In this work, we introduce a new type of generalized mixed-type quadratic-additive functional
equation and obtain its general solution. The main goal of this work is to investigate Ulam …

For the inner product space, we have Appolonius' identity. From this identity, Park and Th. M.
Rassias induced and investigated the quadratic functional equation of the Apollonius type …

LAPLACE TRANSFORM AND HYERS-ULAM STABILITY OF DIFFERENTIAL EQUATION FOR
LOGISTIC GROWTH IN A POPULATION MODEL -Communications of the Korean Mathematical …

In this paper, we give some properties of the bi-Jensen functional equation and investigate
its Hyers–Ulam stability and hyperstability. We construct a function which is bi-Jensen and is …

The main aim of this paper is to establish the generalized Hyers-Ulam stability of a bi-
quadratic mappings in non-Archimedean spaces. That is, we prove the generalized Hyers …

Анотація Постановка проблеми. Дослідження питання включення теми «Найпростіші
функціональні рівняння» в модельні навчальні програми вивчення предмету «Алгебра і …

A function f: V× V→ W is said to be a bi-Jensen function if J f (x, y, z, w)= 0 for all x, y, z, w∈
V. It is clear that J f (0, 0, 0, 0)= 0. It is easy to see that the function f: R× R→ R given by f (x …