WEIGHTED SPACE METHOD FOR THE STABILITY OF SOME NONLINEAR EQUATIONS

被引：40

作者：

Cadariu, Liviu ^{[1
]}

Gavruta, Laura ^{[1
]}

Gavruta, Pasc ^{[1
]}

机构：

[1] Politehn Univ Timisoara, Dept Math, Timisoara 300006, Romania

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2012年 / 6卷 / 01期

关键词：

Generalized Hyers-Ulam-Rassias stability; Nonlinear functional equations; Volterra integral equation; Weighted space method; ULAM-RASSIAS STABILITY; APPROXIMATELY ADDITIVE MAPPINGS; FUNCTIONAL-EQUATIONS; HYERS;

D O I：

10.2298/AADM120309007C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the stability of some equations of a single variable, including a non-linear functional equation, a linear functional equation as well as a Volterra integral equation, by using the weighted space method. Our results generalize and extend some recent theorems given in this field, with simplified proofs. Several direct applications of these results are also obtained.

引用

页码：126 / 139

页数：14

共 39 条

[1] Stability of functional equations in single variable [J].

Agarwal, RP ;

Xu, B ;

Zhang, WN .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 288 (02) :852-869

[2]

Akkouchi M., 2011, Acta Universitatis Apulensis, V26, P257

[3]

[Anonymous], 1964, PROBLEMS MODERN MATH

[4]

[Anonymous], 2008, B STIINT U POLITEH T

[5]

[Anonymous], 1995, ANN MATH BLAISE PASC

[6]

[Anonymous], 1990, ENCY MATH APPL

[7]

[Anonymous], 1998, Stability of Functional Equations in Several Variables

[8]

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

[9] THE STABILITY OF CERTAIN FUNCTIONAL-EQUATIONS [J].

BAKER, JA .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 112 (03) :729-732

[10] CLASSES OF TRANSFORMATIONS AND BORDERING TRANSFORMATIONS [J].

BOURGIN, DG .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 57 (04) :223-237

← 1 2 3 4 →