To find a particular solution of a linear ordinary differential equation with constant coefficients,in which,the nonhomogeneous part f(x) is a polynormial;an exponential function;a sine or cosine function or a production of them,a finite recursive method is presented in this paper.
对于非齐次项为多项式,指数函数,正(余)弦函数,或它们的乘积形式的常系数线性常微分方程,提出了求其特解的有限递推法。
The exact solution to a class of nonlinear ordinary differential equation and its approximate solution;
一类非线性常微分方程的精确解及其近似解
Then we efficiently solve the two point boundary value problem of nonlinear ordinary differential equation discretized by finite element method in small areas which is divided by domain decomposition method.
文章提出了改进的郭涛算法,并运用该算法解区域分裂、有限元离散之后的非线性常微分方程两点边值问题。
The second-order nonlinear ordinary differential equation that describes the motion about the radial direction of the inner-surface of the shell is obtained.
得到了描述圆柱壳内表面径向运动的二阶非线性常微分方程。
The paper introduces basic sets of solutions for nonhomogeneous linear ordinary differential equations and proves that the general solutions of such equations consist of all convex linear combinations of any basic set of solutions.
引进了非齐线性常微分方程的基本解组,证明了非齐线性常微分方程的通解由其基本解组的所有凸线性组合构成,由此给出了非齐线性常微分方程通解的又一表达形式。
WT5BZ]By the first integral method and properties of integral depending on a parameter, the necessary and sufficient condition on the existence of dead core solution for the boundary value of a class of nonlinear ordinary differential equations has been specifically constructed.
应用首次积分法并结合含参变量积分的性质 ,具体构造了一类二阶非线性常微分方程边值问题存在非负死角解的充分必要条
The existence of explosive solutions is obtained for a class of second order nonlinear ordinary differential equations.
得到了一类二阶非线性常微分方程爆破解的存在性。
An approximate analytic method for solving nonlinear equations decomposition method, has been developed in recent years, and its application in nonlinear ordinary differential equations are described briefly.
简要介绍近年新发展的一种非线性方程近似解析算法——分解法及其在非线性常微分方程中的应
In this paper,the authors use the methods in [1,2] to study the solutions of two point boundary value problems for nonlinear fourth order differential equation with the boundary conditions where functions f,g and h are continuous functions with certain monotone conditions.
利用上下解的方法[1，2]，讨论了非线性四阶常微分方程（*）满 足 边 界 条 件的两点边值问题的解，其中函数均为具有某种单调性质的连续函数。
In this paper,the authors use the methods in[1,2]to study the existence of solutions of two point boundary value problems for nonlinear fourth order differential equation y (4) =f(t,y,y′,y″,y)with the boundary conditions y(a)=a 0,y′(a)=a 1,g(y″(a),y(a))=0,h(y(c),y′(c),y″(c),y(c))=0,where functions f,g and h are continuous functions with certain monotone conditions.
利用上下解的方法［１，２］ ，讨论了非线性四阶常微分方程ｙ（４） ＝ ｆ（ｔ，ｙ ，ｙ′，ｙ″，ｙ）（ ＊ ） 满足边界条件：ｙ（ａ） ＝ ａ０ ，ｙ′（ ａ） ＝ ａ１ ，ｇ（ｙ″（ａ） ，ｙ（ａ）） ＝ ０ ，ｈ（ｙ（ｃ） ，ｙ′（ｃ） ，ｙ″（ｃ） ，ｙ（ｃ）） ＝ ０ 的两点边值问题解的存在性，其中函数ｆ，ｇ ，ｈ 均为具有某种单调性质的连续函
linear ordinary differential equation of first order
一阶线性常微分方程
inhomogeneous linear ordinary differential equation
非齐次线性常微分方程
The Oscillation of Second Order Half - linear Ordinary Dif ferential Equations
一类二阶半线性常微分方程的振动性
The Integrability of the n-order Variable Coefficients Linear Ordinary Differential Equation
n阶变系数线性常微分方程的可积性
The Positive Solutions for High-Order Nonlinear Ordinary Differential Systems;
高阶非线性常微分方程组的正解问题
Integral Criterion of One Kind of New Nonlinear Differential Equation;
一类新非线性常微分方程的可积判据
Oscillation and Nonoscillation of Second-Order Half-Linear Differential and Impulsive Differential Equations;
二阶半线性常微分方程和脉冲微分方程的振动性与非振动性
The Existence and Continuance of the Positive Solution of Non-linear Constant Differential Equation;
一类非线性常微分方程正解的存在性与渐进性
Precise integration method for sensitivity analysis of linear ODEs
线性常微分方程灵敏度分析的精细积分法
PROBLEM OF STABILITY IN AN ORDINARY NONLINEAR DIFFERENTIAL EQUATION
一类非线性常微分方程组的稳定性问题
The Existence of Positive Solutions for a Class of Fourth Order Quasilinear Differential Equations;
一类四阶拟线性常微分方程正值解的存在性
Solvability of Boundary Value Problem for Several Classes of Nonlinear Ordinary Differential Equations;
几类非线性常微分方程边值问题的可解性
Some Researches in Nonlinear Order Differential Equations;
几类非线性常微分方程解的性态的研究
Stability of Bounded Variation Solutions to Homogeneous Linear Ordinary Differential Equations;
齐次线性常微分方程有界变差解的稳定性
linear differential equation with constant coefficients
常系数线性微分方程
A Method of Constant Variation for solving Two Kinds of Nonlinear Differential Equation
解两类非线性微分方程的常数变易法
On the Method of OperatorSolutions of the Linear Ordinary Differential Equations with Constant Coefficient;
高阶常系数线性微分方程的算子解法
A Computational Formula for the Particular Solution of One Sort of Differential Equation with Constant Coefficient;
一类常系数线性微分方程的特解公式