查询词典 asymptotic behavior

Asymptotic behavior of mathematical ecological models is an important conception with rich connotation,which mainly includes attractability of the solutions,stability,periodicity and oscillation and so on.

数学生态模型解的渐近行为是一个具有丰富内涵的重要概念，其主要包括解的吸引性、稳定性、振动性与周期性等内容。

The asymptotic behavior of the weak solution is obtained when an enthalpy function is made in L(superscript 2 subscript +) and a differential inequality is proved after using Cauchy inequality, Poincare inequality and the definition of weak solution.

在L(上标2 下标+)空间上构造了一个熵函数，利用带ε的Cauchy不等式和poincare不等式及弱解的定义，推导出了此函数满足的一个微分方程不等式，通过求解微分方程，证明了弱解的渐近性问题。

In the last chapter we study the asymptotic behavior of solutions to the model when the signal function is a nonlinear constant function.

第三章研究信号函数为分段常数非线性函数时模型解的渐近行为。

At last, we are concerned with the global existence and asymptotic behavior of smooth solution to the initial boundary value problem for the bipolar hydrodynamic model with the Neumann and Dirichlet boundary condition in the one-dimensional case, respectively. The difficulties from the coupled action between electrons and holes are carefully dealt with.

另外，本文也深入研究一维空间双极半导体流体动力学模型初边值问题光滑解的整体存在性及其衰减性，分别讨论了两类在实际应用中重要的边值条件，克服了由于电子和空穴之间的耦合作用所带来的困难。

In Chapter 1, we use the upper and lower solutions method, the bootstrap technique and the Schauder fixed point theorem to investigate the existence of periodic solutions and the asymptotic behavior of general time-dependent solutions for periodic reaction-diffusion systems of the following three types:(1) Quasimonotone nondecreasing system;(2) Mixed quasimonotone system;(3) A nonquasimonotone 2-system. The boundary conditions are assumed to be either the Dirichlet condition or linear Robin conditions.

在第一章，我们应用上、下解方法，bootstrap技巧和Schauder不动点定理考察如下三类周期反应扩散方程组的周期稳态解的存在性和一般的时变解的渐近性态：（1）拟单增系统；（2）混拟单调系统；（3）一个非拟单调2-系统，其边界条件是Dirichlet条件或线性Robin条件。

In chapter 4,by using the Liapunov method and the generalized Liapunov method ,we study the asymptotic behavior for matrix functional differential equations .The conditions for the solution of the system X.

在第四章中，我们用Liapunov方法和推广了的Liapunov方法研究了矩阵泛函微分方程的渐近行为，给出了系统X。

The asymptotic behavior of solutions of the dynamical equations of the moist atmospheric motion is studied in the infinite dimensional Hilbert space.

研究了完整的湿大气动力学方程组解的长期性态。

The result indicates that the damping term drastically changes the asymptotic behavior of the hyperbolic equation.

分析结果表明，阻尼项强烈地改变双曲型方程解的渐近行为，强阻尼双曲型方程组的能量E随时间按指数衰减，即E≤Cexp。

In addition to the existence of periodic solutions and the asymptotic behavior of general transient solutions, the uniqueness of periodic solutions for these systems with Neumann boundary condition are also considered.

作为一个推广，我们也讨论了带非线性Robin边界条件的混拟单调反应扩散方程组的类似问题。

In this paper, the author is concerned with the problems that are to be solved in the field of Partial Difference Equations such as the following: the existence of oscillatory solutions of some partial difference equation, the asymptotic behavior of positive solutions of the same equation.

本文旨在研究当前偏差分方程领域中尚待解决的有关振动解的存在性及正解的渐近存在性等问题。

Further more, the simplified analysis method on stressed-skin effect of corrugated steel sheet is also discussed in detail.

此外还比较详细地探讨了蒙皮效应的简化分析方法。

If I had known her telephone number,I would have called her.

要是我知道她的电话号码，我就打电话给她了。