On Approximate Euler Differential Equations

被引：12

作者：

Jung, Soon-Mo ^{[1
]}

Min, Seungwook ^{[2
]}

机构：

[1] Hongik Univ, Coll Sci & Technol, Math Sect, Jochiwon 339701, South Korea

[2] Sangmyung Univ, Div Comp Sci, Seoul 110743, South Korea

来源：

ABSTRACT AND APPLIED ANALYSIS | 2009年

关键词：

ULAM-RASSIAS STABILITY;

D O I：

10.1155/2009/537963

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We solve the inhomogeneous Euler differential equations of the form x(2)y ''(x) + axy'(x) + beta y(x) = Sigma(infinity)(m=0) a(m)x(m) and apply this result to the approximation of analytic functions of a special type by the solutions of Euler differential equations. Copyright (C) 2009 S.-M. Jung and S. Min.

引用

页数：8

共 22 条

[1] On some inequalities and stability results related to the exponential function [J].

Alsina, C ;

Ger, R .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 1998, 2 (04) :373-380

[2]

[Anonymous], HYERSULAMRASSIAS STA

[3]

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

[4]

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

[5]

Czerwik Stefan, 2002, Functional Equations and Inequalities in Several Variables, P4

[6]

Forti GL, 1995, Aequationes Math, V50, P143, DOI DOI 10.1007/BF01831117

[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]

Hyers D.H., 1992, Aequationes Math, V44, P125, DOI [DOI 10.1007/BF01830975, 10.1007/BF01830975]

[9] 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

[10] An approximation property of exponential functions [J].

Jung, S. -M. .

ACTA MATHEMATICA HUNGARICA, 2009, 124 (1-2) :155-163

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