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Our results about the stability and long time asymptotic behavior of nonlinear waves are in some sense different from theirs.

假设半线性波系统的各种受控参数满足一定假设,对这样的半线性波系统的控制已经建立了一些理论。

The reference domain is assumed to be a bounded open set of R~N with boundary Γ of class C~2. We investigate in this paper the null controllability for the semilinear parabolic equations in non-cylindrical domains. The fixed point method is used in the proof.

本文讨论了定义在上述非柱形区域中的半线性抛物方程零能控性,我们使用的方法主要是通过同胚映射将非柱形区域中的抛物方程转化为柱形区域中的抛物方程,再利用不动点方法得到半线性抛物方程的有关结果。

Especially, by an example for analysis of the authoritical boston housing prices data, we emphasize on applying an new regression model and method -- semiparametric functional coefficient quantile regression and two-step estimation method to show the great explaination of the new

介绍了非参数回归和半参数回归的发展历程及其估计方法,还介绍了分位数回归的相关理论及其研究现况。在半参数、变系数回归和分位数回归的基础上,进一步讨论了非参数和半参数的变系数分位数回归模型和局部多项式线性估计法。

As we all know, it is equivalent to the null controllability of a cascade system governedby two linear degenerate parabolic equations. Next, we study the null controllability of acascade system governed by a semilinear degenerate parabolic equation and a semilinear heatequation.

众所周知,这等价于两个线性退化抛物方程构成的耦合系统在单个控制作用下的零能控问题;接下来我们又考虑了一类半线性退化抛物方程与半线性热方程构成的耦合系统的零能控问题。

In this thesis,we study the existence and the regularity of positive classical solution and the existence of the large solutions for a singular semilinear elliptic Dirichlet problem and a semilinear elliptic value problem of second order with gradient terms.

本文研究一类奇异半线性椭圆型方程的Dirichlet问题正的古典解的局部存在性及其正则性以及一类含对流项的二阶半线性椭圆型方程爆破解的局部存在性。

In this paper a new variational method for approximating the semilinear singular parabolic equation is given by using continuous finite elem...

本文利用连续时空有限元法对半线性奇异抛物方程进行了研究,利用线性化方法给出了有限元解的存在性证明和理论误差估计。

To similinear hyperbolic system, we use interpolated coefficient FEM and get similar results as the linear one.

对于一阶半线性双曲组,我们对半线性项插值系数有限元方法,得到了和线性问题类似的结论。

It is shown that an exponentially bounded integrated bisemigroups can be considered as the integration of a strongly continuous bisemigroup of bounded linear operators in some subspace of a Banach space with stronger norm topology,and also as the restriction of a strongly continuous bisemigroup of bounded linear operators in a bigger space with weaker norm topology.

证明了Banach空间x上的指数有界积分双半群可以作为x的某个子空间上具有较强范数拓扑下的有界线性算子强连续双半群的积分,同时也可作为较大空间上具有较弱范数拓扑下的有界线性算子强连续双半群积分的限制。

In the rest of this dissertation, we apply our above abstract results,"global Morse theory"and other critical point theorems to some semilinear resonant elliptic boundary value problems as well as some asymptotically"linear"or super"linear"p-Laplacian equations, and obtain the existence or multiplicity of solutions.

在后半部分,我们运用上面的抽象结果,以及大范围Morse理论和其他临界点理论,研究一些半线性椭圆共振问题的多重解的存在性,以及一些渐近线性或超线性p-Laplacian方程的解的存在性或多重性。

When a discussion is made on the blow-up problem for a semilinear development equation with singular cofficient,the solution is usually estimated,then the conditions for the blow-up problem are presented.

讨论奇异半线性发展方程组解的B low-up问题时,通常先对解进行估计,然后讨论在一定条件下解的B low-up。论文继续用这种方法讨论奇异半线性发展方程组解的B low-up问题,得到一定条件下解会B low-up

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