Blow up of solution to the nonlinear hyperbolic equation of higher order and nonlinear parabolic equations of higher order; A linearized alternating direction implicit difference scheme for two-dimensional semilinear parabolic equations 一类非线性高阶双曲型方程与非线性高阶抛物型方程解的爆破性质二维半线性抛物方程的一类线性化交替方向隐格式
Dealing with the measurement outlier by robust particle filter Absolutely Stable Explicit Difference Scheme for Sloving Parabolic Equation of Higher Order 观测值含有粗差的抗差粒子滤波算法高阶抛物型方程恒稳的显式差分格式
Absolutely Stable Explicit Difference Scheme for Sloving Parabolic Equation of Higher Order 高阶抛物型方程恒稳的显式差分格式
In the second chapter, we will study the existence and uniqueness of the local generalized solution to the initial boundary value problem for a class of nonlinear wave equation of higher order. 第二章研究一类非线性高阶波动方程的初边值问题的局部广义解的存在性和唯一性;
Qualitative methods of ordinary differential equation and Liapunov center theorem were used to study the existence of periodic solutions for higher order autonomous Birkhoff systems. 利用微分方程的定性理论和Liapunov中心定理研究高维自治情形Birkhoff系统周期解的存在性。
The linear question of pure bending vibration of a uniform beam will be turned to a nonlinear one if in the differential equation with respect to dynamic deflection the ignored terms of higher order will be again taken into consideration. By use of nonlinear vibration theory. 在讨论梁纯弯曲微幅振动时,考虑在材料力学的讨论中梁的挠度微分方程忽略项后,线性问题变为非线性问题。
In this paper, two classes of reciprocal relationships in non-holonomic mechanics of higher order are presented And they are equivalant, for deriving the field equation and variational principle of non-holonomic mechanics of higher order. 本文给出了高阶非完整系力学中的二种交换关系,证明了关于场方程和积分原理是等价的。
The equation of transient state circuit is described by higher order differential equation or first order differential equation set. 暂态电路的方程由高阶微分方程或一阶线性微分方程组描述,用手工方法求解比较困难。
Time-periodic Problem to a Class of Nonlinear Wave Equation Of Higher Order 一类高阶非线性波动方程的时间周期问题
The compatibility of the difference equation with the partial differential equation and stability of splitting-up algorithm for solution of higher order migration equation are discussed. 本文讨论用分裂算法解高阶偏移方程时所用的有限差分方程与原偏微分方程的相容性和算法的稳定性。
In this paper, oscillations of higher order linear ordinary differential equation with impulses are investigated, and some sufficient conditions about oscillations of higher order linear ordinary differential equations with impulses are obtained. 在文献[1-3]的基础上研究了高阶线性脉冲微分方程振动性态,得到振动解的充分条件,突出了脉冲对解性态的关键性影响。
This paper proves the existence of the time-periodic weak solution for a class of nonlinear wave equation of higher order by means of the critical point theory. 本文利用临界点理论证明一类高阶非线性波动方程时间周期弱解的存在性。
The existence is discussed of a solution for the stationary process ( in a wide sense) of linear stochastic differential equation of higher order with constant coefficients, its necessary and full conditions are treated and an expression for the general solution of the equation is worked out. 本文研究高阶常系数线性随机微分方程的宽平稳过程解的存在性.证明了这种随机微分方程的宽平稳过程通解存在的必要与充分条件,并得出宽平稳过程通解的表示形式。
Using substitution, multiplying factors and integration to demonstrate the synthetical solution of constant coefficient linear differential equation of second order, as well as the application of the synthesis solution in solving the higher order ones are given. 运用代换、乘因子和变上限积分,给出二阶常系数线性微分方程的综合解法,以及此综合解法在求解更高阶常系数线性方程中的运用。
In this paper, a class of singularly perturbed problem for ordinary differential equation of second with higher order turning point is considered. 讨论了一类二阶常微分方程并具有高阶转向点的大参数的奇异摄动问题。
In this paper the solution to the NLS equation including higher-order dispersion and two-photon absorption, the solution for the influence of soliton propagation, as well as higher& order dispersion and two-photon absorption in the fiber amplifiers is discussed in detail. 本文求解了含高阶色散和双光子吸收效应的NLS方程,由此孤子解讨论了高阶色散和双光子吸收效应对光纤放大器中孤子传输的影响。
Based on the hard-spheres model, the new style virial equation of state for hard-spheres with higher order is derived again, and the new pade style expression is also presented. 作者基于硬球模型,重新研究了virial形式的高阶理论状态方程,并给出了新的Pade形式表达式。
Therefore, the coefficients of the trend surface of high power are to be calculated. The polynomical trend surface equation of higher order may be obtained as well. 优化后的曲面拟合方法降低了中间计算结果中坐标值的方次,因而计算出高阶趋势面系数时精度较高,也可以得到较高的多项式趋势面方程。
A Class of Semi-Implicit Difference Schemes for Schrodinger Type Equation of Higher Order 高阶Schrodinger方程的一类半隐式差分格式
New method of extracting the particular solution nonhomogeneous linear differential equation of the first order is obtained with higher order derivative. 巧妙地利用高阶导数,给出了求一阶非齐次线性微分方程的特解的新方法。
There are two different approaches to increase the order number of the single step method for solving ordinary differential equation initial value problems. The first is with the help of higher-order derivatives, while the second is by calculating the function values at intermediate points. 提高求解常微分方程初值问题一步法的阶数有两种途径,一种是通过增加使用导数的阶数来提高方法的阶数;
The structural theory of the solution of linear differential equation of higher order is rather perfect, but there is not any efficient method to obtain special solution by now. 高阶线性微分方程解的结构理论已很完善,但对一般变系数线性齐次微分方程至今尚未见到探求特解的有效方法。
Through the analysis for the TM mode, TE mode, and the electromagnetic wave dispersion equation of higher order modes, we get the conclusion that TE mode does not exist in the metal nanowires. 通过对金属纳米线中TM模式,TE模式以及高次模式的电磁波的色散方程推导分析,得到TE模式的电磁波在金属纳米线中是不存在的结论。