该方程右边的函数在实数域内不连续，是一个高度非线性微分方程组。
The equations are extra nonlinear differential equations. the dexter function is not continuous in field of real number .
通过最小化能量方案极小化代价函数，同时通过定点交替迭代策略将非线性方程进行线性化处理，快速恢复图像。
The cost functions are minimized by alternate minimization scheme. The nonlinear equations are linear by fixed-point iteration scheme.
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。
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.
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.
利用待定函数法研究了非线性轨道微分方程的解析解，求出了一类情形下的四类解析解。
In this paper , the undermined function method has been used to study the analytic solution of nonlinear orbit differential equation. In a case four kinds analytic solution are given.
本文通过研究主动脉容积变化微分方程，导出了心阻抗图与心脏射血的非线性函数关系。
This paper derived a non-Linear function relationship between the cardiac impedance plethysmogram and the heart ejection by researching differential equation of the aortic volume change.
将求非线性系统输出相关函数的问题，变成解常微分方程的问题。
Thus a problem of solving the output correlation function of nonlinear system is turned into a problem of solving an ordinary differential equation.
由于准则方程的高次非线性和复杂性，文中利用复合函数求导法则，直接针对基本随机变量求解。
Because of the complexity and high order nonlinear property of the criterion, a derivative method for compound function is used to get reliability.
研究一类非线性函数积分方程解的存在唯一性。
This paper deals with the existence and uniqueness of the solution of a class of nonlinear functional integral equations.
第二节介绍用三次矩阵样条函数方法逼近一阶矩阵非线性微分方程的数值解。
Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.
在这篇文章中，我们得到了非线性函数在无穷远处超线性增长时一类高维半线性双曲方程的整体精确能控性。
In this paper, we obtain the global exact controllability for a class of multidimensional semilinear hyperbolic equations with a superlinear nonlinearity.
对于非线性函数线性组合型相关方程，本文提出了交替运用非线性拟合和逐步线性回归分析相结合的方法一逐步非线性拟合。
A stepwise nonlinear fitting procedure was proposed to nonlinear fitting equations that USES Marquardt nonlinear fitting analysis and stepwise linear regression alternatively.
利用辅助函数对一类二阶非线性微分方程进行研究，给出了其解有界的充分条件。
Using the auxiliary function, studies the boundedness of solutions of a kind of 2-order nonlinear differential equations with delay, then gives sufficient conditions of them.
应用格林函数方法，将波纹膜片的非线性边值问题化为非线性积分方程进行求解。
The nonlinear boundary value problem of the corrugated diaphragm reduces to the nonlinear integral equations by applying the method of Green's function.
针对这一优化问题，通过引入非线性互补问题函数，将原优化问题转化为非线性方程组，并采用半光滑牛顿法进行求解。
By introducing nonlinear complementarity problem function, the original optimization problem is transferred equivalently to a set of nonlinear equations and solved by semi-smooth Newton method.
利用边界层函数法研究了一类非线性三阶微分方程的奇摄动边值问题。
Use the method of boundary layer functions to study the singularly perturbed boundary value problem for a kind of third order nonlinear differential equations.
本文主要运用锥不动点定理和格林函数研究二阶非线性常微分方程组正解的存在性。
In this paper, we study the existence of positive solutions to second - order nonlinear ordinary differential equations by using fixed point theorem in cones and Green's function.
同时发现动力学系统中的非线性函数项（或非线性元件）能够发生跳跃随机性和产生跳跃随机曲线，以使电路的状态轨迹达到与约束方程相容的状态。
The analysis also shows that the nonlinear terms in the dynamic system equations cause the stochastic state to jump so that the circuit state can reach compatibility with the constraint equations.
运用Leray - Schauder不动点定理和Luapunov函数，研究了一类三阶非线性微分方程概周期解的存在性。
Solutions for a class of third order nonlinear differential equations are studied by using the Leray Schauder fixed point theorem and the method of Liapunov function.
利用凝聚函数一致逼近非光滑极大值函数的性质，将非线性互补问题转化为参数化光滑方程组。
By using a smooth aggregate function to approximate the non-smooth max-type function, nonlinear complementarity problem can be treated as a family of parameterized smooth equations.
该方法是基于最小相位滤波器的复倒谱系数和其群迟延函数以及其系统函数之间的关系，通过一个非线性的递归方程求解分母多项式的系数。
Based on the relationship between the group delay function and the cepstral coefficients, the denominator polynomial coefficients can be determined through a nonlinear recursive difference equation.
光学双稳态的调制函数和反馈函数构成一组非线性方程。
Bistable optical devices modulating function and clectro- optical feedback function are a group of non- linear equation.
用双曲函数法，成功得到了非线性浅水长波近似方程组的精确孤立波解。
We successfully derived some exact solitary wave solutions of the nonlinear approximate equations with long waves in shallow water by using the hyperbola function method.
另一类变量与向量函数呈非线性关系。 对于后一类变量，用弃舍随机方法先给出位置初值，然后将问题化为线性最小二乘问题，直接解超定方程组。
The overdetermined equations can be solved directly by using the rejection method to give the initial value of the position first and then converting the problem into a linear—square one.
非线性函数的最小二乘法拟合曲线需要求解一个非线性方程组。
It is necessary to solve a system of nonlinear equations for fitting the curve of nonlinear function by use of the least square method.
文中利用某类函数，得到了一类非线性散度型方程及方程组古典解的局部估计。
In this paper, the local estimates for the classical solutions of a class of equations and systems in divergence form is obtained by certain kind of function.
还导出了用于非线性分析的样条函数线法增量方程；
The increment equations of the spline function method of lines are also given out for analyzing the nonlinear problem.
利用染色函数解法求解膛内弹上气室气流的一阶非线性分段微分方程组，进行了大量的数值试验，证实数值解是收敛的，也是稳定的。
The numerical solution of chromosome-function was applied for a lot of first order differential equations for the chamber on the projectile in bore of a gun.
采用引进具有二阶连续可微的辅助函数，将非线性不等式组转化为非线性方程组，然后利用牛顿迭代法对非线性方程组进行求解。
In is established the equivalence between the nonlinear inequalities with nonlinear equations by using auxiliary function, a descended Newton algorithm is proposed.
当介质的导热系数是温度的函数时，热传导方程是非线性偏微分方程，作者采用基尔霍夫变换把它变成拉普拉斯方程，于是可以找到原问题的近似解析解。
The nonlinear equation of heat conduction is transformed into a Laplace's equation by applying the Kirchhoff transformation, and an analytic approximate solution of the equation is derived.
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