Department of Function Spaces and Differential Equations
In the Department of Function Spaces and Differential Equations the research is conducted by two research groups addressing respective issues: functional analysis, particularly the theory of function spaces, and existence and structure of sets of solutions of some differential, integral or differential-integral equations in different spaces, including problems of the existence of solutions in chosen function spaces.
The scientific activities embraced numerous research projects carried out by the department staff and scientists from foreign research centres. Training Polish and foreign young researchers is also an important part of undertaken 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 some 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 Tuesday at 11:00. It is a continuation of 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.