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1)  pantograph differential equation
比例尺微分方程
1.
This paper deals with the stability properties of the analytic and numerical solutions of nonlinear systems of pantograph differential equations with many delays.
获得了比例尺微分方程稳定及渐近稳定的充分条件,同时研究了隐式欧拉方法的稳定性质。
2)  multi-pantograph equation
多比例延迟微分方程
1.
This paper is concerned with the stability of Rosenbrock methods with variable stepsize applied to multi-pantograph equation y′(t)=λy(t)+lk=1μ_ky(q_kt),λ,μ_k∈C,0<q_l<…<q_2<q_1<1.
主要讨论了用一类变步长Rosenbrock方法求解多比例延迟微分方程y′(t)=λy(t)+∑lk=1μky(qkt),λ,μk∈C,0
3)  nonlinear pantograph equation
比例延迟微分方程
1.
This paper deals with the numerical stability of implicit Euler method for nonlinear pantograph equation in which constant stepsize and variable stepsize are applied.
讨论非线性比例延迟微分方程隐式Euler法的数值稳定性,其中步长采用定步长和变步长两种方式。
4)  Stochastic pantograph delay equation
随机比例延迟微分方程
5)  engineering scale
工程比例尺
6)  linear system of pantograph equation
线性比例延迟微分方程组
1.
The asymptotic stability of Rosenbrock methods with variable stepsize for the linear system of pantograph equation was discussed, and it is shown that strictly stable at infinity Rosenbrock method with variable stepsize can preserve the asymptotic stability of underlying linear system.
讨论用一类变步长Rosenbrock方法求解线性比例延迟微分方程组的渐近稳定性,证明了在无穷远点严格稳定的变步长Rosenbrock方法能够保持原线性系统的渐近稳定性。
补充资料:比例


比例


  表示数量之间的关系和两个比相等的式子。在医学统计中广泛应用。
  
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