Asymptotic Behavior of Mixed Type Functional Equations
J. M. Rassias
Pedagogical Department, E.E., National and
Capodistrian University of Athens, Section of Mathematics And Informatics, 4, Agamemnonos
Str., Aghia Paraskevi, Athens 15342,Greece
In 1983 Skof  was the first author to solve the Ulam problem for additive mappings on a restricted domain. In 1998 Jung  investigated the Hyers-Ulam stability of additive and quadratic mappings on restricted domains. In this paper we improve the bounds and thus the results obtained by Jung , in 1998 and by the author , in 2002. Besides we establish new theorems about the Ulam stability of mixed type functional equations on restricted domains. Finally, we apply our recent results to the asymptotic behavior of functional equations of different types.
Full Text PDF: