On the Stability of Trigonometric Functional Equations in Distributions and Hyperfunctions-Reference-Cited by-同舟云学术

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On the Stability of Trigonometric Functional Equations in Distributions and Hyperfunctions

Published:2013 Issue: Volume:2013 Page:1-12
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Chung Jaeyoung¹,Chang Jeongwook²

Affiliation:

1. Department of Mathematics, Kunsan National University, Kunsan 573-701, Republic of Korea

2. Department of Mathematics Education, Dankook University, Yongin 448-701, Republic of Korea

Abstract

We consider the Hyers-Ulam stability for a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions and Gelfand hyperfunctions.

Funder

Ministry of Education Science and Technology

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/275915.pdf

Reference32 articles.

1. Interscience Tracts in Pure and Applied Mathematics, no. 8,1960

2. On the Stability of the Linear Functional Equation

3. On the Stability of the linear Transformation in Banach Spaces.

4. Multiplicative Transpormations

5. Approximately isometric and multiplicative transformations on continuous function rings

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Ulam Problem for the Cosine Addition Formula in Sato Hyperfunctions;Journal of Function Spaces;2015

2. Ulam Problem for the Sine Addition Formula in Hyperfunctions;Publications of the Research Institute for Mathematical Sciences;2014

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