共查询到20条相似文献,搜索用时 31 毫秒
1.
Abbas Najati 《Journal of Mathematical Analysis and Applications》2008,337(1):399-415
In this paper we establish the general solution of the functional equation
f(2x+y)+f(2x−y)=f(x+y)+f(x−y)+2f(2x)−2f(x) 相似文献
2.
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
3.
In this paper, we solve a new functional equation
f(2x+y)+f(2x−y)=4f(x+y)+4f(x−y)+24f(x)−6f(y) 相似文献
4.
Abbas Najati 《Journal of Mathematical Analysis and Applications》2008,342(2):1318-1331
In this paper we establish the general solution and investigate the Hyers-Ulam-Rassias stability of the following functional equation
f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+2[f(2x)−2f(x)] 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.
Kil-Woung Jun 《Journal of Mathematical Analysis and Applications》2007,332(2):1335-1350
In this paper, we solve the generalized Hyers-Ulam-Rassias stability problem for Euler-Lagrange type cubic functional equations
f(ax+y)+f(x+ay)=(a+1)2(a−1)[f(x)+f(y)]+a(a+1)f(x+y) 相似文献
7.
In this note we investigate the generalized Hyers-Ulam-Rassias stability for the new cubic type functional equation f(x+y+2z)+f(x+y−2z)+f(2x)+f(2y)=2[f(x+y)+2f(x+z)+2f(x−z)+2f(y+z)+2f(y−z)] by using the fixed point alternative. The first systematic study of fixed point theorems in nonlinear analysis is due to G. Isac and Th.M. Rassias [Internat. J. Math. Math. Sci. 19 (1996) 219-228]. 相似文献
8.
Jae-Hyeong Bae 《Applied mathematics and computation》2010,216(1):87-307
For each n=1,2,3, we obtain the general solution and the stability of the functional equation
f(2x+y)+f(2x-y)=2n-2[f(x+y)+f(x-y)+6f(x)]. 相似文献
9.
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
10.
Vladislav V. Kravchenko Abdelhamid Meziani 《Journal of Mathematical Analysis and Applications》2011,377(1):420-427
We study the equation
−△u(x,y)+ν(x,y)u(x,y)=0 相似文献
11.
Gian-Luigi Forti Justyna Sikorska 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(2):343-350
We study the stability of the Drygas functional equation:
g(xy)+g(xy−1)=2g(x)+g(y)+g(y−1) 相似文献
12.
In this paper, we determine some stability results concerning the cubic functional equation
f(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x)