By using the q-exponential function and q-logarithm function, the analytical solution of the equation is derived.
本文导出了对数凸函数的又一性质，并利用该性质很方便地推导了一类不等式。
But for the general optimal control for nonlinear systems with time-delay, the analytical solution does not exist.
非线性时滞系统的最优控制问题是非常难解决的研究课题。
When solving different ordinary differential equations, we may take the analytical solution or numerical solution.
不同类型的常微方程可以采用解析解法或者数值解法。
The planar diode is calculated by means of MCM and compared with the analytical solution. The relative error is 0.8%.
用蒙特卡洛法计算了平面二极管并与解析解进行比较，相对误差为0.8％；
This paper studied a four-layer Kerr-type nonlinear slab-guided optical mode(TE mode) and obtained the analytical solution.
本文讨论了四层克尔型非线性介质平板结构中两种形式的光波导模问题（TE波），并求得解析解。
Arbitrary initial pore-water pressure distributions and flux boundary conditions are considered in the analytical solution.
此解析解考虑了任意初始的孔隙水压力分布和流量边界条件。
Finally, the analytical solution of the dynamic response of anchorage chamber is shown to make appropriate project proposal.
最后给出了洞室锚固体动态响应解析解，并提出相应工程建议。
There were two situations as follows: as the supply curve was linear, the analytical solution was presented by implementing;
在供应曲线为线性形式时，使用极大值原理方法，得到了机构投资者最优变现策略的解析形式解；
The analytical solution to the basic equations of the composite lattice flat shell simply supported at its perimeter is given.
对于周边简支的组合网状扁壳可求得基本方程序的解析解。
The numerical solution and the analytical solution were compared, absolute errors as well as reasons of the errors were analyzed.
把数值解与解析解进行比较，分析了误差及其产生的原因。
This paper solves the analytical solution for a simple three-directional electric cell models and some good results are obtained.
本文着重简单三维模型的电流密度求解计算，并对其计算结果进行了详细分析，取得了一定的研究成果。
The Analytical Solution of G. I. Taylor's Theory of Plastic Deformation in impact of Cylindrical Projectiles and its Improvement.
柱形弹体撞击塑性变形的G.I。泰勒理论的分析解及其改进。
Numerical result of thermal deformation of the solar array on the Hubble Space Telescope agrees well with the analytical solution.
对哈勃太空望远镜太阳能帆板热变形的实例计算表明，数值解与理论解符合较好。
By a comparison of the result with that of the analytical solution, the computational error of the numerical solution is discussed.
进行数值求解，通过数值解与精确解的比较，对计算误差的变化规律进行了分析研究。
The solution with this scheme for the tide in a uniform rectangular gulf is obtained and is consistent with the analytical solution.
将此格式运用于求解矩形等深海湾的潮波，得到与解析解一致的结果；
Based on one-dimensional insulation flow theory, the analytical solution of pressure drop for salt cavern under blowout is obtained.
根据一维绝热管流理论解析得到井喷情形下储库卸压规律。
The analytical results are compared with those obtained from the numerical simulation, indicating that the analytical solution is reasonable.
通过与成熟的有限元数值模拟软件计算结果的比较与分析，证明该解析解稳定可靠。
The analytical solution for the stability of cantilevered beam-columns is presented, and the design interaction formula for it is established.
给出了悬臂压弯构件整体稳定性计算的解析解，并建立了其设计计算的相关公式。
In the mobile boundary point by solving the analytical solution and numerical solution contrastive method, reduce the computational difficulty.
在机动边界点的求解上采用解析解和数值解对比的方法，降低了计算难度。
According to comparison, the analytical solution matches the numerical solution well. It is a simple, convenient and practical calculation method.
结果表明，该解析解具有较好的精度，是简便、实用的计算方法。
On the other hand, in order to demonstrate the convergence of the numerical solution to the analytical solution of the problem, an example is given.
还用一个例子证明：问题的数值解可以收敛到其解析解。
In this paper, the analytical solution of massive concrete temperature field of one dimension in stratifying construction of large bridge is presented.
提出了大型桥梁中大体积混凝土成层浇筑过程一维温度场的解析解。
Applying the analytical solution to analyze the passing capacity, the result indicates that the over taking rate influences the passing capacity, which is .
将解析解应用于通行能力分析，结果表明，超车换道率对通行能力的影响较大，为交通管理中某些路段禁止超车换道提供了理论依据。
The analytical solution for bending of orthotropic rectangular cantilever plates is investigated by use of Stockes transformation of double variable function.
应用各向异性稳态热传导解析解分析了三边对流换热、另一边给定不均匀温度的各向异性矩形悬臂板温度场。
The near crack line analysis method is used to investigate an eccentric crack loaded by shear forces in a finite plate, and the analytical solution are obtained.
利用裂纹线场方法对岩石材料偏心裂纹板受剪应力作用时进行了弹塑性分析，并且获得了理论解。
Transmission properties of TE wave in the nonlinear Kerr media plate with M layers have been discussed and the analytical solution of waveguide mode is also given.
讨论了M层克尔型非线性介质平板波导中TE波的传输特性，并给出其导模的解析解。
Then the analytical solution is obtained for transversely isotropic multi-layered elastic subgrade under arbitrary loadings by means of transferring matrix method.
然后再利用传递矩阵技术，给出了任意荷载作用下的层状横观各向同性弹性地基的解析解。
The results show that the analytical solution and test results do not agree well, but can be used to judge validity of numerical simulation results by qualitative.
结果表明钢直管模型的解析解与试验实测值存在一定差别，但可以用来定性的判断数值模拟结果的有效性。
Corresponding to the mathematical characteristics of the analytical solution, the physical implication and the fluctuation rule of groundwater level are discussed.
根据解的数学特征，讨论其对应的物理意义和潜水位变动规律。
A pressure drop model in horizontal well was established on the basis of the analytical solution of an elastic and unsteady seepage flow model in infinite reservoir.
本文在无限大均质地层弹性不稳定渗流模型解析解的基础上，建立了与地层耦合的水平井筒压降模型。
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