FUNCTIONAL EQUATIONS IN SCHWARTZ DISTRIBUTIONS AND THEIR STABILITIES

被引：0

作者：

Chung, Jae-Young ^{[1
]}

机构：

[1] Kunsan Natl Univ, Dept Math, Kunsan 573701, South Korea

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2009年 / 3卷 / 01期

关键词：

d'Alembert equation; Pompeiu equation; logarithmic functional equation; distribution; Hyers-Ulam stability;

D O I：

10.2298/AADM0901014C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Employing two methods we consider a class of n-dimensional functional equations in the space of Schwartz distributions. As the first approach,employing regularizing functions we reduce the equations in distributions to classical ones of smooth functions and find the solutions. Secondly, using differentiation in distributions,converting the functional equations to differential equations and find the solutions. Also we consider the HYERS-ULAM stability of the equations.

引用

下载

页码：14 / 26

页数：13

共 50 条

[21] Asymptotic stabilities of stochastic functional differential equations
Shen Yi
Jiang Ming-hui
Liao Xiao-xin
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2006, 27 (11) : 1577 - 1584
[22] Stabilities of various multiplicative inverse functional equations
Kumar, B. V. Senthil
Rassias, J. M.
Sabarinathan, S.
TBILISI MATHEMATICAL JOURNAL, 2019, 12 (04) : 15 - 28
[23] Zeta Integrals, Schwartz Spaces and Local Functional Equations
Li, W. W.
ZETA INTEGRALS, SCHWARTZ SPACES AND LOCAL FUNCTIONAL EQUATIONS, 2018, 2228 : 1 - 139
[24] On a Stability of Logarithmic-Type Functional Equation in Schwartz Distributions
Chung, Jae-Young
ABSTRACT AND APPLIED ANALYSIS, 2012,
[25] Functional equations, DEs and distributions
Baker, JA
PUBLICATIONES MATHEMATICAE-DEBRECEN, 1996, 48 (1-2): : 103 - 115
[26] Quasi-processes and stabilities in functional differential equations
Hino, Y
Murakami, S
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (06) : 4025 - 4036
[27] ON THE QUASIASYMPTOTIC OF SCHWARTZ DISTRIBUTIONS
PILIPOVIC, S
MATHEMATISCHE NACHRICHTEN, 1988, 137 : 19 - 25
[28] Zeta Integrals, Schwartz Spaces and Local Functional Equations Introduction
Li, Wen-Wei
ZETA INTEGRALS, SCHWARTZ SPACES AND LOCAL FUNCTIONAL EQUATIONS, 2018, 2228 : 1 - 20
[29] Zeta Integrals, Schwartz Spaces and Local Functional Equations Preface
Li, Wen-Wei
ZETA INTEGRALS, SCHWARTZ SPACES AND LOCAL FUNCTIONAL EQUATIONS, 2018, 2228 : V - +
[30] Hyers-Ulam stability theorems for Pexider equations in the space of Schwartz distributions
Chung, JY
ARCHIV DER MATHEMATIK, 2005, 84 (06) : 527 - 537

← 1 2 3 4 5 →