Under certain conditions, it is proved that optimal control law is the solution of nonlinear equations.
在一些假定条件下，证明了最优控制为一非线性方程组的解。
The solution of nonlinear algebraic equations is usually met in the study of flight dynamics.
飞行动力学研究中常遇到求解非线性代数方程组的问题。
In the second part, we mainly consider oscillations of solution of some linear and nonlinear partial difference equations with discrete variables and delays.
第二章主要是研究某些类型的线性或非线性的带有离散时滞的偏差分方程解的振动性的判别法。
Based on the estimation of the unit solution matrixes of differential equations, the unique steady state of the dynamic circuits with nonlinear resistors is studied by matrix measure.
本文利用微分方程单位解矩阵估计的相关方法，得到了确定含有非线性电阻的动态电路唯一稳态的条件。
A class of nonlinear delay difference equations is considered. The non-convergence of nontrivial positive solution of the equations is proved by direct computation method.
考虑一类非线性时滞差分方程，用直接计算的方法，证明了它的所有非平凡正解都是发散的。
By using the fixed point theorem, we prove some new existence theorems of the solution for this class of nonlinear projection equations in Hilbert Spaces.
利用不动点定理，我们得到了关于这类非线性投影方程解的一些新的存在性定理。
Therefore, this paper introduces a linearized function in light of the flow conditions of natural gas and obtains an analytic solution through solving nonlinear equations.
对此，本文根据天然气流动情况，引入一线性化函数，通过求解非线性方程得到了解析解。
The nonlinear motion equations of the systems are derived and the journal orbits are determined as aPProximate solution of those equations.
推导出了系统的非线性运动方程，所求方程的近似周期解即为轴心轨迹。
Extending it to iterative solution of structural optimization nonlinear criterion equations, complete automatization of iterative seeking solution for structural optimization can be implemented.
将其推广到结构优化非线性准则方程组的迭代求解，可实现结构优化迭代求解的完全自动化。
The characteristics of nonlinear equations for a deployable truss structure with clearances are analyzed, numerical solution method for such equations is studied.
针对带铰接间隙大型桁架式伸展机构的动力学方程，分析了方程的非线性特性，研究了其数值求解方法。
And then, the solution method of nonlinear equations and the computing formats of rubber-typed materials by finite element method were given.
然后给出了橡胶类材料的有限元计算格式及非线性方程组的解法。
This paper proposes a iterative formula for solution to real roots of nonlinear equations, proves convergence of the iterative series.
本文给出一个求非线性方程实根的迭代公式，证明了由此产生的迭代叙列的收敛性。
This paper deals with the problems on the existence and uniqueness of bounded solutions and almost periodic solution for third order nonlinear differential equations with time lag.
研究具时滞的三阶非线性微分方程，利用变量替换和不动点方法，得到了此方程有界解和概周期解的存在性及唯一性结果。
In this paper, the problem about the stability of the zero solution of a set of four-order equations with two nonlinear terms is discussed.
本文讨论了具有两个非线性项的四阶方程零解的稳定性问题。
Moreover, in general, the solution of a nonlinear set of equations can't be expressed using radicals.
此外，一般来说，非线性方程组的解不能使用自由基来表示。
This paper deals with the existence and uniqueness of the solution of a class of nonlinear functional integral equations.
研究一类非线性函数积分方程解的存在唯一性。
The shooting method, sub and super solution method, and fixed point theorem were used to study a class of nonlinear diffusion equations with nonlocal boundary value condition in perforated domains.
利用打靶法、上下解方法和不动点定理等工具，研究有孔区域上一类具非局部边值条件的非线性扩散方程。
This paper discusses the stability of solution of the oblique derivative problem for the nonlinear elliptic system of first order equations.
讨论了一阶非线性椭圆型方程组斜微商问题解的稳定性，这个结果是借助于有关边值问题解的先验估计而导出的。
By using the perturbed-energy method, the exponential decay of the solution is obtained for the nonlinear wave equations with time-dependent coefficients and dissipative boundary condition.
利用能量法证明了具耗散边界条件和时间依赖系数的非线性波方程的能量指数衰减性。
Then using the approximate solution as initial value of iteration, the nonlinear equations for the closest point of collapse are solved directly by Newton-Raphson method.
然后采用牛顿-拉夫逊法直接对最近电压崩溃临界点模型所构成的非线性方程组进行迭代求解。
Aiming at the solving problem of equilibrium solution of this nonlinear model, geometry theory of differential equations is adopted, and the relative calculation formula is given.
采用微分方程几何理论分析河流综合水质模型的基本方程，探讨了河流综合水质模型的平衡状态解的求解方法，并给出相关计算公式。
The equations can be used to analyze the effects of imperfections on the elastoplastic response of structures and they are also useful for the solution of nonlinear problems and buckling analysis.
可用于分析缺陷对结构非线性弹塑性反应的影响，也可用于带缺陷的非线性问题求解及稳定性分析。
This paper mainly studies the numerical solution of a class of nonlinear diffusion equations using a monotone iteration method with the global convergence.
本文主要运用一种具有全局收敛性的单调迭代法求解了一类非线性扩散方程的数值解。
In the chapter 1, we introduce some methods to study the exact solution of nonlinear partial differential equations.
第一章中我们简述了一些研究非线性偏微分方程精确解的方法。
Using the progressive iterative, the method allows direct extension of MFES to nonlinear inviscid compressible flow. Thus it provides a new approach to the solution of the nonlinear equations.
采用逐步逼近的办法，可以把有限基本解方法推广到求解非线性的无粘可压流体，从而为非线性方程的求解提供了新的途径。
The existence and uniqueness of global solution for the nonlinear wave equations with acoustic boundary conditions are obtained.
研究具有声学边界条件的非线性波动方程初边值问题，得到整体强解的存在惟一性。
The solution for design model of soft landing in borehole trajectory can come down to the solution with 7-element nonlinear equations.
井眼轨道的软着陆设计模型的求解可以归结为一个七元非线性方程组的求解问题。
The second-order nonlinear differential equations are studied and the existence of the periodic degenerate solution is proved with the principle of the functional analysis.
应用非线性泛函分析的理论和方法研究了一类二阶线性微分方程，证明了周期衰减解的存在性。
Methods of constant variation are an efficient solution to all nonlinear differential equations.
常数变易法是求解非齐次线性微分方程的一种有效方法。
In this paper, three classes of coupled nonlinear equations are solved respectively, and we obtain solitary wave solution of systems.
本文分别对三类非线性耦合方程组求解，得到了系统的孤波解。
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