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.
应用非线性泛函分析的理论和方法研究了一类二阶线性微分方程，证明了周期衰减解的存在性。
The second-order nonlinear differential equations are studied and the existence of the periodic degenerate solution is proved with the principle of the functional analysis.
研究了一类整系数二阶线性微分方程解的幂和导函数的不动点和超级等问题，得到了一些精确的估计。
By using the factorization of meromorphic functions and the growth estimation of the modual, we obtain precise estimation of the order of growth and hyper-order of solutions of the equations.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
经典的数理方程大量的是二阶线性偏微分方程。
Classical mathematical equations is the large number of second-order linear partial differential equations.
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.
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.
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.
用黎卡堤变换研究如下二阶非线性脉冲微分方程（ 方程式略）得到了两个判断方程振动的充分条件。
Oscillation of a kind of second order nonlinear differential impulsive equation(The equation is abbreviated), is studied and some sufficient conditions are obtained.
研究了一类二阶非线性摄动微分方程解的振动性质。
This paper is concerned with oscillation property of solutions of a class of second-order nonlinear differential equation with perturbation.
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.
该文获得了一类具有连续偏差变元的二阶非线性偏泛函微分方程的振动性的充分性条件。
In this paper, we study a class of boundary value problems of even order nonlinear neutral partial functional differential equations with continuous distribution delay.
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.
磁控管的温度分布是二阶非线性偏微分方程。
The governing equation of the temperature field of pulse - magnetron is a nonlinear second order partial differential equation .
本文证明了求解周期区域上的二阶线性偏微分方程的一致有效渐近解的正交条件是充分和必要的。
In this paper, We prove that the orthogonal condition to solve the uniform asymptotic solution of second order linear P. D. E in periodic region is the necessary and sufficient condition.
本文证明了求解周期区域上的二阶线性偏微分方程的一致有效渐近解的正交条件是充分和必要的。
In this paper, We prove that the orthogonal condition to solve the uniform asymptotic solution of second order linear P. D. E in periodic region is the necessary and sufficient condition.
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