1) Asymptotic solution
渐近解
1.
Exponentially small term in asymptotic solution of a singular perturbation problem;
关于奇异摄动问题渐近解中的指数小项
2.
The asymptotic solution of a class of nonlinear equation;
一类非线性方程的渐近解
3.
The asymptotic solutions contain no secular term,which overcomes a defect in Khuri s paper.
利用Lindstedt-Poincare摄动法,首先求得一个来源于广义相对论的非线性微分方程的渐近解。
2) asymptotic solutions
渐近解
1.
A new congruence equation and its asymptotic solutions;
一个新的同余方程及其渐近解
2.
The normal form and stable asymptotic solutions of the 3:1 internal resonance of Duffing-Van der Pol cubic nonlinear system are obtained by jointly using the undetermined fundamental frequency method and normal form theory.
通过将待定固有频率法引入规范形求解过程,获得了两自由度立方Duffing-Vander Pol强非线性振动子的规范形及稳态渐近解。
3.
The necessary conditions for exhibiting resonance is given, and the uniformly valid asymptotic solutions and the estimations of remainder terms are obtained.
研究带转点的三阶常微分方程 εy +f(x ;ε)y″+g(x ;ε)y′+h(x ;ε)y =0 , ( -a渐近解和余项估
3) asymptotically decouple
渐近解耦
4) asymptotie theory
渐近近似解
1.
This paper is devoted to studying the asymptotie theory of initial value problems for a semilinear perturbed telegraph equation.
作为浙近理论的应用，我们对一个带初问题的特殊电报方程进行了研究，得到了两个|ε|(-1)阶渐近近似解。
5) integral and asymptotic expansion
积分/渐近解
6) asymptotically periodic solution
渐近周期解
1.
We study the periodic solutions and the asymptotically periodic solutions of difference equations with continuous variables, and sufficient conditions for the existence of periodic solutions and asymptotically periodic solutions are obtained.
研究了具连续变量的差分方程的周期解和渐近周期解,并分别获得了周期解和渐近周期解存在性的几个充分条件,我们的结果推广了Agarwal等人的相应结果。
补充资料：渐近稳定解
渐近稳定解
asymptotically - stable solution
渐近稳定解[asymp咖回ly一stable sduti佣;~"ror卜，ee姗ycro曲，栅e peoe“。el 一个微分方程组的解，它在月刃乃旧oB意义下是稳定的(见加.lyl舰旧稳定性(Lyapunov stability))，并且吸引具有足够接近的初始值的一切其他解.例如，考虑方程组 卒二f(r.，、‘。 a了J、右边的函数f(:，考)对于一切:):，考任R”有定义，并使得方程组(*)的解存在而且是唯一的.这时，方程组(*)的解 x(;，乱)，x(:，乱)=老。是渐近稳定解，如果这个解同一切与其足够接近的解 x(:，句，}若一蜀}
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参考词条