The staff of the Department conduct research in selected problems of two domains: convex and nonlinear analysis. In particular, algebraic, analytic, geometrical and topological properties of pairs of closed convex sets are investigated, among others:
are recurrent topics.
Another direction of research is nonlinear analysis. Among the topics discussed are:
From August 25 to August 30 2014, prof. Dariusz Bugajewski, dr. Daria Bugajewska and dr. Piotr Kasprzak participated in the Między teorią a zastosowaniami – matematyka w działaniu conference, Będlewo, Poland.
Prof. Dariusz Bugajewski delivered a talk entitled Functions of bounded variation and their applications.
Dr. Daria Bugajewska delivered a talk entitled On some generalizations of variation in the sense of Jordan.
Dr. Piotr Kasprzak delivered a talk entitled Some physical applications of functions of bounded variation.
From July 23 to July 26, 2014, Dariusz Bugajewski participated at the 29th Summer Conference on Topology and its Appliations, College of Staten Island, City University of New York, USA. He delivered a talk entitled On formal power series and formal Laurent series.
From July 27 to July 31, 2014, Dariusz Bugajewski visited Morgan State University, Baltimore, USA, where he did research and delivered a lecture Nonlinear operators in the spaces of functions of bounded variation in the sense of Jordan.
Dr Daria Bugajewska delivered a lecture entitled On lower bounded -variation and its applications.
Mgr Adam Nawrocki delivered a lecture entitled On some classes of generalized almost periodic functions.