References
- T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan 2 (1950), 64-66. https://doi.org/10.2969/jmsj/00210064
- M. Bidkham, H. A. Soleiman Mezerji, and M. Eshaghi Gordji, Hyers-Ulam stability of polynomial equations, Abstr. Appl. Anal. 2010 (2010), Article ID 754120, 7 pages.
- M. Bidkham, H. A. Soleiman Mezerji, and M. Eshaghi Gordji, Hyers-Ulam stability of power series equations, Abstr. Appl. Anal. 2011 (2011), Article ID 194948, 6 pages.
- G. L. Forti, Hyers-Ulam stability of functional equations in several variables, Aequationes Math. 50 (1995), no. 1-2, 143-190. https://doi.org/10.1007/BF01831117
- P. Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl. 184 (1994), no. 3, 431-436. https://doi.org/10.1006/jmaa.1994.1211
- D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. U.S.A. 27 (1941), 222-224. https://doi.org/10.1073/pnas.27.4.222
- D. H. Hyers, G. Isac, and Th. M. Rassias, Stability of Functional Equations in Several variables, Birkhauser, Basel, 1998.
- S.-M. Jung, Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis, Springer Optimization and Its Applications Vol. 48, Springer, New York, 2011.
- S.-M. Jung, Hyers-Ulam stability of zeros of polynomial, Appl. Math. Lett. 24 (2011), no. 8, 1322-1325. https://doi.org/10.1016/j.aml.2011.03.002
- Pl. Kannappan, Functional Equations and Inequalities with Applications, Springer, New York, 2009.
- Y. Li and L. Hua, Hyers-Ulam stability of a polynomial equation, Banach J. Math. Anal. 3 (2009), no. 2, 86-90. https://doi.org/10.15352/bjma/1261086712
- Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), no. 2, 297-300. https://doi.org/10.1090/S0002-9939-1978-0507327-1
- Th. M. Rassias, On the stability of functional equations and a problem of Ulam, Acta Appl. Math. 62 (2000), no. 1, 23-130. https://doi.org/10.1023/A:1006499223572
- Th. M. Rassias, Functional Equations, Inequalities and Applications, Kluwer Academic, Dordrecht, 2003.
- E. Schechter, Handbook of Analysis and its Foundations, Academic Press, New York, 1997.
- S. M. Ulam, Problems in Modern Mathematics, Chapter VI, Science Editions, Wiley, New York, 1964.