二阶常微分方程的英文

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英文翻译
造句

second order ordinary differential equation

二阶 second order
常 ordinary; common; normal
常微分方程 gewoehnliche differentialgleichungen ordinary differential equations; ordinary differentical equations
二阶常系数齐次线性微分方程 second order homogeneour linear differential equation with constant coefficient
常微分方程式 problem of ordinary differential equation
常微分方程组 system of ordinary differential equations
二阶微分方程 second order differential equation; second-order differential equation
常微分方程补充 often differential equation complementary
常微分方程次数 degree of ode
常微分方程求解 ode solver
初等常微分方程 elementary ordinary differental equation; elementary ordinary differential equation
级数与常微分方程 series and ordinary differential equations
联立常微分方程 simultaneous ordinary differential equation
线性常微分方程 linear ordinary differential equation; ordinary linear differential equation
二阶微分方程组 second-order differential system
二阶线性微分方程 second order linear differential equation
常微分方程边值问题 boundary value problem of ordinary differential equation; boundary value problem ofdinary differential equation; bvp
常微分方程变换群理论 transformation grouthenary differential equation; transformation groutheory in ordinary differential equation
常微分方程初值问题 initial value problem of dinary differential equation; initial value problem of ordinary differential equation
常微分方程单步法求解 single-steode solver
常微分方程的初值问题 initial value problem of ordinary differential equation
常微分方程定性理论 qualitative theory of ordinary differential equation
常微分方程多步法求解 multi-steode solver
常微分方程刚性求解 stiff ode solver
常微分方程解析理论 analytic theory of ordinary differential equation

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例句与用法

The quasi - weak convergence in c [ a , b ] is studied and applied to the boundary - value problems in the nonlinear ordinary differential equations without the assumption of the continuity , compactness and convexity
摘要研究了连续函数空间中凹（凸）函数列的拟弱收敛性，并应用于没有连续性紧性和凹凸性假定的二阶常微分方程的边值问题。
Under a certain condition , the existence of the unique solution of the boundary value problem for a class of nonlinear second order ordinary differential equation systems is improved in this paper , and their solving process is also given
摘要证明了一类非线性二阶常微分方程组边值问题在一定条件下存在唯一的解并且给出了解的求法。
By means of variational structure and z2 group index theory , we obtain multiple solutions of boundary value problems for second - order ordinary differential equations and lower bound estimate for number of the solutions
摘要本文利用变分原理和z2不变群指标研究了一类二阶常微分方程奇异边值问题的多重解，得出了这类解个数的下界估计。
The existence of solutions for two - point boundary value problem subject to nonlinear second order differential equation is studied by many methods , such as iterative method , lower and upper solutions method , degree theory , critical theory and etc
非线性二阶常微分方程两点边值问题解的存在性的研究方法有很多，如迭代法、上下解方法、度理论、临界点理论等。
In this paper , we construct c0 finite elements for second - order ordinary differential equations and second - order hyperbolic equations in time , and at the nodes and some characteristic points several new superconvergence results are derived
本文为二阶常微分方程及二阶双曲型问题的时间方向构造了c ~ 0有限元，在节点及单元内部的一些特征点上获得了超收敛结果。
This paper is concerned with uniqueness of positive solutions to three classes of two - point boundary value problems of ordinary differetial equations . the argument is based on the shooting methord together with the sturm ' s comparison theorem . the main results are as follows : 1
本文运用打靶法及sturm比较定理讨论了三类二阶常微分方程两点边值问题正解的惟一性(如果存在) ，主要结果有：一
For the class of nonlinear second order ordinary differential equations ( odes ) , we firstly consider one of their special one - dimensional forms , and then prove the existence of solution to its two - point boundary value problem in the light of prior estimate and schauder fixed point theorem . we also show the exact solutions for the special equations as an example and plot the numerical solutions by mathematica
对于这类非线性的二阶常微分方程，我们首先考虑其一维的特殊的形式，运用先验估计，进而利用schauder不动点定理，证明了其两点边值问题解的存在性，并给出具体方程的解作为例子，然后用mathematica作出数值解的图。
This paper is divided into two sections : section 1 : in ref [ 1 ] , 2 - order ordinary differential initial value problems have the following the superconvergence results and the two - point boundary value problems with singular coefficients have the following the superconvergence results therefore , we have convergence results at the nodes of the linear interpolation for 2 - order ordinary differential initial value problems with singular coefficients section 2 : in ref [ 13 ] , the intensity ( e ) of the electric field in the emission of laser satisfies the nonlinear schrodinger equation it changes to ( 0 . 1 . 4 ) with the 2 - order ordinary differential problem with singular coefficients through evolution and by using the special solution in this paper , we only discuss the 2 - order ordinary differential initial value problems with singular coefficients
本文主要讨论了带奇异系数的二阶常微分方程初值问题的有限元解，并在此基础上研究了激光传输孤波初态的数值模拟。本文分成两部分：第一部分：在文献[ 1 ]中描述了二阶常微分方程初值问题的超收敛结果和带奇异系数的两点边值问题的超收敛结果在此基础上，我们得到了带奇异系数的二阶常微分方程初值问题在节点处线性插值时的有限元解的收敛性第二部分：在文献[ 13 ]中提出了激光的发射机理，其中它的电场强度