We present a solution of Ulam’s stability problem for the functional equation f(x * g(y)) = f(x)f(y) with vector-valued map f. Mathematics Subject Classification. 39B82, 39B52
We prove the Hyers–Ulam stability of the functional equation f(a1x1 + a2x2, b1y1 + b2y2) = C1f(x1, ...
Stability problems concerning the functional equations of the form f(2x + y) = 4f(x) + f(y) + f(x +...
ABSTRACT. In 1940 (and 1968) S. M. Ulam proposed the well-known Ulam stability problem. In 1941 D.H....
AbstractIt is the purpose of this paper to investigate the stability problem of Ulam for an approxim...
In this paper, we investigate the stability in the sense of Hyers-Ulam for aclass of the following t...
AbstractIn this paper the general method for proving stability of linear functional equations is des...
In 1968 S.M. Ulam proposed the general problem: When is it true taht by changing a little the hypoth...
In 1940, S. M. Ulam proposed at the University of Wisconsin the problem: "Give conditions in order f...
AbstractWe deal with approximate solutions of the following composite functional equation: T(T(x)−T(...
We present some applications of the Banach limit in the study of the stability of the linear functio...
AbstractIn 1940 S. M. Ulam proposed at the University of Wisconsin theproblem: “Give conditions in o...
This handbook consists of seventeen chapters written by eminent scientists from the international m...
We show how to get new results on Ulam stability of some functional equations using the Banach limit...
The presented work summarizes the relationships between stability results and separation theorems. W...
summary:Let $X, Y$ be complex vector spaces. Recently, Park and Th.M. Rassias showed that if a mappi...
We prove the Hyers–Ulam stability of the functional equation f(a1x1 + a2x2, b1y1 + b2y2) = C1f(x1, ...
Stability problems concerning the functional equations of the form f(2x + y) = 4f(x) + f(y) + f(x +...
ABSTRACT. In 1940 (and 1968) S. M. Ulam proposed the well-known Ulam stability problem. In 1941 D.H....
AbstractIt is the purpose of this paper to investigate the stability problem of Ulam for an approxim...
In this paper, we investigate the stability in the sense of Hyers-Ulam for aclass of the following t...
AbstractIn this paper the general method for proving stability of linear functional equations is des...
In 1968 S.M. Ulam proposed the general problem: When is it true taht by changing a little the hypoth...
In 1940, S. M. Ulam proposed at the University of Wisconsin the problem: "Give conditions in order f...
AbstractWe deal with approximate solutions of the following composite functional equation: T(T(x)−T(...
We present some applications of the Banach limit in the study of the stability of the linear functio...
AbstractIn 1940 S. M. Ulam proposed at the University of Wisconsin theproblem: “Give conditions in o...
This handbook consists of seventeen chapters written by eminent scientists from the international m...
We show how to get new results on Ulam stability of some functional equations using the Banach limit...
The presented work summarizes the relationships between stability results and separation theorems. W...
summary:Let $X, Y$ be complex vector spaces. Recently, Park and Th.M. Rassias showed that if a mappi...
We prove the Hyers–Ulam stability of the functional equation f(a1x1 + a2x2, b1y1 + b2y2) = C1f(x1, ...
Stability problems concerning the functional equations of the form f(2x + y) = 4f(x) + f(y) + f(x +...
ABSTRACT. In 1940 (and 1968) S. M. Ulam proposed the well-known Ulam stability problem. In 1941 D.H....