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STABILITY OF ZEROS OF POWER SERIES EQUATIONS
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 Title & Authors
STABILITY OF ZEROS OF POWER SERIES EQUATIONS
Wang, Zhihua; Dong, Xiuming; Rassias, Themistocles M.; Jung, Soon-Mo;
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 Abstract
We prove that if is large and is small enough, then every approximate zero of power series equation ${\sum}^{\infty}_{n
 Keywords
Hyers-Ulam stability;power series equation;polynomial equation;zero;
 Language
English
 Cited by
 References
1.
T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan 2 (1950), 64-66. crossref(new window)

2.
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.

3.
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.

4.
G. L. Forti, Hyers-Ulam stability of functional equations in several variables, Aequationes Math. 50 (1995), no. 1-2, 143-190. crossref(new window)

5.
P. Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl. 184 (1994), no. 3, 431-436. crossref(new window)

6.
D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. U.S.A. 27 (1941), 222-224. crossref(new window)

7.
D. H. Hyers, G. Isac, and Th. M. Rassias, Stability of Functional Equations in Several variables, Birkhauser, Basel, 1998.

8.
S.-M. Jung, Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis, Springer Optimization and Its Applications Vol. 48, Springer, New York, 2011.

9.
S.-M. Jung, Hyers-Ulam stability of zeros of polynomial, Appl. Math. Lett. 24 (2011), no. 8, 1322-1325. crossref(new window)

10.
Pl. Kannappan, Functional Equations and Inequalities with Applications, Springer, New York, 2009.

11.
Y. Li and L. Hua, Hyers-Ulam stability of a polynomial equation, Banach J. Math. Anal. 3 (2009), no. 2, 86-90. crossref(new window)

12.
Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), no. 2, 297-300. crossref(new window)

13.
Th. M. Rassias, On the stability of functional equations and a problem of Ulam, Acta Appl. Math. 62 (2000), no. 1, 23-130. crossref(new window)

14.
Th. M. Rassias, Functional Equations, Inequalities and Applications, Kluwer Academic, Dordrecht, 2003.

15.
E. Schechter, Handbook of Analysis and its Foundations, Academic Press, New York, 1997.

16.
S. M. Ulam, Problems in Modern Mathematics, Chapter VI, Science Editions, Wiley, New York, 1964.