共查询到20条相似文献,搜索用时 31 毫秒
1.
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
2.
Lazhar Bougoffa 《Applied mathematics and computation》2010,216(2):689-8913
The Abel equation of the second kind
[g0(x)+g1(x)u]u′=f0(x)+f1(x)u+f2(x)u2 相似文献
3.
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
4.
G.A. Afrouzi 《Journal of Mathematical Analysis and Applications》2005,303(1):342-349
In this paper we shall study the following variant of the logistic equation with diffusion:
−du″(x)=g(x)u(x)−u2(x) 相似文献
5.
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
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.
N. P. Trotsenko 《Computational Mathematics and Mathematical Physics》2017,57(6):967-977
For the equation χ″(x) = u(x)χ(x) with infinitely smooth u(x), the general solution χ(x) is found in the form of a power series. The coefficients of the series are expressed via all derivatives u (m)(y) of the function u(x) at a fixed point y. Examples of solutions for particular functions u(x) are considered. 相似文献
8.
In this paper, we study the existence of periodic solutions of the Rayleigh equations
x″+f(x′)+g(x)=e(t). 相似文献
9.
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
10.
Ronald Begg 《Journal of Mathematical Analysis and Applications》2006,322(2):1168-1187
A class of nonlocal second-order ordinary differential equations of the form
y″(x)=f(x,y(x),(y○λ)(x),y′(x)) 相似文献
11.
We consider the quasilinear Schrödinger equations of the form ?ε2Δu + V(x)u ? ε2Δ(u2)u = g(u), x∈ RN, where ε > 0 is a small parameter, the nonlinearity g(u) ∈ C1(R) is an odd function with subcritical growth and V(x) is a positive Hölder continuous function which is bounded from below, away from zero, and infΛV(x) < inf?ΛV(x) for some open bounded subset Λ of RN. We prove that there is an ε0 > 0 such that for all ε ∈ (0, ε0], the above mentioned problem possesses a sign-changing solution uε which exhibits concentration profile around the local minimum point of V(x) as ε → 0+. 相似文献
12.
Ricardo Enguiça 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(9):2968-2979
We start by studying the existence of positive solutions for the differential equation
u″=a(x)u−g(u), 相似文献
13.
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
14.
Vladimir Umanskiy 《Advances in Mathematics》2003,180(1):176-186
Given p≠0 and a positive continuous function g, with g(x+T)=g(x), for some 0<T<1 and all real x, it is shown that for suitable choice of a constant C>0 the functional has a minimizer in the class of positive functions u∈C1(R) for which u(x+T)=u(x) for all x∈R. This minimizer is used to prove the existence of a positive periodic solution y∈C2(R) of two-dimensional Lp-Minkowski problem y1−p(x)(y″(x)+y(x))=g(x), where p∉{0,2}. 相似文献
15.
Amin Esfahani 《Journal of Differential Equations》2009,247(12):3181-323
In this paper we study the generalized BO-ZK equation in two space dimensions
ut+upux+αHuxx+εuxyy=0. 相似文献
16.
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
17.
In this paper, we are concerned with the oscillation of third order nonlinear delay differential equations of the form
(r2(t)(r1(t)y′)′)′+p(t)y′+q(t)f(y(g(t)))=0. 相似文献
18.
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
19.
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
20.
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