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Displaying 61 – 80 of 81

The stability of the equation $f (x y) - f (x) - f (y) = 0$ on groups.

Faĭziev, V. (2000)

Acta Mathematica Universitatis Comenianae. New Series

The structure of disjoint iteration groups on the circle

Krzysztof Ciepliński (2004)

Czechoslovak Mathematical Journal

The aim of the paper is to investigate the structure of disjoint iteration groups on the unit circle $𝕊^{1}$ , that is, families $ℱ = {F^{v} 𝕊^{1} ⟶ 𝕊^{1} v \in V}$ of homeomorphisms such that $F^{v_{1}} \circ F^{v_{2}} = F^{v_{1} + v_{2}}, v_{1}, v_{2} \in V,$ and each $F^{v}$ either is the identity mapping or has no fixed point ( $(V, +)$ is an arbitrary $2$ -divisible nontrivial (i.e., $c a r d V > 1$ ) abelian group).

The structure of iteration groups of continuous functions.

Marek Cezary Zdun (1993)

Aequationes mathematicae

The structure of iteration groups of continuous functions. (Summary).

Marek Cezary Zdun (1992)

Aequationes mathematicae

The superstability of the generalized d'Alembert functional equation.

Elqorachi, Elhoucien, Akkouchi, Mohamed (2003)

Georgian Mathematical Journal

The translation equation and algebraic objects

Józef Tabor (1973)

Annales Polonici Mathematici

The translation equation on a direct product of groups

S. Midura, J. Tabor (1978)

Annales Polonici Mathematici

The translation equation on certain n-groups.

Andrzej Mach (1994)

Aequationes mathematicae

The Ulam stability problem in approximation of approximately quadratic mappings by quadratic mappings.

Rassias, John Michael (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

The Uniqueness of Solutions of a System of Functional Equations in Some Classes of Functions.

J. Matkowski (1972)

Aequationes mathematicae

Theorems of Thron's type for random-valued vector functions and the Krein-Rutman theorem

Rafał Kapica (2005)

Annales Polonici Mathematici

We propose stochastic versions of some theorems of W. J. Thron [14] on the speed of convergence of iterates for random-valued functions on cones in Banach spaces.

Third note on the general solution of a functional equation

M. Kuczma (1965)

Annales Polonici Mathematici

Time scale transformation equation.

J. Tabor (1978)

Aequationes mathematicae

Transformations $z (t) = L (t) y (ϕ (t))$ of ordinary differential equations

Václav Tryhuk (2000)

Czechoslovak Mathematical Journal

The paper describes the general form of an ordinary differential equation of an order $n + 1$ $(n \geq 1)$ which allows a nontrivial global transformation consisting of the...