|
[1]
|
Ulam, S.M. (1960) A Collection of Mathematical Problems. Interscience, New York.
|
|
[2]
|
Hyers, D.H. (1941) On the Stability of the Linear Functional Equation. Proceedings of the National Academy of Sciences of the United States of America, 27, 222-224. http://dx.doi.org/10.1073/pnas.27.4.222 [Google Scholar] [CrossRef] [PubMed]
|
|
[3]
|
Kominek, Z. (1989) On a Local Stability of the Jensen Functional Equation. De-monstratio Mathematica, 22, 499-507.
|
|
[4]
|
Jung, S.M. (1998) Hyers-Ulam-Rassias Stability of Jensen’s Equation and Its Applica-tion. Proceedings of the American Mathematical Society, 126, 3137-3143. http://dx.doi.org/10.1090/S0002-9939-98-04680-2 [Google Scholar] [CrossRef]
|
|
[5]
|
Rassias, J.M. (2002) On the Ulam Stability of Mixed Type Mappings on Restricted Domains. Journal of Mathematical Analysis and Applications, 276, 747-762. http://dx.doi.org/10.1016/S0022-247X(02)00439-0 [Google Scholar] [CrossRef]
|
|
[6]
|
Hyers, D.H., Isac, G. and Rassias, Th.M. (1998) On the Asymptoticity Aspect of Hyers-Ulam Stability of Mappings. Proceedings of the American Mathematical Society, 126, 425-430.
http://dx.doi.org/10.1090/S0002-9939-98-04060-X [Google Scholar] [CrossRef]
|
|
[7]
|
Wolna, D. (2006) The Stability of Monomial Functions on a Restricted Domain. Aequationes Mathematicae, 72, 100- 109. http://dx.doi.org/10.1007/s00010-006-2832-z [Google Scholar] [CrossRef]
|
|
[8]
|
Rassias, J.M. and Rassias, M.J. (2003) On the Ulam Stability of Jensen and Jensen Type Mappings on Restricted Domains. Journal of Mathematical Analysis and Applications, 281, 516-524.
http://dx.doi.org/10.1016/S0022-247X(03)00136-7 [Google Scholar] [CrossRef]
|
|
[9]
|
Chung, J.Y., Kim, D. and Rassias, J.M. (2012) Stability of Jensen Type Functional Equations on Restricted Domains in a Group and Their Asymptotic Behaviors. Journal of Applied Mathematics, 2012, 1-12.
http://dx.doi.org/10.1155/2012/691981 [Google Scholar] [CrossRef]
|
|
[10]
|
Lee, Y.-H. (2013) Hyers-Ulam-Rassias Stability of a Quadratic Additive Type Functional Equation on a Restricted Domain. International Journal of Mathematical Analysis, 7, 2745-2752. http://dx.doi.org/10.12988/ijma.2013.39224 [Google Scholar] [CrossRef]
|
|
[11]
|
Parka, W.-G. and Baeb, J.-H. (2005) On a Bi-Quadratic Functional Equation and Its Stability. Nonlinear Analysis, 62,643-654. http://dx.doi.org/10.1016/j.na.2005.03.075 [Google Scholar] [CrossRef]
|
|
[12]
|
Ji, P.S., Qi, W.Q. and Zhan, X.J. (2014) Generalized Stability of Multi-Quadratic Mappings. Journal of Mathematics Research with Applications, 34, 209-215.
|