Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed Spaces

Joint Authors

Kang, Dongseung
Koh, Heejeong

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-10-31

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We obtain the general solution of Euler-Lagrange-Rassias quartic functional equation of the following fax+by+fbx+ay+(1/2)ab(a-b)2f(x-y)=(a2-b2)2fx+fy+(1/2)ab(a+b)2f(x+y).

We also prove the Hyers-Ulam-Rassias stability in various quasinormed spaces when b=1.

American Psychological Association (APA)

Koh, Heejeong& Kang, Dongseung. 2013. Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-507201

Modern Language Association (MLA)

Koh, Heejeong& Kang, Dongseung. Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-507201

American Medical Association (AMA)

Koh, Heejeong& Kang, Dongseung. Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-507201

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-507201