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Secondly, by linearizing the system at the unique positive equilibrium solution and analyzing the associated characteristic equation, it is found that the positive equilibrium solution is asymptotically stable when the delay equals to zero and when it is increased to certain critical value, the positive equilibrium solution will loss the stability and a spatially heterohomogeneous periodic solution will bifurcate from this positive equilibrium solution.

通过在系统唯一的正平衡解处线性化系统和分析相应的特征方程,发现在时滞等于零时该正平衡解是渐近稳定的,当时滞逐渐增大到某个临界值时该正平衡解将失去稳定性而且在该平衡解处分支出空间非齐次的周期解。

In this paper, we study the L~1 stability of the classical solutions and the existense of the eternal solution for the Boltzmann equation with a small initial data. In fact, C.

本文研究的是空间非齐次Boltzmann方程的L~1稳定性和永久型解的存在唯一性。

O1 c compactness of the entropy equation; At last, coupling with Kinetic formulation, we can obtain the existence of a strong convergent sequence, then the limit function is just the entropy weak solution of the original systems.3. Existence of global entropy solutions to an inhomogeneous elastodynamics system.

o1 c紧性,最后结合Kinetic理论得到粘性解存在强收敛的子列,从而可得该极限函数即为原方程组的熵弱解。3、研究了一类非齐次弹性力学方程组整体熵解的存在性。

A costate prediction method based on bilinear model is presented. Using simple general model, two implemental DISOPElike algorithms based on Hopfield network and on temporal decomposition method are proposed respectively.

同时对于具有终端状态等式约束问题,建立了基于时变线性模型的递推DISOPE算法;对于非齐次双线性二次型问题提出了一个迭代算法,并且给出了该算法收敛的充分条件;给出了基于双线性模型的协状态预测算法;利用一般模型,分别提出了基于Hopfield网络和时间分解方法的DISOPE算法。

Based on this, to avoid using the Green′s formula on infinite domain, an infinitely differentiable function with compact subset is constructed and some important results to a especial solution of the inhomogeneous field equation are obtained.

在此基础上,为了避免使用无限区域上的 Green公式,通过构造紧支集上的无穷可微函数,获得满足非齐次控制微分方程的特解的重要结果。

In part V using Lions' second Concentrate Compactness Lemma andvariational method,we prove the existence of minimal positive solutionof a class of quasilinear elliptic obstacle problems〓in space〓.

第五部分使用Lions的集中紧性原理和变分方法,我们证明了一类非齐次拟线性椭圆型方程对应的障碍问题〓在〓中极小正解的存在性。

We get the necessary and sufficient conditions about admissibility for linear estimators of estimable function among the inhomogeneous linear class.

利用矩阵的向量化方法,研究了带线性约束的增长曲线模型中可估函数的线性估计在非齐次线性估计类中可容许的充要条件。

For the non-homogeneous multi-dimensional scalar conservation laws, there is no existence theorem of global weak solution.

关于高维单守恒律方程的研究,对于非齐次的情形,至今还没有得到全局弱解的存在性定理。

The Fourier transformations about the azimuthal angle and Hankel transformation about the radial direction have been used to convert the basic equations of elasticity into a non-homogenous first-order ordinary differential equation system in cylindrical coordinates.

在柱坐标系下,利用关于方位角的Fourier变换及关于径向的Hankel变换,将弹性力学基本方程组转化为非齐次的一阶常微分方程组的标准形式。

On January 5, 1918, a giant explosion in the air base in Ahlhorn destroyed four Zeppelins (including L 47 ) and one non-Zeppelin-type airship, stabled in three adjacent hangars.

关于1918年1月5日,一个巨大的爆炸发生在空军基地 Ahlhorn 摧毁四个Zeppelins (包括 L 47 )和一个非齐柏林式飞艇,稳在三个相邻的机库。

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