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ON STABILITY OF THE FUNCTIONAL EQUATIONS HAVING RELATION WITH A MULTIPLICATIVE DERIVATION
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 Title & Authors
ON STABILITY OF THE FUNCTIONAL EQUATIONS HAVING RELATION WITH A MULTIPLICATIVE DERIVATION
Lee, Eun-Hwi; Chang, Ick-Soon; Jung, Yong-Soo;
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 Abstract
In this paper we study the Hyers-Ulam-Rassias stability of the functional equations related to a multiplicative derivation.
 Keywords
Hyers-Ulam-Rassias stability;multiplicative (Jordan) derivation;
 Language
English
 Cited by
1.
APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C*-TERNARY ALGEBRAS,;;

대한수학회보, 2010. vol.47. 1, pp.195-209 crossref(new window)
1.
Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras, Discrete Dynamics in Nature and Society, 2012, 2012, 1  crossref(new windwow)
2.
APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C*-TERNARY ALGEBRAS, Bulletin of the Korean Mathematical Society, 2010, 47, 1, 195  crossref(new windwow)
3.
CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A COMPLEX SPACE FORM, Bulletin of the Korean Mathematical Society, 2010, 47, 1, 1  crossref(new windwow)
 References
1.
R. Badora, Report of Meeting: The Thirty-fourth International Symposium on Functional Equations, June 10 to 19, 1996, Wista-Jawornik, Poland, Aequationes Math. 53 (1997), no. 1-2, 162-205 crossref(new window)

2.
C. Borelli, On Hyers-Ulam stability for a class of functional equations, Aequationes Math. 54 (1997), no. 1-2, 74-86 crossref(new window)

3.
I.-S. Chang and Y.-S. Jung, Stability of a functional equation deriving from cubic and quadratic functions, J. Math. Anal. Appl. 283 (2003), no. 2, 491-500 crossref(new window)

4.
I.-S. Chang, E.-H. Lee, and H.-M. Kim, On Hyers-Ulam-Rassias stability of a quadratic functional equation, Math. Inequal. Appl. 6 (2003), no. 1, 87-95

5.
S. Czerwik, On the stability of the quadratic mapping in normed spaces, Abh. Math. Sem. Univ. Hamburg 62 (1992), 59-64 crossref(new window)

6.
Z. Gajda, On stability of additive mappings, Internat. J. Math. Math. Sci. 14 (1991), no. 3, 431-434 crossref(new window)

7.
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)

8.
D. H. Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. U. S. A. 27 (1941). 222-224

9.
D. H. Hyers, G. Isac, and Th. M. Rassias, Stability of Functional equation in Several Variables, Progress in Nonlinear Differential Equations and their Applications, 34. Birkhauser Boston, Inc., Boston, MA, 1998

10.
D. H. Hyers, G. Isac, and Th. M. Rassias, On the asymptoticity aspect of Hyers-Ulam stability of mappings, Proc. Amer. Math. Soc. 126 (1998), no. 2, 425-430 crossref(new window)

11.
D. H. Hyers and Th. M. Rassias, Approximate homomorphisms, Aequationes Math. 44 (1992), no. 2-3, 125-153 crossref(new window)

12.
K.-W. Jun and Y.-H. Lee, On the Hyers-Ulam-Rassias stability of a pexiderized quadratic inequality, Math. Inequal. Appl. 4 (2001), no. 1, 93-118

13.
S.-M. Jung, On the Hyers-Ulam stability of the functional equations that have the quadratic property, J. Math. Anal. Appl. 222 (1998), no. 1, 126-137 crossref(new window)

14.
Y.-S. Jung and K.-H. Park, On the stability of the functional equation f(x + y + xy) =f(x) + f(y) + xf(y) + yf(x), J. Math. Anal. Appl. 274 (2002), no. 2, 659-666 crossref(new window)

15.
H.-M. Kim and I.-S. Chang, Stability of the functional equations related to a multiplicative derivation, J. Appl. &. Computing (series A) 11 (2003), 413-421

16.
Zs. Pales, Remark 27, In 'Report on the 34th ISFE, Aequationes Math' 53 (1997), 200-201

17.
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)

18.
Th. M. Rassias, On the stability of functional equations in Banach spaces, J. Math. Anal. Appl. 251 (2000), no. 1, 264-284 crossref(new window)

19.
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)

20.
Th. M. Rassias, Functional equations and Inequalities, Mathematics and its Applications, 518. Kluwer Academic Publishers, Dordrecht, 2000

21.
Th. M. Rassias and P. .Semrl, On the behavior of mappings which do not satisfy HyersUlam stability, Proc. Amer. Math. Soc. 114 (1992), no. 4, 989-993 crossref(new window)

22.
Th. M. Rassias and J. Tabor, Stability of mapping of Hyers-Ulam Type, Hadronic Press Collection of Original Articles. Hadronic Press, Inc., Palm Harbor, FL, 1994

23.
Th. M. Rassias and J. Tabor, What is left of Hyers-Ulam stability?, J. Natur. Geom. 1 (1992), no. 2, 65-69

24.
P. .Semrl, The functional equation of multiplicative derivation is superstable on standard operator algebras, Integral Equations Operator Theory 18 (1994), no. 1, 118-122 crossref(new window)

25.
J. Tabor, Remark 20, In `Report on the 34th ISFE, Aequationes Math. 53 (1997), 194-196

26.
S. M. Ulam, Problems in Modern Mathematics, Science Editions John Wiley & Sons, Inc., New York 1964