Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation

被引：3

作者：

Janfada, M. ^{[1
]}

Shourvazi, R. ^{[1
]}

机构：

[1] Sabzevar Tarbiat Moallem Univ, Dept Math, Sabzevar, Iran

来源：

ABSTRACT AND APPLIED ANALYSIS | 2011年

关键词：

SPACES; VARIABLES; MAPPINGS;

D O I：

10.1155/2011/326951

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study general solutions and generalized Hyers-Ulam-Rassias stability of the following n-dimensional functional equation f (Sigma(k)(i=1) x(i)) + (k - 2) Sigma(k)(i=1) f(x(i)) = Sigma(k)(i=1) Sigma(k)(j=1,j>i) f (x(i) + x(j)), k >= 3, on non-Archimedean normed spaces.

引用

页数：19

共 34 条

[21] A fixed point approach to stability of a quadratic equation [J].

Mirzavaziri, M. ;

Moslehian, M. S. .

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2006, 37 (03) :361-376

[22] Asymptotic aspect of the quadratic functional equation in multi-normed spaces [J].

Moslehian, M. S. ;

Nikodem, K. ;

Popa, D. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 355 (02) :717-724

[23] STABILITY OF FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN SPACES [J].

Moslehian, Mohammad Sal ;

Rassias, Themistocles M. .

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2007, 1 (02) :325-334

[24] On the orthogonal stability of the pexiderized quadratic equation [J].

Moslehian, MS .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2005, 11 (11) :999-1004

[25] Generalized quadratic mappings in several variables [J].

Park, CG .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 57 (5-6) :713-722

[26] On the stability of the quadratic mapping in Banach modules [J].

Park, CG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 276 (01) :135-144

[27]

Parnami JC, 1992, AEQUATIONES MATH, V43, P211, DOI DOI 10.1007/BF01835703

[28]

Rassias T.M., 1998, Stud. Univ. Babes-Bolyai Math, V43, P89

[29] STABILITY OF LINEAR MAPPING IN BANACH-SPACES [J].

RASSIAS, TM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 72 (02) :297-280

[30] On the stability of functional equations and a problem of Ulam [J].

Rassias, TM .

ACTA APPLICANDAE MATHEMATICAE, 2000, 62 (01) :23-130

← 1 2 3 4 →