Generalized Hyers-Ulam-Rassias stability of a pentic functional equation
Thesis (M.Sc.)--Chulalongkorn University, 2008
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Chulalongkorn University
2012
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th-cuir.204322012-06-19T07:36:28Z Generalized Hyers-Ulam-Rassias stability of a pentic functional equation เสถียรภาพไฮเออร์-อูแลม-แรสเชียสนัยทั่วไปของสมการเชิงฟังก์ชันกำลังห้า Montakarn Petapirak Paisan Nakmahachalasint Chulalongkorn University. Faculty of Science Functional equations Thesis (M.Sc.)--Chulalongkorn University, 2008 During the last decades, the stability problems of several functional equations have been widely studied. In this thesis we first study the general solution and the generalized Hyers-Ulam-Rassias stability of the quartic functional equation ƒ(3x+y) + ƒ(x+3y) = 64 ƒ(x) + 64 ƒ(y) + 24 ƒ (x+y)-6 ƒ(x-y) and then extend the idea to investigate the general solution and the generalized Hyers-Ulam-Rassias stability of the pentic functional equation ƒ(x+5y) - 5ƒ(x+4y)+10ƒ(x+3y) - 10ƒ(x+2y) + 5ƒ(x+y) - ƒ(x) = 120ƒ(y) ในช่วงหลายทศวรรษที่ผ่านมา ได้มีการศึกษาปัญหาเสถียรภาพของสมการเชิงฟังก์ชันหลากหลายประเภทกันอย่างกว้างขวาง วิทยานิพนธ์นี้เราเริ่มด้วยการศึกษาผลเฉลยทั่วไปและเสถียรภาพไฮเออร์-อูแลม-แรสเชียสนัยทั่วไปของสมการเชิงฟังก์ชันกำลังสี่ ƒ(3x+y) + ƒ(x+3y) = 64 ƒ(x) + 64 ƒ(y) + 24 ƒ (x+y)-6 ƒ(x-y) แล้วขยายแนวคิดไปสู่การศึกษาผลเฉลยทั่วไปและเสถียรภาพไฮเออร์-อูแลม-แรสเชียสนัยทั่วไปของสมการเชิงฟังก์ชันกำลังห้า ƒ(x+5y) - 5ƒ(x+4y)+10ƒ(x+3y) - 10ƒ(x+2y) + 5ƒ(x+y) - ƒ(x) = 120ƒ(y) 2012-06-19T07:36:27Z 2012-06-19T07:36:27Z 2008 Thesis http://cuir.car.chula.ac.th/handle/123456789/20432 en Chulalongkorn University 2168162 bytes application/pdf application/pdf Chulalongkorn University |
| institution |
Chulalongkorn University |
| building |
Chulalongkorn University Library |
| country |
Thailand |
| collection |
Chulalongkorn University Intellectual Repository |
| language |
English |
| topic |
Functional equations |
| spellingShingle |
Functional equations Montakarn Petapirak Generalized Hyers-Ulam-Rassias stability of a pentic functional equation |
| description |
Thesis (M.Sc.)--Chulalongkorn University, 2008 |
| author2 |
Paisan Nakmahachalasint |
| author_facet |
Paisan Nakmahachalasint Montakarn Petapirak |
| format |
Theses and Dissertations |
| author |
Montakarn Petapirak |
| author_sort |
Montakarn Petapirak |
| title |
Generalized Hyers-Ulam-Rassias stability of a pentic functional equation |
| title_short |
Generalized Hyers-Ulam-Rassias stability of a pentic functional equation |
| title_full |
Generalized Hyers-Ulam-Rassias stability of a pentic functional equation |
| title_fullStr |
Generalized Hyers-Ulam-Rassias stability of a pentic functional equation |
| title_full_unstemmed |
Generalized Hyers-Ulam-Rassias stability of a pentic functional equation |
| title_sort |
generalized hyers-ulam-rassias stability of a pentic functional equation |
| publisher |
Chulalongkorn University |
| publishDate |
2012 |
| url |
http://cuir.car.chula.ac.th/handle/123456789/20432 |
| _version_ |
1681413526938189824 |