ON THE STABILITY OF THE QUADRATIC MAPPING IN NORMED SPACES

被引：501

作者：

CZERWIK, S ^{[1
]}

机构：

[1] SILESIA TECH UNIV,INST MATH,PL-44100 GLIWICE,POLAND

来源：

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 1992年 / 62卷

关键词：

AMS (1980) subject classification: Primary 39C05; the stability of functional equations;

D O I：

10.1007/BF02941618

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of the stability of the quadratic functional equation (including ULAM-HYERS and RASSIAS types of stability) in normed spaces is investigated.

引用

页码：59 / 64

页数：6

共 7 条

[1]

Cholewa PW, 1984, AEQUATIONES MATH, V27, P76, DOI DOI 10.1007/BF02192660

[2]

GAJDA Z, IN PRESS STABILITY L

[3] 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

[4] APPROXIMATELY CONVEX FUNCTIONS [J].

HYERS, DH ;

ULAM, SM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 3 (05) :821-828

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

RASSIAS, TM .

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

[6]

Ulam SM., 1964, PROBLEMS MODERN MATH

[7]

[No title captured]

← 1 →