二次-三次函数方程在Non-Archimedean赋范空间的Ulam稳定性
The Ulam Stability of a Mix Cubic and Quadratic Functions in Non-archimedean Normed Spaces
摘要
讨论了混合二次-三次函数方程6f(x+y)-6f(x-y)+4f(3y)=3f(x+2y)-3f(x-2y)+9f(2y)
In this paper,we defined the Non-Archimedean normed spaces,and proved the Ulam stability of a functional equation deriving from cubic and quadratic functions.
出处
《甘肃高师学报》
2015年第2期4-6,9,共4页
Journal of Gansu Normal Colleges
基金
甘肃民族师范学院院长基金资助(12-20)
参考文献9
-
1Ulam S. M,Problem in Modern Mathematics[M]. chapter 6,ohn Wiey & Sons,New York,NY, USA, 1940.
-
2Hyers D. H. , On the stability of the linear fun- ctional equation [J].Proceedings of the American Math- ematical society, 1941,72 (2) : 222-224.
-
3Rassias Th. M.,On the stability of the linear mapping in Banach spaces [J]. Proceedings of the American Mathematical society, 1978,72(2): 297-300.
-
4Eskandani G Z, Gavruta P, Rassias J M, et al. Generalized Hyers-Ulam stability for a general mixed functional equation in quasi-13-normed spaces [J]. Mediterranean journal of mathematics, 2011, 8 (3): 331 -348.
-
5Najati A, Ranjbari A. Stability of homomorp- hisms for a 3D Cauchy - Jensen type functional equation on C?-ternary algebras [J]. Journal of Mathematical Analysis and Applications, 2008,341(1): 62-79.
-
6Popa D. Hyers - Ulam - Rassias stability of a linear recurrence [J]. Journal of mathematical analysis and applications, 2005, 309(2): 591-597.
-
7Skof F. Proprieta'locali e approssimazione di operatori [J]. Rendiconti del Seminario Matematico e Fisico di Milano, 1983,53( 1 ) : 113-129.
-
8K.W. Jan, H.M. Kim, The generalized Hyers - Ulam-Rassias stability of a cubic functional equation, J. Math. Anal. Appl. 274(2002)867-878.
-
9Chang I S,Jung Y S. Stability of a functional equation deriving from cubic and quadratic functions [J]. Journal of mathematical anal-ysis and applications, 2003,283 (2) : 491 -500.
-
1宋爱民.混合Cauchy-四次函数方程的Ulam稳定性[J].重庆师范大学学报（自然科学版）,2016,33(5):67-72. 被引量：1
-
2宋爱民.矩阵拟范空间上函数方程的Ulam稳定性[J].数学进展,2016,45(5):747-754. 被引量：1
-
3宋爱民.Drygas二次型函数方程的Ulam稳定性[J].西北师范大学学报（自然科学版）,2016,52(6):22-28.
-
4孙晨星,何志蓉,孔花.三次函数方程在模糊赋范空间上的稳定性[J].四川大学学报（自然科学版）,2012,49(4):761-764. 被引量：1
-
5綦伟青,纪培胜,卢海宁.二元三次函数方程的解及在模糊Banach空间上的稳定性[J].山东大学学报（理学版）,2015,50(2):60-66. 被引量：1
-
6宋爱民.Cauchy-Drygas型函数方程的Ulam稳定性[J].四川师范大学学报（自然科学版）,2016,39(6):851-856.
-
7王金华,向红军,赵育林.一类非线性分数阶差分方程边值问题解的存在性及Ulam稳定性[J].中山大学学报（自然科学版）,2016,55(2):1-6. 被引量：9
-
8纪培胜,魏然红,刘荣荣.Cauchy-三次函数方程及其Hyers—Ulam稳定性[J].数学学报（中文版）,2014,57(3):559-568. 被引量：1
-
9Abbas NAJATI,Choonkil PARK.On the Stability of a Cubic Functional Equation[J].Acta Mathematica Sinica,English Series,2008,24(12):1953-1964. 被引量：1
-
10常敏慧,吕纪荣,曹怀信.正交Euler-Lagrange型三次方程的Ulam稳定性[J].北华大学学报（自然科学版）,2010,11(4):301-306.
