共查询到20条相似文献,搜索用时 508 毫秒
1.
Basudeb Dhara 《Czechoslovak Mathematical Journal》2018,68(1):95-119
Let R be a noncommutative prime ring of characteristic different from 2 with Utumi quotient ring U and extended centroid C, let F, G and H be three generalized derivations of R, I an ideal of R and f(x1,..., x n ) a multilinear polynomial over C which is not central valued on R. If for all r = (r1,..., r n ) ∈ I n , then one of the following conditions holds:
相似文献
$$F(f(r))G(f(r)) = H(f(r)^2 )$$
- (1)there exist a ∈ C and b ∈ U such that F(x) = ax, G(x) = xb and H(x) = xab for all x ∈ R
- (2)there exist a, b ∈ U such that F(x) = xa, G(x) = bx and H(x) = abx for all x ∈ R, with ab ∈ C
- (3)there exist b ∈ C and a ∈ U such that F(x) = ax, G(x) = bx and H(x) = abx for all x ∈ R
- (4)f(x1,..., x n )2 is central valued on R and one of the following conditions holds
- (a)there exist a, b, p, p’ ∈ U such that F(x) = ax, G(x) = xb and H(x) = px + xp’ for all x ∈ R, with ab = p + p’
- (b)there exist a, b, p, p’ ∈ U such that F(x) = xa, G(x) = bx and H(x) = px + xp’ for all x ∈ R, with p + p’ = ab ∈ C.
- (a)
2.
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
3.
The reaction-diffusion delay differential equation
ut(x,t)−uxx(x,t)=g(x,u(x,t),u(x,t−τ)) 相似文献
4.
Douglas R. Anderson Joan Hoffacker 《Journal of Mathematical Analysis and Applications》2006,323(2):958-973
We are concerned with the fourth-order nonuniform cantilever beam problem
(I(x)WΔ∇(x))Δ∇=f(x,W(x)), 相似文献
5.
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
6.
Spectral theory of isotropic random fields in Euclidean space developed by M. I. Yadrenko is exploited to find a solution to the problem of optimal linear estimation of the functionalwhich depends on unknown values of a periodically correlated (cyclostationary with period T) with respect to time isotropic on the sphere S n in Euclidean space E n random field ζ(t, x), t?∈?Z, x?∈?S n . Estimates are based on observations of the field ζ(t, x)?+?θ(t, x) at points (t, x), t?=???1,???2, ..., x?∈?S n , where θ(t, x) is an uncorrelated with ζ(t, x) periodically correlated with respect to time isotropic on the sphere S n random field. Formulas for computing the value of the mean-square error and the spectral characteristic of the optimal linear estimate of the functional Aζ are obtained. The least favourable spectral densities and the minimax (robust) spectral characteristics of the optimal estimates of the functional Aζ are determined for some special classes of spectral densities.
相似文献
$$ A\zeta ={\sum\limits_{t=0}^{\infty}}\,\,\,{\int_{S_n}} \,\,a(t,x)\zeta (t,x)\,m_n(dx) $$
7.
We consider integrals of the form , where h is a small positive parameter and S(x, θ) and f(τ, x, θ) are smooth functions of variables τ ∈ ?, x ∈ ? n , and θ ∈ ? k ; moreover, S(x, θ) is real-valued and f(τ, x, θ) rapidly decays as |τ| →∞. We suggest an approach to the computation of the asymptotics of such integrals as h → 0 with the use of the abstract stationary phase method.
相似文献
$$I\left( {x,h} \right) = \frac{1}{{{{\left( {2\pi h} \right)}^{k/2}}}}\int_{{\mathbb{R}^k}} {f\left( {\frac{{S\left( {x,\theta } \right)}}{h},x,\theta } \right)} d\theta $$
8.
In this paper, the Fokas unified method is used to analyze the initial-boundary value for the Chen- Lee-Liu equation on the half line (?∞, 0] with decaying initial value. Assuming that the solution u(x, t) exists, we show that it can be represented in terms of the solution of a matrix Riemann-Hilbert problem formulated in the plane of the complex spectral parameter λ. The jump matrix has explicit (x, t) dependence and is given in terms of the spectral functions {a(λ), b(λ)} and {A(λ), B(λ)}, which are obtained from the initial data u0(x) = u(x, 0) and the boundary data g0(t) = u(0, t), g1(t) = ux(0, t), respectively. The spectral functions are not independent, but satisfy a so-called global relation.
相似文献
$i{\partial _t}u + {\partial_{xx}u - i |u{|^2}{\partial _x}u = 0}$
9.
In this paper we study nonlinear, discrete, multipoint boundary value problems of the form
x(t+1)=A(t)x(t)+?f(t,x(t)) 相似文献
10.
Tariel Kiguradze V. Lakshmikantham 《Journal of Mathematical Analysis and Applications》2006,324(2):1242-1261
For the nonlinear hyperbolic equation
u(2,1)=f(x,t,u,u(1,0),u(2,0),u(0,1),u(1,1)) 相似文献
11.
X.H. Tang 《Journal of Mathematical Analysis and Applications》2005,301(2):313-335
In this paper, sufficient conditions are established for the asymptotical behavior of solutions of the delay differential equation
x′(t)=F(t,xt)+G(t,xt) 相似文献
12.
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
13.
Let {Q n (α,β) (x)} n=0 ∞ denote the sequence of polynomials orthogonal with respect to the non-discrete Sobolev inner product where λ>0 and d μ α,β(x)=(x?a)(1?x)α?1(1+x)β?1 dx, d ν α,β(x)=(1?x) α (1+x) β dx with a1, α,β>0. Their inner strong asymptotics on (?1,1), a Mehler-Heine type formula as well as some estimates of the Sobolev norms of Q n (α,β) are obtained.
相似文献
$\langle f,g\rangle=\int_{-1}^{1}f(x)g(x)d\mu_{\alpha,\beta}(x)+\lambda\int_{-1}^{1}f'(x)g'(x)d\nu_{\alpha,\beta}(x)$
14.
Philippe Cieutat 《Journal of Mathematical Analysis and Applications》2009,354(2):494-2634
We give sufficient conditions ensuring the existence, uniqueness and global attractiveness of a pseudo compact almost automorphic solution of the following differential equation:
x′(t)=f(t,x(t)) 相似文献
15.
In this paper we study the boundary behavior of solutions to equations of the form
∇⋅A(x,∇u)+B(x,∇u)=0, 相似文献
16.
We study the convergence and decay rate to equilibrium of bounded solutions of the quasilinear parabolic equation
ut−diva(x,∇u)+f(x,u)=0 相似文献
17.
Janusz Matkowski 《Journal of Mathematical Analysis and Applications》2009,359(1):56-576
Let I,J⊂R be intervals. One of the main results says that if a superposition operator H generated by a two place ,
H(φ)(x):=h(x,φ(x)), 相似文献
18.
Tiziana Cardinali 《Journal of Mathematical Analysis and Applications》2005,308(2):620-635
In this paper we deal with a Cauchy problem governed by the following semilinear evolution differential inclusion:
x′(t)∈A(t)x(t)+F(t,x(t)) 相似文献
19.
Consider the fractional differential equation
Dαx=f(t,x), 相似文献
20.
Dian K. Palagachev 《Journal of Mathematical Analysis and Applications》2009,359(1):159-1730
We derive global Hölder regularity for the -weak solutions to the quasilinear, uniformly elliptic equation
div(aij(x,u)Dju+ai(x,u))+a(x,u,Du)=0 相似文献