HYERS-ULAM STABILITY OF THE QUADRATIC FUNCTIONAL EQUATION

被引：0

作者：

Elqorachi, E. ^{[1
]}

Manar, Y. ^{[1
]}

Rassias, Th. M. ^{[2
]}

机构：

[1] Univ Ibn Zohr, Fac Sci, Dept Math, Agadir, Morocco

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2010年 / 1卷 / 02期

关键词：

Hyers-Ulam-Rassias stability; quadratic functional equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper a solution of the generalized quadratic functional equation f(kx+y)+f(kx+sigma(y))=2k(2)f(x)+2f(y), x,y is an element of E Eis given where sigma is an involution of the normed space E and k is a fixed positive integer. Furthermore we investigate the Hyers- Ulam- Rassias stability of the functional equation. The Hyers- Ulam stability on unbounded domains is also studied. Applications of the results for the asymptotic behavior of the generalized quadratic functional equation are provided.

引用

页码：26 / 35

页数：10

共 28 条

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