optimal Solution and of an Almost Strongly Optimal Solution for an Infinite-Horizon Control Problem” Journal of Optimization Theory and Applications, 156, 2.
  • Bogusz(Machowska), D., 2012, The Shape of advertising response function in monopolistic firm, Economic University of Poznań
  • Bogusz(Machowska), D., M. Malaczewski, A. Zglińska-Pietrzak, 2009, An effect of cyclical market for regime change, Metody Matematyczne, Ekonometryczne i Komputerowe w Finansach i Ubezpieczeniach, AE Katowice
  • Wojtal, A ., Bogusz(Machowska), D., Menshutkin, V., Izydorczyk, K., Frankiewicz, P., Wagner-Łotkowska, I. & Zalewski, M., 2008, A study of Daphnia Leptodora juvenile Percids interactions using a mathematical model in the biomanipulated Sulejow Reservoir. Annales de Limnology - International Journal of Limnology 44 (1), 7-23.  
  • Bogusz(Machowska) D., 2007, Helly’s Principle and Its Application to an Infinite - Horizon Optimal Control Problem, Journal of Optimization Theory and Applications, 134, 371 - 383.
  • Bogusz(Machowska), D. at all 2005, A Long-Term Biodiversity, Ecosystem and Awareness Research Network Modelling and Forecasting, Ed. by Flemming Skov, Sandrine Petit and Chris Topping, WPR6-2005-01
  • Wojtal, A ., Bogusz(Machowska), D., Frankiewicz, P. & Zalewski, M., 2005, Effect of hydrological conditions  and trophic interactions on water quality reservoir  -  examples of the use of mathematical modeling; Ed. by W: Gwoździński K. Bory Tucholskie III - zagrożenia i ochrona. Wydawnictwo UŁ


  1. (GOCE-CT-2003-505298), Framework Programme 6 EU, ALTER-Net: A Long-Term Biodiversity,Ecosystem and Awareness Research Network (2004-2009), main contractor of WP6;  
  2. (505/588) Own research on Faculty of Economics and Sociology University of Łódź  (2007): ,,Elements of mathematics for students of economics and econometrics. theoretical basis’’, contractor .
  3. (505/0632) Own research on Faculty of Economics and Sociology University of Łódź: (2008), contractor: An effect of cyclical market for regime change.
  4. (545/162) Own research on Faculty of Economics and Sociology University of Łódź,  (2011), project manager:

Research Achievements

  • UK, Imperial College London,  Summer School and Workshop in Optimal Control,  September 5 - 9, 2011;
  • Denmark, Copenhagen University, PhD-Course on Ecosystem modeling,  June 8 - 15,  2005;
  •  Canada, Memorial University of Newfoundland in St. John’s, AARMS Summer School, July 12 Lipca - August 6,  2005;
  • Belgium, Catolic University of Leuven,  XVI International Symposium: Mathematical Theory of Networks and Systems, July 5 - 9,  2004;
  • Poland, Technical University Politechnika Wrocławska, Workshop of Computer modelling of complex systems,  April 2004;
  • Italy, Scuola Matematica Interuniversitaria, Courses in Numerical Analysis and Partial Differential Equations, July 27  -August 30, 2003;
  • Poland, Nicolaus Copernicus University, Partial Differential Equation Workshop on Faculty of Mathematics November 2002;
  • Danmark , Aarhus University, EU Erasmus scholarship on Faculty of Mathamtics, August 2001 –July2002


  • European Journal of Operational Research
  • Games and Economic Behavior
  • Journal of Public Economic Theory
  • Mathematica Applicanda
  • Mathematical Methods in the Applied Sciences
  • Mathematical Social Sciences 
  • Theory and Decision