共查询到20条相似文献,搜索用时 46 毫秒
1.
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
2.
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
3.
Justyna Jarczyk 《Journal of Mathematical Analysis and Applications》2009,353(1):134-96
Let I⊂R be a non-trivial interval and let . We present some results concerning the following functional equation, generalizing the Matkowski-Sutô equation,
λ(x,y)φ−1(μ(x,y)φ(x)+(1−μ(x,y))φ(y))+(1−λ(x,y))ψ−1(ν(x,y)ψ(x)+(1−ν(x,y))ψ(y))=λ(x,y)x+(1−λ(x,y))y, 相似文献
4.
W?odzimierz Fechner 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(17):5999-6003
We deal with the following “exotic” addition:
x⊕y:=xf(y)+yf(x) 相似文献
5.
Justyna Sikorska 《Journal of Mathematical Analysis and Applications》2005,311(1):209-217
We study the stability problem for mappings satisfying the equation
‖f(x−y)‖=‖f(x)−f(y)‖. 相似文献
6.
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
7.
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
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.
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
10.
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
11.
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
12.
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
13.
By means of Mawhin's continuation theorem, we study some second order differential equations with a deviating argument:
x″(t)=f(t,x(t),x(t−τ(t)),x′(t))+e(t). 相似文献
14.
Ali Fuat Yeniçerio?lu 《Journal of Mathematical Analysis and Applications》2007,332(2):1278-1290
In this paper, we study the behavior of solutions of second order delay differential equation
y″(t)=p1y′(t)+p2y′(t−τ)+q1y(t)+q2y(t−τ), 相似文献
15.
This paper is concerned with a functional differential equation of the form
x′(z)=1/x(az+bx′(z)) 相似文献
16.
Ehliman AdigüzelovYonca Sezer 《Applied mathematics and computation》2011,218(5):2113-2121
Let L0 and L be operators which are formed by the differential expressions.
?0(y)=(-1)my(2m)(x)+Ay(x) 相似文献
17.
Young Whan Lee Byung Mun Choi 《Journal of Mathematical Analysis and Applications》2004,299(2):305-313
We obtain the super stability of Cauchy's gamma-beta functional equation
B(x,y)f(x+y)=f(x)f(y), 相似文献
18.
Shiping Lu 《Journal of Mathematical Analysis and Applications》2007,336(2):1107-1123
By means of Mawhin's continuation theorem, a kind of p-Laplacian differential equation with a deviating argument as follows:
(φp(x′(t)))′=f(t,x(t),x(t−τ(t)),x′(t))+e(t) 相似文献
19.
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
20.
H.L. Krall and I.M. Sheffer considered the problem of classifying certain second-order partial differential equations having an algebraically complete, weak orthogonal bivariate polynomial system of solutions. Two of the equations that they considered are
(x2+y)uxx+2xyuxy+y2uyy+gxux+g(y−1)uy=λu, 相似文献