Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed Spaces
We obtain the general solution of Euler-Lagrange-Rassias quartic functional equation of the following . We also prove the Hyers-Ulam-Rassias stability in various quasinormed spaces when .
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/908168 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563338302717952 |
|---|---|
| author | Heejeong Koh Dongseung Kang |
| author_facet | Heejeong Koh Dongseung Kang |
| author_sort | Heejeong Koh |
| collection | DOAJ |
| description | We obtain the general solution of Euler-Lagrange-Rassias quartic functional equation of the following . We also prove the Hyers-Ulam-Rassias stability in various quasinormed spaces when . |
| format | Article |
| id | doaj-art-0f852704a06b461c9a4ae1cc575fb3fe |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0f852704a06b461c9a4ae1cc575fb3fe2025-02-03T01:20:25ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/908168908168Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed SpacesHeejeong Koh0Dongseung Kang1Department of Mathematical Education, Dankook University, 126 Jukjeon, Suji, Yongin, Gyeonggi 448-701, Republic of KoreaDepartment of Mathematical Education, Dankook University, 126 Jukjeon, Suji, Yongin, Gyeonggi 448-701, Republic of KoreaWe obtain the general solution of Euler-Lagrange-Rassias quartic functional equation of the following . We also prove the Hyers-Ulam-Rassias stability in various quasinormed spaces when .http://dx.doi.org/10.1155/2013/908168 |
| spellingShingle | Heejeong Koh Dongseung Kang Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed Spaces Abstract and Applied Analysis |
| title | Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed Spaces |
| title_full | Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed Spaces |
| title_fullStr | Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed Spaces |
| title_full_unstemmed | Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed Spaces |
| title_short | Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed Spaces |
| title_sort | solution and stability of euler lagrange rassias quartic functional equations in various quasinormed spaces |
| url | http://dx.doi.org/10.1155/2013/908168 |
| work_keys_str_mv | AT heejeongkoh solutionandstabilityofeulerlagrangerassiasquarticfunctionalequationsinvariousquasinormedspaces AT dongseungkang solutionandstabilityofeulerlagrangerassiasquarticfunctionalequationsinvariousquasinormedspaces |