On Stability of a Functional Equation Connected with the Reynolds Operator
- 457 Downloads
Let Open image in new window be an Abelain semigroup, Open image in new window , and let Open image in new window be either Open image in new window or Open image in new window . We prove superstability of the functional equation Open image in new window in the class of functions Open image in new window . We also show some stability results of the equation in the class of functions Open image in new window .
KeywordsFunctional Equation Stability Result Reynolds Operator
- 1.Hyers DH, Isac G, Rassias ThM: Stability of Functional Equations in Several Variables, Progress in Nonlinear Differential Equations and Their Applications. Volume 34. Birkhäuser Boston, Boston, Mass, USA; 1998:vi+313.Google Scholar
This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.