我们施加于非线性项的条件非常容易验证。
Our conditions imposed on the nonlinear term are very easy to verify.
研究了具有三次非线性项的多阶梯梁的振动。
Vibrations of multiple stepped beams with cubic nonlinearities were considered.
讨论具有跳跃非线性项的非正定核积分方程。
This paper deals with indefinite integral equations with jumping nonlinearities.
这里，非线性项是下有界的并且不需要是非负的。
Here, the nonlinear term is bounded below and need not be nonnegative.
同时得到了分解系数和非线性项界限的估计公式。
At the same time, the decomposition coefficients and the nonlinear terms are given respectively.
方程中的非线性项关于其变量可以具有奇性和间断性。
The nonlinear term in the equation may have singularity and discontinuity in its variables.
与现有工作相比，我们对于非线性项的要求是半正的。
Compared with the known results, our nonlinear term here is semipositone.
同时，给出了扰动参数与滞后非线性项界线的估计公式。
Meanwhile, the estimation formulas of bounds for delays and parametric perturbation are given.
每个子系统都包含非线性项，且互联项是非线性非匹配的。
Each subsystem contains nonlinear term and the interconnections are nonlinear and unmatched.
它通过添加一线性项，来模拟励磁支路深度饱和后的特性。
The characteristics of deeply saturated magnetizing branch are simulated by adding a new linear term.
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。
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.
预测模型包含时序自回归项、线性回归项和双线性项三部分。
The forecast model includes three parts of the sequential auto-regression item, linear regression item and double-linear item.
研究了一类含平方、立方非线性项的两自由度系统的全局分岔。
In this paper, global bifurcations in a class of nonlinear dynamical systems is investigated.
本文介绍了带线性项的富里哀多项式拟合法的推导、计算思路。
In this paper, the derivation and thinking of the calculation of the Fourier polynomial fitting with a linear term is introduced.
该分析框架保留了二阶非线性项，保证了随机负荷潮流的计算精度。
The framework preserved the second-order nonlinear terms and ensured the computer accuracy.
这种方法同样也适用于求解具有更高次非线性项的其他非线性波方程。
This method used in the paper can be also be applied to other nonlinear wave equations with higher-order nonlinear terms.
考虑一类对角型椭圆组，它的非线性项关于未知解的梯度为二次增长。
Consider an elliptic system in diagonal form of which the nonlinear terms are of quadratical growth respect to the gradient of the unknown solution.
证明了一类非线性项受幂函数控制的次线性分数微分方程的正解存在性。
The existence of positive solution is proved for a class of sublinear fractional differential equations where the nonlinear terms subject to the power functions.
在近岸，地形复杂，数值计算网格不宜过大，计算中必须计入非线性项。
In the near shore, which has complicated geometry, the calculating grid mesh should not be too large and the non - linear term must be included in calculation.
该定理允许非线性项有一个负的下界，推广和改进了一些已知研究结果。
The theorem which allows the nonlinearity to have a minus lower bound serves to generalize and improve many known results.
本文研究了半线性波动方程在非线性项和初值满足一定条件下解的存在性。
This paper studies the existence of solution for a semilinear wave equation under the nonlinear term and initial value satisfying certain conditions.
推导了考虑几何非线性项的结构形状优化位移灵敏度和应力灵敏度计算列式。
This thesis deduces computational formulations of displacement sensitivity and stress sensitivity in structural shape optimization considering geometric nonlinear element.
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。
Our results show that the equation has at least one solution provided the nonlinear term satisfies a linear growth restriction.
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。
The existence theorem shows that the equation has at least one solution provided the nonlinear term satisfies a linear growth condition.
双线性系统容错控制的主要问题在于处理模型中的非线性项与多模型同时镇定。
The main problems for bilinear system tolerance control are dealing with nonlinear item in the model and stabilizing all models in the same time.
二维平行壁面剪切流动进入混沌的现象可用含二次非线性项的强迫振动方程来描述。
The bifurcation and chaotic process of two-dimensional parallel wall shear flows are described by the forced oscillation equation containing a square nonlinear term.
该方程组不仅包含二次及三次非线性项，而且体现了参数激励与外激励的联合作用。
The equations of motion of beam, which includes not only quadratic and cubic nonlinearities but also parametric and forced excitations are derived using Kane's equation.
利用临界点理论，研究了一类含有渐近线性项和奇异项的半线性椭圆方程的边值问题。
According to the critical point theory, a class of problems of elliptic boundary value with an asymptotically linear term and singular term is studied.
本文研究了用与受迫力谐波共振的周期摄动抑制含二次非线性项受迫振动系统中的混沌。
In this paper, suppression of chaos in a forced vibration system with a square term by resonant periodic perturbations is studied.
本文研究了用与受迫力谐波共振的周期摄动抑制含二次非线性项受迫振动系统中的混沌。
In this paper, suppression of chaos in a forced vibration system with a square term by resonant periodic perturbations is studied.
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