The Newton continuation method for finding the periodic solutions of high order Duffing equations is presented,and it is proved that the improved Newton iterative formula possesses global convergence.
给出寻找高阶Duffing方程周期解的牛顿连续性方法,并证明了改进后的牛顿迭代公式具有全局收敛性。
Research of Periodic Solutions for High Order Duffing Equations;
本文通过方程变换,利用齐次线性微分方程的非平凡周期解与非齐次线性微分方程的周期解之间的关系研究两类高阶Duffing方程周期解的存在性,改进了一些已有结果。
This hierarchy includes not only KdV and mKdV equations but also high-order NLS equation.
该梯队不仅包含了KdV和mKdV方程,还包含了高阶NLS方程。
THE EXISTENCE OF PERIODIC SOLUTIONS FOR A KIND OF HIGH-ORDER DUFFING EQUATIONS WITH SIGN-CHANGING COEFFICIENT AHEAD OF NONLINEAR TERM
一类非线性项前系数可变号的高阶Duffing方程的周期解存在性问题
Periodic Solutions of A Kind of Nonautonomous High Order Delay Duffing Equation
一类高阶非自治的时滞Duffing型方程周期解
The Problem of Periodic Solutions for Second Order Duffing Equation with Deviating Argument;
二阶时滞Duffing型方程周期解存在性问题
The Exsistence of Periodic Solution for Second Order Nonlinear Duffing Equation;
二阶非线性Duffing方程的周期解的存在性
Aubry-Mather Sets of Duffing-type Equations;
Duffing型方程的Aubry-Mather集
The existence of homoclinic orbit of Duffing s equation;
Duffing方程同宿轨的存在性
Aubry-Mather Sets for Semilinear Duffing Equations
半线性Duffing方程的Aubry-Mather集
Study on the Periodic Solutions of a Class of 2nth Order Nonlinear Duffing Equations with Damping;
一类2n阶含阻尼项的非线性Duffing方程周期解的研究
Study on Liénard Equation and Duffing Equation under Nonresonance Condition;
Liénard方程和非共振Duffing方程研究
The Relationships Between Duffing Equations and it's Averaged Equations
Duffing方程解与其平均方程解之间的关系
Periodic Solutions for Superlinear Duffing Qeuations with Impulsive Effects;
具有脉冲的超线性Duffing方程的周期解
Harmonics and Bifurcations of Harmonics and Chaos in Duffing Equation;
Duffing方程的谐波解和谐波解分支及混沌
Almost Periodic Solutions of Nonlinear Duffing Equations with Damping;
带阻尼的非线性Duffing方程的概周期解
The Existence of Periodic Solution of a Duffing Equation with Delay;
一类时滞Duffing型方程周期解的存在性
Almost Periodic Solution of Nonlinear N-Dimentional Duffing Equation;
非线性n维Duffing方程的概周期解
Existence for bounded solution of Durffing perturbation equations;
Duffing扰动方程的有界解的存在性
On Littlewood s Boundedness Problem for Asymmetric Duffing Equation;
一类非对称Duffing方程的Lagrange稳定性
Reaserch on the Approximate Solution to the Perutrbed Duffing Equation in Difference Form
差分形式摄动Duffing方程近似解的研究
