Numerical results indicate that the nonlinear solution is (necessary) to stability analysis because linear buckling loads are much higher than those of nonlinear buckling.
计算得到的线性屈曲稳定系数远远大于非线性稳定系数，表明线性屈曲分析结果不可靠，而宜采用非线性进行计算。
But if linearly superpose the two fundamental wave solution, it does not have the significance because their background are nonlinear.
但简单的将这两个基波解进行线性迭加是没有意义的，因为它们的背景是非线性的。
Nonlinear networks are much more difficult to analyze than linear networks, for no general method can be used for their solution.
非线性网络分析起来比线性网络困难得多，因为一般的方法均不能用来解这些非线性网络。
Power system unit commitment, a problem of nonlinear commitment optimization with typical large-scale hybrid integers, is difficult to get an optimal solution in theory.
电力系统机组组合问题是一个典型的大规模混合整数的非线性组合优化问题，很难得到理论上的最优解。
Besides the equilibrium and periodic solution, the almost periodic solution, which sometimes appears as quasi-periodic solution, is also a long term regular motion of nonlinear system.
非线性系统的长期规则运动除了平衡点和周期解以外，概周期解，或有时表现为拟周期解也是一种长期规则运动。
The steady solution and its stability of Nonlinear Schrdinger Equation (NLSE) are studied by means of traveling wave transformation and bifurcation theory.
用行波变换方法和分叉理论研究里非线性薛定谔方程的定常解和定常解的稳定性。
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。
This method can be applied to the solution of geometrically nonlinear problems for complicated structures.
该方法能直接应用到大型复杂杆系结构的几何非线性问题的求解中。
Finally the iterative algorithm is established for the solution of the constrained nonlinear control system, the corresponding numerical example is given.
最后建立起受约束非线性控制系统求解的迭代算法，并给出相应的数值例题。
Cable dome is a large deformation composite structure consisted of flexible cables. Its analysis is a geometric nonlinear problem and is difficult in its solution.
索穹顶结构是大变形柔性组合结构，其受力分析属于几何非线性问题，求解较复杂。
Chaos is looked as the solution with internal stochastic property in the nonlinear deterministic systems.
混沌看作是确定性的非线性系统出现的具有内在随机性的解。
Our results show that the equation has at least one solution provided the nonlinear term satisfies a linear growth restriction.
我们的结论表明如果非线性项满足某种线性增长限制则该方程至少有一个解。
The existence theorem shows that the equation has at least one solution provided the nonlinear term satisfies a linear growth condition.
这个存在定理说明只要非线性项满足某种线性增长条件该方程至少有一个解。
An exact solution for the nonlinear birefringent medium model is obtained by using SO(3) rotation group property.
本文利用SO（3）旋转群性质得到了非线性双折射介质模型的一个严格解。
Based on the analysis of CRCP differential cell, a general analytic solution considering nonlinear bond-slip relation between steel bar and concrete and that between concrete and base is deducted.
通过对CRCP微分单元的分析，推导了考虑钢筋与混凝土间及混凝土与地基间非线性粘结-滑移关系的温度应力通用解析解。
This paper Studies nonlinear wave equation with dissipation items, reaching an approximate solution in the method of parameter differentiation.
对一类带耗散项非线性波动方程进行了研究，用“参数微分法”，得到其解析近似解。
This paper presents a new iterative formula by which the solution of nonlinear equation had rapid and absolute convergence.
提出了一个新的迭代公式，用此公式求解非线性方程根收敛速度快，且绝对收敛。
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 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。
A method to find real numerical solution of the nonlinear equation by logarithm complex conversion is presented in this paper.
本文提出一种通过对数复变换求非线性方程实数根数值解的方法。
The results show that these compounds have high values of second-order nonlinear polarizability in solution.
结果表明，所测定的化合物在溶液状态下表现出较强的二阶非线性极化特性。
A high accuracy algorithm for numerical solution of nonlinear partial differential equation (PDE) is suggested combining wavelet collocation method with generalized energy integral.
将小波配置法与广义能量积分相结合，提出了一种求解非线性偏微分方程的高精度数值方法。
The existence of periodic solution to nonlinear functional difference equation is considered by using the topological degree, and a periodic solution of this problem is obtained.
利用拓扑度理论对一类非线性泛函差分方程周期解的存在性进行了讨论，得到该问题周期解的一个存在定理。
In this paper the nonlinear least squares solution for signal-pole estimation is offered.
该文给出了信号极点估计的非线性最小二乘求解方法。
The real optimal solution of nonlinear discrete dynamic system can be obtained from piecewise linear model with model reality differences by iterative solution.
在存在模型-实际差异的情况下，从分时段线性化多模型出发通过迭代运算可得到实际非线性离散动态系统的真实最优解。
This paper investigated the eventual stability of the zero solution of nonlinear impulsive differential systems.
研究了非线性脉冲微分方程零解的最终稳定性。
This paper investigated the eventual stability of the zero solution of nonlinear impulsive differential systems.
研究了非线性脉冲微分方程零解的最终稳定性。
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