Report of Meeting. The Eighteenth Debrecen–Katowice Winter Seminar on Functional Equations and Inequalities Hajdúszoboszló (Hungary), January 31–February 3, 2018
Journal Title: Annales Mathematicae Silesianae - Year 2018, Vol 32, Issue
Abstract
Report of Meeting. The Eighteenth Debrecen–Katowice Winter Seminar on Functional Equations and Inequalities Hajdúszoboszló (Hungary), January 31–February 3, 2018.
Invariant means on Banach spaces
In this paper we study some generalization of invariant means on Banach spaces. We give some sufficient condition for the existence of the invariant mean and some examples where we have not it.
Characterizations of rotundity and smoothness by approximate orthogonalities
In this paper we consider the approximate orthogonalities in real normed spaces. Using the notion of approximate orthogonalities in real normed spaces, we provide some new characterizations of rotundity and smoothness of...
Mathematical challenges in the theory of chemotaxis
We consider the simplest parabolic-elliptic model of chemotaxisin the whole space and in several space dimensions. Criteria either for theexistence of radial global-in-time solutions or their blowup in terms of suitable...
The behaviour of weak solutions of boundary value problems for linear elliptic second order equations in unbounded cone-like domains
We investigate the behaviour of weak solutions of boundary value problems (Dirichlet, Neumann, Robin and mixed) for linear elliptic divergence second order equations in domains extending to infinity along a cone. We find...
A note on the square subgroups of decomposable torsion-free abelian groups of rank three
A hypothesis stated in [16] is confirmed for the case of associative rings. The answers to some questions posed in the mentioned paper are also given. The square subgroup of a completely decomposable torsion-free abelian...