We studied a class of two order differential equations by means of the functional method.
用泛函的方法研究一类二阶微分方程周期解的存在性。
We mainly study the existence and multiplicity of solutions to high-order differential equations in this paper.
本文主要研究高阶微分方程周期边值问题解的存在性与多重性。
The main contents of first chapter are several difference schemes of first-order and second-order differential equations.
第一章有限差分方法主要内容是一阶和二阶的两点式、三点式和五点式差分方案。
Separable variables are a special class of first order differential equations, which has a wide range of USES in practice.
可分离变量的一阶微分方程是一类特殊的一阶微分方程，它在实际中有着广泛的用途。
In cylindrical helical coordinates, generalized magnetohydrodynamic (MHD) equations are reduced to four first order differential equations.
采用柱螺旋坐标系，把广义磁流体力学方程组简化为四元一阶微分方程组。
In unsolved derivative first-order differential equations, this paper is based on Lagrange equation and Clairaut equation, and popularizes them.
另一种是在未解出导数的一阶方程中，在拉格朗日方程、克策洛方程解法的基础上更加广泛的推广。
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.
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。
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。
By combining various orders of homogenized non-Fourier heat conduction equations, the reduced time dependence is eliminated and the fourth-order differential equations are derived.
合并不同阶的均匀化非傅立叶热传导方程，消去缩小时间尺度参数，得到四阶微分方程。
By using fixed point theory, in this paper we study the existence of triple positive solutions for a class of second-order differential equations with integral boundary conditions.
运用不动点定理，研究了一类带积分边界条件的二阶微分方程三个正解的存在性。
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.
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。
By means of variable substitution and iterative method, this paper puts forth some new higher-order differential equations, and gives their formula of reduction of integrals to common denominator.
借助变量代换、迭代等方法，提出几类新的高阶常微分方程，给出其相应的通积分公式。
From the theory of conical shells, a set of the first-order differential equations for the shells of revolution are derived. The discrete-variable method is used to solve the differential equations.
从锥壳理论出发，导出计算旋转壳自由振动的一阶微分方程组，采用离散变量法进行求解。
In order to solve the two differential-difference equations, a systematic algebraic algorithm is given.
为了求解这两个微分差分方程，给出一个系统的代数算法。
This paper deals with the problems on the existence and uniqueness of bounded solutions and almost periodic solution for third order nonlinear differential equations with time lag.
研究具时滞的三阶非线性微分方程，利用变量替换和不动点方法，得到了此方程有界解和概周期解的存在性及唯一性结果。
In this paper, we study oscillation and asymptotic behavior of solutions of higher order nonlinear differential equations, and give necessary and sufficient conditions for oscillation.
在本文中，研究了高阶非线性微分方程的振动性与渐近性，给出了振动的充要条件。
Use the method of boundary layer functions to study the singularly perturbed boundary value problem for a kind of third order nonlinear differential equations.
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。
Following the theory on characteristics of first order quasi-linear partial differential equations, classification of the balance equations for two-phase flow in interior ballistics is discussed.
根据一阶拟线性偏微分方程组的特征理论，讨论内弹道两相流方程组的类型。
Second order partial differential equations were given. They were solved by one-dimension method and analytical solutions for magnetic field and eddy current were obtained.
列出二阶偏微分方程，采用一维方法求解得到了磁场、涡流的解析表达式。
The hyper order, the exponent of convergence and the hyper-exponent of convergence of zeros of solutions for some types of K-order linear differential equations with entire coefficients are discussed.
研究了几类K阶整系数线性微分方程解的超级、零点收敛指数和零点超收敛指数，得到一些精确的结果。
The solutions of interal form and the general solutions of some second order homogeneous linear differential equations with variable coefficient are given.
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。
In this paper, we investigate growth problems of solutions of a type of homogeneous and non-homogeneous higher order linear differential equations with entire coefficients of iterated order.
本文研究一类高阶线性齐次与非齐次迭代级整函数系数微分方程解的增长性问题。
Sufficient conditions are established for the oscillation of systems of second order partial differential equations with functional arguments.
建立了具泛函变元的拟线性偏微分系统解振动的充分条件。
In part II, by the same way, we consider first-order impulsive differential equations with integral boundary value problems.
在第二部分中，同样的方法，我们讨论了一阶脉冲微分方程积分边值问题。
The statistical average values of some relevant operators satisfy a set of differential equations of the first order.
有关算符的统计平均值随时间的演化满足一个封闭的一阶线性微分方程组。
Objective to investigate characters of the solution to first order impulsive differential equations with piecewise constant arguments.
目的研究一阶具有分段常数变量的脉冲微分方程的解的性质。
With the ordinary theory of Heat Exchange in physics this essay visualizes the essence of second-order homogenous linear partial differential equations.
本文利用物理学中常见的热传导理论，形象地阐释了二阶齐次线性偏微分方程的本质。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. Three new theorems are established. The results generalize and improve some known ones.
讨论了一类二阶强次线性时滞微分方程解的振动性质，建立了三个新的振动性定理。推广和改进了已知的一些结果。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. Three new theorems are established. The results generalize and improve some known ones.
讨论了一类二阶强次线性时滞微分方程解的振动性质，建立了三个新的振动性定理。推广和改进了已知的一些结果。
应用推荐