Through preliminary analysis, thorough study and elaborate deduction, the author elucidated the necessity of replacing constant C with function c(x) in solving linear ordinary differential equation of the first order.
文章通过初步说明、深入研究、精确推导三个层次 ,说明了一阶线性常微分方程的常数变易法中把任意常数 C变易成函数 u( x)的内在必然
We discuss the first order linear differential equations with constant coefficients and give a new vector method of it.
讨论一阶常系数线性微分方程组通解问题,给出一种新的向量解法。
The solution of first order ordinary differential equation with the integral factor of a product form
一阶常微分方程具有一种乘积形式积分因子的求解
Existence and application of two integrating factors on first order ordinary differential equation
探讨一阶常微分方程两种积分因子的存在性及其应用
Essentially,the opposite reaction kinetics process is a process of resolving the first order ordinary differential equation.
对峙反应动力学过程,其实质是一个求解一阶常微分方程的过程。
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
A Note on the Solution to a First-order Linear Ordinary Differential Equation
关于一阶线性常微分方程解法的一个注
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 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
Existence and Uniqueness of Periodic Solutions for Second Order Ordinary Differential Equations;
非线性二阶常微分方程周期解的存在唯一性
The General Solution of One Kind of 3-order Variable Coefficients Linear Ordinary Differential Equation;
一类三阶变系数线性常微分方程的可积性
The Existence of Positive Solutions of a Third Order Quasilinear Differential Equations
一类三阶拟线性常微分方程正值解的存在性
A Sufficient And Necessay Condition For Integrability Of Two-order Linear Differential Equation;
二阶线性常微分方程可积的一个充分必要条件
A New Vector Method of the First Order Linear Differential Equations with Constant Coefficients
一阶常系数线性微分方程组的另一种向量解法
A General Solution of Second-Order Variable Coefficients Linear Ordinary Differential Equation;
一类二阶变系数线性常微分方程的通解
A Method to Solve Particular Solution for a Linear Differential Equation of Order n With Constant Coefficient;
一类n阶常系数线性微分方程特解的求法
Extended Integrable Type for the First order Nonlinear Differential Equation;
一阶非线性常微分方程可积类型的推广
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
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
The Solution to a Series of the Order 1 Nonlinear Differential Equations
一类一阶非线性微分方程的求解方法
A Consistent Method for Getting Special Solutions of Common Two Order Linear Non-homogenous Differential Equations;
常见二阶常系数线性非齐次微分方程特解求法的统一
Existence Conditions of Integrating Factors for First Order Ordinary Differential Equations
一阶常微分方程积分因子存在性条件