差分方程

Then using classical fractional differential G-L definition deduces fractional order differential difference function and constructs an approximate fractional order differential Tiansi module.

然后由经典的分数阶微分定义出发，推导出了分数阶差分方程，构建了近似的分数阶Tiansi微分模板。

The auxiliary differential equation of wave propagation in multiple Lorentz-dispersive and nonlinear media is derived. After the study of the optical pulse propagating in silica optical fiber, the best electric intensities for this material with different length are obtained.

论文中推导了在具有多个洛伦兹色散的非线性媒质中的辅助差分方程，探讨了在石英光纤中光脉冲的传输性质和现象，并得到了在这种媒质中经过不同距离出现光孤子效应时最佳的波源场强值。

Based on the chemical equilibrium flow assumption, the electron density at the exit of the nozzle is determined using the minimum free energy rule. A numerical model based on auxiliary difference equation is derived to simulate the plasma in the time domain and the calculating results are compared with that using Z transform.

以化学平衡流动为前提，采用最小自由能方法确定火箭发动机喷口处的电子密度；验证了基于辅助差分方程和Z变换方法对羽流电磁特性进行时域建模的正确性。

The oscillation of neutral difference equation with continuous arguments is discussed.

讨论具有连续变量的中立型差分方程，建立了该方程振动的若干充分条件

Stratum hurting ; parabolic partial different equation ; difference equation

地层伤害；抛物型偏微分方程；差分方程

The paper is regarding a fourth-order rational difference equation, proving that the positive equilibrium point of the equation is globally asymptotically stable.

研究了一个四阶有理差分方程，证明了该方程的正平衡点是全局渐近稳定的。

In this paper, by using the notable Mountain Pass Lemma of critical point theory, some sufficient conditions for the existence and multiplicity of periodic and subharmonic solutions to a class of second order nonlinear functional difference equations with Jacobi operators are obtained.

论文研究了一类具有Jacobi算子类型的二阶非线性泛函差分方程(1)的周期解和次调和解的存在性与多重性。首先将方程（1）的解的存在性问题转化为某个泛函临界点的存在性问题，然后验证此泛函满足著名的山路引理的条件，从而得到论文的主要结论。

Nonetheless, the theory of difference equations is a lot richer than the corresponding theory of differential equations.

尽管如此，差分方程理论要比相应的微分方程理论丰富得多。

A discrete-variable or digital system has one or more variables known only at particular instants of time, as in Fig.

离散系统或者数字系统，有一到其描述方程为差分方程。

Based on the discrete-time difference equation of the plant,an explicit solution of Diophantine matrix polynomial equations in multivariable generalized predictive control is derived without appealing to Diophantine matrix polynomial equations recursions or iterations,which makes the applications of generalized predictive control much more convenient.

直接利用被控对象的离散差分方程推导出多变量广义预测控制中Diophantine矩阵多项式方程的显式解，从而避免了其递推求解或迭代求解，使广义预测控制的应用更加方便。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。