研究了间断非线性常微分方程奇摄动泛函边值问题。
The singularly perturbed functional boundary value problems for the discontinuous nonlinear ordinary di? Erential equations are considered.
本文研究了二阶变系数线性常微分方程的一种近似求解方法。
In this paper, we study an approximate solution of the second-order linear ordinary differential equations with variable coefficients.
该方法对非齐次项属于该类函数的线性常微分方程行之有效。
This method is effective for linear ordinary differential equations whose non-homogeneous term belongs to the set described above.
提出一种求解非线性代数方程和非线性常微分方程的新方法。
A new approach for solution of nonlinear algebraic and differential equation sets was presented.
提出一阶非线性常微分方程新的可积型，且给出其通解的参数形式。
Proposed a new form of non-linear first-order ordinary differential equation, meanwhile, it shows the parameter form of universal solution.
本文研究串激电机运行中出现的三阶非线性常微分方程的稳定域问题。
This paper approaches with the problem of stable area in ordinary nonlinear third-order differential equations, which appears during the operating process of the series motor.
本文对几类二阶非线性常微分方程，利用首次积分求得了其通积分公式。
This paper has found general integral formulas of some types of two - order nonlinear ordinary differential equations by first integral.
利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
本文研究当极限方程有奇性时四阶线性常微分方程的柯西问题解的渐近式。
This paper studies the asymptotic expression of solution of Cauchy's problem for a forth order equation when the limit equation has singularity.
本文给出关于二阶非线性常微分方程和时滞微分方程的一些新的振动准则。
This paper discusses the oscillation of second order nonlinear ordinary differential equations and delay differential equations. Some new oscillation criteria for the equations are obtained.
摘要利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
得到了描述球壳内表面运动的二阶非线性常微分方程，并给出了方程的首次积分。
A second_order nonlinear ordinary differential equation that describes the radial motion of the inner surface of the shell was obtained. And the first integral of the equation was then carried out.
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.
在小变形情况下，运用伽辽金方法，可将偏微分方程转换为线性常微分方程组进行求解。
A set of linear ordinary differential equations in the case of sm all deflections is determined by application of the Galerkin's method.
用首次积分法，讨论了带奇异边界条件的非线性常微分方程解的存在性、不存在性和唯一性。
By the first integral method, the existence, uniqueness and nonexistence of solutions for some nonlinear ordinary differential equations with singular boundary condition are discussed.
研究一类二阶线性常微分方程，给出了所述方程分别在几种边界条件下的格林函数和惟一解的表达式。
We give exact expressions of the unique solutions for the linear boundary problems by the Green's functions.
受控系统的运动设为变系数线性常微分方程组所描述，而系统的终点状态是相空间内的某一凸性区域。
We assume that the motion of controlled object is describedby linear ordinary differential equations with variable coefficient, and the final states ofthe system form a convex region of phase space.
给出了变系数二阶齐次线性常微分方程的一种积分形式解和几类变系数二阶齐线性常微分方程的普遍解。
The solutions of interal form and the general solutions of some second order homogeneous linear differential equations with variable coefficient are given.
提出了一种求解一类非齐次线性常微分方程的精细积分方法，通过该方法可以得到逼近计算机精度的结果。
Precise integration method for a kind of non-homogeneous linear ordinary differential equations is presented. This method can give precise numerical results approaching the exact solution.
探讨了某些特殊类型二阶变系数齐次线性常微分方程的解与系数的广义关系，尝试了从理论上给出通解的一般形式和特解的系数决定式。
The thesis analyzes the relationship between Wronsky determinant and linear equation relativity of function in order to get the common solution determinant of linear differential coefficient equation.
利用常微分方程组理论在较一般条件下求出了线性有阻尼多自由度振动系统对任意外激励的精确响应。
Exact response of damped linear vibrating systems to arbitrarily excitation is obtained according to theory of ordinary differential equations.
最后给出了一些数值例子，证实了这个分数阶线性多步法是解分数阶常微分方程的一个有效方法。
Finally, some numerical examples are provided to show that the fractional order linear multiple step method for solving the fractional order ordinary differential equation is an effective method.
对于整数阶常微分方程的数值解法，如欧拉法、线性多步法等都已有较完善的理论。
Numerical method of integral order ordinary differential equation, for example, Euler method, linear multiple step method, and so on, has had quite perfect theories.
本文通过理论推导，证明在反应动力学常微分方程参数估值中所采用的拟线性化法在本质上仍然属于高斯—牛顿法的范畴。
This paper proves that the quasilinearization method for parameter estimation of ordinary differential equation in chemical reaction kinetics essentially belongs to the region of Gauss-Newton method.
该模型的数学形式是一个非线性二阶常微分方程，利用有限差分方法进行求解。
The mathematical expression of this model is a second order non linear ordinary difference equation.
研究一类非线性四阶常微分方程两点边值问题，得到一个存在唯一性定理。
The uniqueness and existence theorem for a nonlinear fourth-order boundary value problem is established.
机翼的运动方程可以写成四维一阶常微分方程，取广义气流速度和线性俯仰刚度作为分岔参数。
The monition equations of airfoil are written as the four dimensional first order differential equations. Taking airspeed and the linear part of pitching stiffness as the bifurcation parameters.
本文导出的动力学控制方程是高度非线性的STIFF常微分方程组。
The dynamic equations developed in this paper are a set of highly nonlinear STIFF ordinary differential equations.
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.
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.
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