Stability of an Additive-Cubic-Quartic Functional Equation

被引：24

作者：

Eshaghi-Gordji, M. ^{[2
]}

Kaboli-Gharetapeh, S. ^{[3
]}

Park, Choonkil ^{[1
]}

Zolfaghari, Somayyeh ^{[2
]}

机构：

[1] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea

[2] Semnan Univ, Dept Math, Semnan, Iran

[3] Payame Nour Univ Mashhad, Dept Math, Mashhad, Iran

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2009年

关键词：

HYERS-ULAM STABILITY;

D O I：

10.1155/2009/395693

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the additive-cubic-quartic functional equation 11[f(x + 2y) + f (x - 2y)] = 44[f(x + y) + f(x - y )} + 12f(3y) - 48f(2y) + 60f(y) - 66f(x) and prove the generalized Hyers-Ulam stability of the additive-cubic-quartic functional equation in Banach spaces. Copyright (C) 2009 M. Eshaghi-Gordji et al.

引用

页数：20

共 15 条

[1]

Aczel J., 1989, ENCY MATH ITS APPL, V31

[2]

[Anonymous], MATH ITS APPL

[3]

[Anonymous], 1940, PROBLEMS MODERN MATH

[4]

Aoki T., 1950, J. Math. Soc. Japan, V2, P64

[5]

Cholewa P.W., 1984, Aequat. Math, V27, P76, DOI [10.1007/BF02192660, DOI 10.1007/BF02192660]

[6]

Gajda Z., 1991, Internat. J. Math. Math. Sci., V14, P431, DOI [10.1155/S016117129100056X, DOI 10.1155/S016117129100056X]

[7] A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF APPROXIMATELY ADDITIVE MAPPINGS [J].

GAVRUTA, P .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) :431-436

[8]

Grabiec A, 1996, PUBL MATH-DEBRECEN, V48, P217

[9]

Hyers D. H., 1998, PROGR NONLINEAR DIFF, V34

[10] On the stability of the linear functional equation [J].

Hyers, DH .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 :222-224

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