2006, Studia Mathematica 5
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Second Hukuhara derivative and cosine family of linear set-valued functions
(2006)Let $K$ be a closed convex cone with the nonempty interior in a real Banach space and let $cc(K)$ denote the family of all nonempty convex compact subsets of $K$. If $\{F_t : t ≥ 0\}$ is a regular cosine family of continuous ... -
Some properties of convex and *-concave multifunctions
(2006)We investigate some properties of *-concave and convex multifunctions on the real line with convex bounded closed values. In particularly we consider the Hadamard inequality and the Hardy-Littlewood-Pólya majorization ... -
Partial difference equations arising from the Cauchy-Riemann equations
(2006)We consider some functional equations arising from the Cauchy-Riemann equations, and certain related functional equations. First we propose a new functional equation (E.1) below, over a 2-divisible Abelian group, which is ... -
On continuous and residual spectra of operators connected with iterative functional equations
(2006)The sum type operator $F$, given by \[F[ϕ](x) := \sum_{ν=0}^∞ 2^{-ν}ϕ(2^νx),\] will be considered on the space $D$ of bounded real functions, equipped with the supremum norm and on its three proper closed subspaces. ... -
A theorem on divergence of Fourier series
(2006)The paper contains an extension of Calderon's work [2] on the optimality of the Dini test for Fourier series in a set of positive measure. -
Aggregations in classes of fuzzy relations
(2006)We consider aggregations of fuzzy relations using aggregation functions of n variables. After recalling fundamental properties of fuzzy relations we examine aggregation functions which preserve reflexivity, symmetry, ... -
International meetings organized by Polish schools on functional equations
(2006)This is an extended version of the talk given on the 10th International Conference on Functional Equations and Inequalities held in September, 2005, in the Mathematical Research and Conference Center of the Polish Academy ... -
Initial boundary value problem for a mechanical system with local stroke change of stiffness
(2006)The aim of this paper is to present a new method of solving the initial boundary value problem for a mechanical system with local stroke change of stiffness. The method is based on the theory of distributions. -
Annales Academiae Paedagogicae Cracoviensis. 33. Studia Mathematica 5
(Wydawnictwo Naukowe Akademii Pedagogicznej, Kraków, 2006)
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