STEADY-STATE SOLUTIONS FOR A ONE-DIMENSIONAL NONISENTROPIC HYDRODYNAMIC MODEL WITH NON-CONSTANT LATTICE TEMPERATURE

A one-dimensional stationary nonisentropic hydrodynamic model for semiconductor devices with non-constant lattice temperature is studied. This model consists of the equations for the electron density, the electron current density and electron temperature, coupled with the Poisson equation of the electrostatic potential in a bounded interval supplemented with proper boundary conditions. The existence and uniqueness of a strong subsonic steady-state solution with positive particle density and positive temperature is established. The proof is based on the fixed-point arguments, the Stampacchia truncation methods, and the basic energy estimates.     

具滞后中立型线性大系统的稳定性

本文采用具有加权向量范数型李雅谱诺夫函数及时域中微分、积分不等式,对滞后中立型线型大系统进行模型集结,得到低阶集结系统,从而获得了滞后中立型大系统的稳定性的判据。     

浅论复合函数序列的一致收敛性

本文给出了由一致收敛的函数序列生成的复合函数序列的一致收敛的若干结论.对每一个结论,我们都给予了严格的证明.     

Pullback exponential attractors for the non-autonomous micropolar fluid flows

This paper investigates the pullback asymptotic behaviors for the non-autonomous micropolar fluid flows in 2D bounded domains. We use the energy method, combining with some important properties of the generated processes, to prove the existence of pullback exponential attractors and global pullback attractors and show that they both with finite fractal dimension. Further, we give the relationship between global pullback attractors and pullback exponential attractors.     

THE UNCONDITIONAL STABILITY FOR THE HYPERNEUTRAL TYPE CONSTANT LINEAR CONTROL SYSTEM WITH DELAYS

With great developments of 8cience and technology exten8ion of system scale and variousapplication of computer, control 8ystem become expansive and sophisticated in the structureproperty About the stable questions of the delny type and the delay neutral type continuouscontrol sy8tem, many good result8 bave been establi8hed by many authors, but we seldom 8eethe studying of the unconditional stability problem for the hyperneutral type. In this paper,applying to the frequency domain method and th…     

多组多滞后超中立型线性定常系统无条件稳定的一个新判据

本文利用频域法,讨论了多组多滞后超中立型线性定常系统的无条件稳定性问题,获得了简洁的充分必要条件。     

一类单极等熵流体动力学半导体模型的松弛极限

对一类有短的动量松弛时间的多维等熵流体动力学半导体模型的极限问题进行了讨论．首先构造非线性问题的有初始层的近似解,进而,在归结问题的解存在且有合适的正则性的假设下,证明了原非线性问题的局部古典解的存在性,并且证明了这个解在归结问题解的存在时间区间内收敛到形式近似解．     

函数在无穷远处极限为零的判定方法

给出了若干判断函数在无穷远处有零极限的方法,并对每种方法给予了严格的证明.     

多滞后中立型线性时变控制系统的无条件稳定

通过时变控制系统的稳定性的等价法 ,把多组多滞后中立型时变连续线性控制系统的无条件稳定性问题 ,转化为多滞后中立型定常连续系统的无条件稳定性问题 ,然后利用频域法和时域中的微分积分不等式 ,讨论了相应的多组多滞后中立型定常连续系统的稳定性 ,获得了若干多组多滞后中立型时变连续线性控制系统的无条件稳定性结果 .     

ON THE UNCONDITIONAL ROBUST STABILITY FOR THE MULTIDELAYS INTERVAL COEFFICIENT CONTROL SYSTEM

1 IntroductionIn [4] 5 Liu Yongqing discussed the equivalence problem about the closed-loopcontrol system with delaysand the no-delay control systemin the stability theory, and obtained some sufficient criterion, where Al(i =1, 2), B, C are constants or time-varying matrices, h = hij 2 0(z, j = 1, 2,'' 9 n).Recently, the stability and the unconditional stability about the controlsystem with delays and the delay neutral type control system, has been payingattention by many authors, and got m…