共查询到20条相似文献,搜索用时 0 毫秒
1.
研究Boltzmann方程的一个动力学模型:Tjon-Wu方程的更一般的形式.我们证明了在L_(1.1)范数意义下方程的稳态解的渐近稳定性. 相似文献
2.
When we seek the generalized solution ofthe second knid Fredholm integral equation,the integral domain is always perturbed.Is the generalized solution of the second kindFredholm integral equation stable,when the integral domain is perturbed?Before an-swering this question let us look at the following example. Example1 Consider the integral equationψ(x) -∫baex- yψ(y) dy =f(x) , x∈ [a,b] . (1 )Obviously,the solutionψ(x) of the equation(1 ) must satisfy thatψ(x) =f(x) + cex, (2 )wh… 相似文献
3.
In this paper, we establish the generalized Hyers–Ulam–Rassias stability of homomorphisms between ternary algebras associated
to the generalized Jensen functional equation
. 相似文献
4.
We are going to study the standing waves for the generalized Choquard equation with potential: where \(V(x)\) is a real function, \(p>2\) is close to 2 and ? standards for the convolution in \(\mathbb{R}^{3}\). The stability of the standing waves \(u(x)=e^{i\omega t}\varphi (x)\) is investigated under suitable assumptions on the potential and the frequency \(\omega \).
相似文献
$$ -i\partial_{t} u-\Delta u+V(x)u=\bigl(|x|^{-1}\ast |u|^{p}\bigr)|u|^{p-2}u,\quad \hbox{in } \mathbb{R}\times \mathbb{R}^{3}, $$
5.
6.
《复变函数与椭圆型方程》2012,57(9):739-752
This article deals with the solvability of the CR equation rw = (A0(θ) ? O(rα))w ? (B0(θ) ? O(rα)), where z = r eiθ and where A0, B0 are continuous and 2π-periodic. The solutions of this equation are shown to be similar to those of the model equation rw = A0(θ)w ? B0(θ). The solutions of the model equation are completely characterized by using dynamical systems and Fourier techniques. 相似文献
7.
Mo Chen 《印度理论与应用数学杂志》2018,49(4):717-727
The aim of this paper is to consider the generalized Korteweg-de Vries equation in a finite interval with a very weak localized dissipation. We obtain the globally uniformly exponentially stability of this equation. The main difficulty in this context comes from the structure of nonlinear term and the lack of regularity. 相似文献
8.
Similarity Solutions of a Generalized Burgers Equation 总被引:1,自引:0,他引:1
The similarity method is applied to a generalized Burgers equationwhich has been applied to shock waves and to sound waves. Threedifferent cases of the equation, each allowing a three-parametersymmetry group, are found. The corresponding reduction to anordinary differential equation is given. The Lie algebras ofthe groups are identified with standard types given by Bianchi. 相似文献
9.
10.
本文研究由等离子体物理提出的广义KdV方程的解的L^2一致稳定性,讨论了这种方程的初值问题,首先建立了几个与通常能量估计不同的整体估计,随后证明了解的L^2一致稳定性。 相似文献
11.
12.
The linear stability problem of the rotational motion of a rigid body around a fixed point containing an inner cavity filled up with an ideal fluid is considered. In this paper, we also assume that the fluid is rotating. The effect of the angular velocities of the rigid body and the fluid in the stability problem is studied. The case of a cavity ellipsoidal is presented in detail. 相似文献
13.
本文在[1]的基础上,得到了一维广义Ginzburg-Landau方程的指数吸引子的存在性。 相似文献
14.
《数学的实践与认识》2015,(21)
为了构造非线性孤子方程的Wronskian行列式新解,进一步研究了Wronskian技巧.本文首先给出非线性广义Boussinesq方程的双线性形式,利用Wronskian技巧构造出该非线性方程所满足的一个线性偏微分条件方程组,然后求解该微分条件方程组,得到了广义Boussinesq方程的各种Wronskian行列式解. 相似文献
15.
We apply the Lie–group formalism to deduce symmetries of a generalized double dispersion equation. We derive the ordinary differential equation to which the equation is reduced. We obtain exact solutions which can be expressed by various single and combine nondegenerative Jacobi elliptic function solutions and their degenerative solutions. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
16.
In the present paper we prove that, under some suitable conditions on multifunctions $C\!: {I\!\!R}^l\rightrightarrows {I\!\!R}^n$ , $F\!:{I\!\!R}^d\times {I\!\!R}^n\rightrightarrows {I\!\!R}^m$ , and $K\!:{I\!\!R}^l\times {I\!\!R}^n\rightrightarrows {I\!\!R}^m$ , the generalized perturbation multifunction $G\!: {I\!\!R}^d\times{I\!\!R}^l\times {I\!\!R}^m\rightrightarrows {I\!\!R}^n$ , of the form $$G(\mu,\lambda,\nu)=\{x\in C(\lambda)\ |\ \nu\in F(\mu,x)+K(\lambda,x)\},$$ is proto-differentiable at (μ, λ, ν) relative to x?∈?G(μ, λ, ν). Moreover, in a special case, where K(λ, x) is a normal cone to C(λ) at x, we also provide sufficient conditions for G(·) to be single-valued on a neighborhood of (μ, λ, ν) and semi-differentiable at (μ, λ, ν). 相似文献
17.
18.
19.
Acta Mathematicae Applicatae Sinica, English Series - In this paper, we focus on studying the asymptotic stability of the monotone decreasing kink profile solitary wave solutions for the... 相似文献
20.
设D=3a^2+1,P=4a^2+1是奇素数,其中a是正整数.本文证明了:当a〉6.10^18时,方程x^2+D^m=P^n恰有2组正整数解(x,m,n)=(a,1,1)和(8a^3+3a,1,3). 相似文献