用泛函的方法研究一类二阶微分方程周期解的存在性。
We studied a class of two order differential equations by means of the functional method.
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。
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.
将牵引车的传动系简化为一个2自由度的扭转振动系统，并以二阶微分方程描述。
The driveline for a tractor vehicle is simplified as a 2-DOFs(degree of freedom)torsional vibration system, and is described as a second-order differential equation.
后者由于把一个二阶微分方程的求解转化成为两次积分问题，也使计算过程简化。
For the latter, since we transform the problem to seek to solve the second order differential equation into that of twice integrations, the calculating process is also simple.
本文利用整体反函数理论，研究了半线性二阶微分方程周期边值问题，给出了周期解存在唯一性的充分条件。
The existence and uniqueness about semilinear second-order differential equation are established by using global inverse function theorems.
为了求解钢筋与混凝土间滑移量，对黏结滑移基本方程进行了分析，导出了黏结应力-局部滑移相互关系的二阶微分方程。
In order to study the slip between rebar and concrete, the fundamental equations are analyzed and the 2nd order differential equation of the relation between bond stress and local slip are obtained.
连铸板坯宽面鼓肚对铸坯中心偏析和裂纹有较大影响，为计算板坯宽面鼓肚，按蠕变规律，需解一个三阶微分方程，按弹塑性规律，需解一个二阶微分方程，十分费时。
In order to compute bulging of wide face of continuous cast slab, it is necessary to solve a third order differental equation for creep or a second order one for elastoplastic deformation.
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。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. Three new theorems are established.
讨论了一类二阶强次线性微分方程解的振动性质，获得了三个新的振动性定理，推广和改进了相关文献的结果。
The oscillation for solutions of the class of the second order strongly sublinear differential equation are discussed and three new oscillation theorems are obtained.
考虑用二阶复合型偏微分方程所描述的分布参数系统，研究了它的一个使平方性能指标达到最小值的边界最优控制问题。
Consider the distributed parameter system described by the second order partial differential equation of composed type, we discuss its a boundary optimal control problem with quadratic performance.
建立了二阶具正负系数的非线性中立型微分方程的一个线性化振动性结果。
Established a linearized oscillation result of the second order nonlinear neutral delay differential equation with positive and negative coefficients.
对于二阶变系数线性微分方程来说，这也是可积的一个充分条件。
It is also a sufficient condition for second order linear differential equation with varied coefficient to be integrable.
研究了一类具有混合边界条件的奇摄动二阶积分微分方程边值问题。
This paper studies a class of singularly perturbed two order integral differential equation boundary value problem with mixed boundary conditions.
一种重要的情形是常系数二阶线性齐次微分方程。
An important case is the linear homogeneous second-order differential equation with constant coefficients.
对二阶变系数非线性微分方程的常系数化给出两个使其可积的条件，并举例论证。
The two conditions of the second order nonlinear differential equation with variable coefficient are given and expounded with examples.
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.
本文给出了某些二阶非线性微分方程在周期外力作用下存在调和解的若干定理。
In this paper we prove some theorems on harmonic solutions of some second-order nonlinear equations under a periodic external force.
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.
本文旨在研究求解非凸约束优化问题的基于二阶导数的微分方程方法。
The aim of the dissertation is to study second order derivatives based differential equation approaches to nonconvex constrained optimization problems.
本文给出了数值求解一类偏积分微分方程的二阶全离散差分格式。
In this paper, the second order fully discrete difference method for a partial integro-differential equation is considered.
用孤立不变集和孤立块的概念，给出了含一个参数的二阶常微分方程组的非驻定有界解分支点的存在性准则。
Using concepts of invariable set and isolated cube, we obtained existence for bifurcate points of bounded solutions of second order ordinary differential systems including a parameter.
二阶常系数非齐次线性微分方程的特解一般都是用“待定系数”法求得的，但求解过程都比较繁琐。
In general, special solution of non-homogeneous linear equation of constant coefficient of the second order is obtained by the method of undetermined coefficient, but it's process is too complicated.
采用时间和空间均为二阶精确的有限差分方法，将偏微分方程进行差分化。这样，空间的电磁场可由时间域有限差分法（FDTD）来求解。
The TM set of equations can be solved using a finite difference time domain (FDTD) approximation that is second-order accurate in both space and time.
本文首先给出了一类具有无穷多个周期解的无阻尼二阶线性偏微分方程所描述的系统。
This paper is devoted to study the existence of an infinitude of periodic solutions for a class of second order linear PDE systems without damping.
本文研究一类不稳定型二阶中立型微分方程正解的存在性与有界振动。
In this paper, we study the existence of positive solutions and the bounded oscillation of a class of second order unstable type neutral differential equations.
介绍了二阶线性微分方程的又一种常数变异法。
In this paper, we introduced another method of variation of constant of the second-order linear equation.
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。
With the ordinary theory of Heat Exchange in physics this essay visualizes the essence of second-order homogenous linear partial differential equations.
本文中我们采用扩展混合有限元方法和混合体积元方法数值模拟了二阶拟线性抛物型积分微分方程和二阶拟线性抛物问题。
In this paper , we consider the Expanded Mixed Finite Element Method and mixed covolume method for the quasilinear parabolic integro-differential equation and quasilinear parabolic problem.
本文中我们采用扩展混合有限元方法和混合体积元方法数值模拟了二阶拟线性抛物型积分微分方程和二阶拟线性抛物问题。
In this paper , we consider the Expanded Mixed Finite Element Method and mixed covolume method for the quasilinear parabolic integro-differential equation and quasilinear parabolic problem.
应用推荐