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。
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。
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。
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。
Classical mathematical equations is the large number of second-order linear partial differential equations.
经典的数理方程大量的是二阶线性偏微分方程。
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时滞微分方程解的振动性质，建立了三个新的振动性定理。
In this paper, we study an approximate solution of the second-order linear ordinary differential equations with variable coefficients.
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。
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。
The governing equations for the problem is modified into a second-order nonlinear differential system with two infinitesimal parameters and a double parameter multiple scale method is presented.
将该问题的基本方程化为具有两个小参数的二阶非线性方程组，并在双参数摄动法和单参数多重尺度法的基础上提出了双参数多重尺度法。
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.
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。
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.
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。
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 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.
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。
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 hydrogenation reaction of co and CO2 to synthesize methanol is a multiple reaction system. The distributions of concentrations are described by second order ordinary differential equations.
由CO、co_2加氢合成甲醇的反应是一个复合反应体系，其催化剂颗粒内的浓度分布的表征方程为二阶常微分方程组。
The mathematical model describing the profiles of concentration in the cylindrical catalyst is the nonlinear partial differential equations of second order.
在圆柱状催化剂内的浓度分布的表征方程为二阶偏微分方程组。
In this paper a new oscillation criterion for second order nonlinear differential equations was established.
本文建立了一类带偏差变元的偏微分方程边值问题解的振动准则。
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.
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。
By using fixed point index theory in a cone, we study the existence of positive solutions of boundary value problems for systems of nonlinear second order singular differential equations.
使用锥上拓扑度理论，研究二阶非线性奇异微分方程组两点边值问题正解的存在性。
The oscillation of a class of second-order nonlinear functional differential equations is discussed, and some new oscillation criteria for the equations are obtained.
讨论了一类二阶非线性泛函微分方程的振动性，得到一些新的振动准则。
The oscillation of a class of second-order nonlinear functional differential equations is discussed, and some new oscillation criteria for the equations are obtained.
讨论了一类二阶非线性泛函微分方程的振动性，得到一些新的振动准则。
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