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

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页码：14 / 26

页数：13

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