共查询到20条相似文献,搜索用时 28 毫秒
1.
Abbas Najati 《Journal of Mathematical Analysis and Applications》2008,340(1):569-574
In this paper, we prove the generalized Hyers-Ulam stability for the following quartic functional equation
f(2x+y)+f(2x−y)=4f(x+y)+4f(x−y)+24f(x)−6f(y). 相似文献
2.
On solutions of a common generalization of the Go?a?b-Schinzel equation and of the addition formulae
Anna Mureńko 《Journal of Mathematical Analysis and Applications》2008,341(2):1236-1240
Under some additional assumptions we determine solutions of the equation
f(x+M(f(x))y)=f(x)○f(y), 相似文献
3.
Gwang Hui Kim 《Journal of Mathematical Analysis and Applications》2007,325(1):237-248
The aim of this paper is to study the stability problem of the d'Alembert type and Jensen type functional equations:
f(x+y)+f(x+σy)=2g(x)f(y), 相似文献
4.
Jae-Hyeong Bae 《Journal of Mathematical Analysis and Applications》2007,326(2):1142-1148
In this paper, we obtain the general solution and the stability of the 2-variable quadratic functional equation
f(x+y,z+w)+f(x−y,z−w)=2f(x,z)+2f(y,w). 相似文献
5.
Young-Su Lee Soon-Yeong Chung 《Journal of Mathematical Analysis and Applications》2007,336(1):101-110
In this paper, we consider the general solution of quadratic functional equation
f(ax+y)+f(ax−y)=f(x+y)+f(x−y)+2(a2−1)f(x) 相似文献
6.
In the previous researches [2,3] b-integer and b-decimal parts of real numbers were introduced and studied by M.H. Hooshmand. The b-parts real functions have many interesting number theoretic explanations, analytic and algebraic properties, and satisfy the functional equation f (f(x) + y - f(y)) = f(x). These functions have led him to a more general topic in semigroups and groups (even in an arbitrary set with a binary operation [4] and the following functional equations have been introduced: Associative equations:
f(xf(yz))=f(f(xy)z),f(xf(yz))=f(f(xy)z)=f(xyz)