Solution and Stability of a General Mixed Type Cubic and Quartic Functional Equation

Solution and Stability of a General Mixed Type Cubic and Quartic Functional Equation

We consider the following mixed type cubic and quartic functional equation = where is a fixed integer. We establish the general solution of the functional equation when the integer , and then, by using the fixed point alternative, we investigate the generalized Hyers-Ulam-Rassias stability for th...

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Main Authors: Xiaopeng Zhao, Xiuzhong Yang, Chin-Tzong Pang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/673810
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spelling doaj-e3481a4706f344be83f180493e8475272020-11-24T22:23:46ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/673810673810Solution and Stability of a General Mixed Type Cubic and Quartic Functional EquationXiaopeng Zhao0Xiuzhong Yang1Chin-Tzong Pang2Department of Mathematics, Zhejiang University, Hangzhou 310027, ChinaCollege of Mathematics and Information Science, Hebei Normal University, and Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang 050024, ChinaDepartment of Information Management, Yuan Ze University, Chung-Li 32003, TaiwanWe consider the following mixed type cubic and quartic functional equation = where is a fixed integer. We establish the general solution of the functional equation when the integer , and then, by using the fixed point alternative, we investigate the generalized Hyers-Ulam-Rassias stability for this functional equation when the integer .http://dx.doi.org/10.1155/2013/673810
collection DOAJ
language English
format Article
sources DOAJ
author Xiaopeng Zhao
Xiuzhong Yang
Chin-Tzong Pang
spellingShingle Xiaopeng Zhao
Xiuzhong Yang
Chin-Tzong Pang
Solution and Stability of a General Mixed Type Cubic and Quartic Functional Equation
Journal of Function Spaces and Applications
author_facet Xiaopeng Zhao
Xiuzhong Yang
Chin-Tzong Pang
author_sort Xiaopeng Zhao
title Solution and Stability of a General Mixed Type Cubic and Quartic Functional Equation
title_short Solution and Stability of a General Mixed Type Cubic and Quartic Functional Equation
title_full Solution and Stability of a General Mixed Type Cubic and Quartic Functional Equation
title_fullStr Solution and Stability of a General Mixed Type Cubic and Quartic Functional Equation
title_full_unstemmed Solution and Stability of a General Mixed Type Cubic and Quartic Functional Equation
title_sort solution and stability of a general mixed type cubic and quartic functional equation
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
1758-4965
publishDate 2013-01-01
description We consider the following mixed type cubic and quartic functional equation = where is a fixed integer. We establish the general solution of the functional equation when the integer , and then, by using the fixed point alternative, we investigate the generalized Hyers-Ulam-Rassias stability for this functional equation when the integer .
url http://dx.doi.org/10.1155/2013/673810
work_keys_str_mv AT xiaopengzhao solutionandstabilityofageneralmixedtypecubicandquarticfunctionalequation
AT xiuzhongyang solutionandstabilityofageneralmixedtypecubicandquarticfunctionalequation
AT chintzongpang solutionandstabilityofageneralmixedtypecubicandquarticfunctionalequation
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