Department of Function Spaces and Differential Equations
The Department of Function Spaces and Differential Equations contains two research groups, addressing respectively: functional analysis, particularly the theory of function spaces; and the existence and structure of sets of solutions of certain differential, integral or differential-integral equations in various spaces, including problems of the existence of solutions in selected function spaces.
The department’s staff have carried out numerous research projects, sometimes in collaboration with scientists from foreign research centres. Training Polish and foreign young researchers is also an important part of the department’s activities.
Scope of research:
- topological and geometric properties of normed, quasi-normed and F-normed spaces and their applications,
- existence and structure of sets of solutions of certain differential, integral or differential-integral equations and inclusions,
- special classes of equations (fractional, dynamic) and their properties,
- applications of non-absolute integrals (Henstock–Kurzweil integrals, Henstock–Kurzweil–Pettis integrals).
The Department of Function Spaces and Differential Equations runs a departmental seminar, which is held on Tuesdays at 11:00. It is a continuation of the Interdisciplinary Seminar on Geometry of Banach Spaces and Theory of Function and Interpolation Spaces, which has been organized since 1998.
The department staff also take part in the faculty lectures co-organized with the Department of Functional Analysis, the Department of Mathematical Analysis and the Department of Operator Theory.