On meromorphic solutions of a functional equation of Kuczma and Smajdor.
On meromorphic solutions of certain functional equations.
On meromorphic solutions of certain functional equations. (Short Communication).
On midpoint convex set-valued functions.
On Mikusiński-Pexider functional equation
On Mikusiński's functional equation
On monotonic solutions of some functional equations [Book]
On Nathanson's functional equation.
On nonstrict means.
On operator valued solutions of d'Alembert's functional equation, II
On operator-valued cosine sequences on UMD spaces
A two-sided sequence with values in a complex unital Banach algebra is a cosine sequence if it satisfies for any n,m ∈ ℤ with c₀ equal to the unity of the algebra. A cosine sequence is bounded if . A (bounded) group decomposition for a cosine sequence is a representation of c as for every n ∈ ℤ, where b is an invertible element of the algebra (satisfying , respectively). It is known that every bounded cosine sequence possesses a universally defined group decomposition, the so-called...
On operator-valued solutions of d'Alembert's functional equation, I
On Opial-type inequalities in two varaiables.
On orthogonally additive mappings.
On orthogonally additive mappings, IV.
On orthogonally additive mappings. (Short Communication).
On principal iteration semigroups in the case of multiplier zero
We collect and generalize various known definitions of principal iteration semigroups in the case of multiplier zero and establish connections among them. The common characteristic property of each definition is conjugating of an iteration semigroup to different normal forms. The conjugating functions are expressed by suitable formulas and satisfy either Böttcher’s or Schröder’s functional equation.
On Probability Distribution Solutions of a Functional Equation
Let 0 < β < α < 1 and let p ∈ (0,1). We consider the functional equation φ(x) = pφ (x-β)/(1-β) + (1-p)φ(minx/α, (x(α-β)+β(1-α))/α(1-β)) and its solutions in two classes of functions, namely ℐ = φ: ℝ → ℝ|φ is increasing, , , = φ: ℝ → ℝ|φ is continuous, , . We prove that the above equation has at most one solution in and that for some parameters α,β and p such a solution exists, and for some it does not. We also determine all solutions of the equation in ℐ and we show the exact connection...
On problems of B. Choczewski and M. Kuczma concerning an integral equation
On products of additive functions.