Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: translation equation

Sortuj według:

Ogranicz wyniki do:

On the increasing solutions of the translation equation

100%

Brzdęk J.

Annales Polonici Mathematici

1996

tom 64

nr 3

207-214

Let M be a non-empty set endowed with a dense linear order without the smallest and greatest elements. Let (G,+) be a group which has a non-trivial uniquely divisible subgroup. There are given conditions under which every solution F: M×G → M of the translation equation is of the form $F(a,x) = f^{-1}(f(a) + c(x))$ for a ∈ M, x ∈ G with some non-trivial additive function c: G → ℝ and a strictly increasing function f: M → ℝ such that f(M) + c(G) ⊂ f(M). In particular, a problem of J. Tabor is solved.

On the Normal Stability of Functional Equations

51%

Moszner Z.

Annales Mathematicae Silesianae

2016

tom 30

nr 1

111-128

In the paper two types of stability and of b-stability of functional equations are distinguished.

Ograniczanie wyników

1 Annales Mathematicae Silesianae

1 Annales Polonici Mathematici

1 Brzdęk J.

1 Moszner Z.

1 2016

1 1996

Wyniki wyszukiwania

On the increasing solutions of the translation equation

On the Normal Stability of Functional Equations