comparison n. 1.比较,对照;类似。 2.【语法】比较法;【修辞学】比喻。 There is no comparison between the two. 两者无法相比。 bear [stand] comparison with 不亚于,比得上。 beyond comparison 天壤之别;不可相比。 by comparison 比较起来。 Comparisons are odious [odorous]. 不怕不识货,只怕货比货;不和人家比,不显自己臭。 in comparison with 和…比起来。 without comparison 无与伦比。
A comparison principle for nonlinear equations 非线性方程解的比较原理
Using the comparison principle , it is proved that the proposed method is of superlinear convergence 利用比较原理,间接证明该算法是一种具有超线性收敛性的近似牛顿法。
Using the comparison principle , the existence , uniqueness and its asymptotic behavior of solution for the problem are studied 利用比较原理,研究了问题解的存在性,唯一性及其渐近性态。
In section two , we get the boundedness in terms of two measures for impulsive hybrid systems using comparison principle 2主要利用比较方法得到脉冲混合系统的关于两个测度的有界性的比较结果
The authors investigate global properties arid uniform boundedness of impulsive differential equations with variable times using comparison principle 摘要运用比较原理研究了具有可变脉冲时刻的脉冲微分方程解的整体性质,给出了解一致有界的充分条件。
The paper gives some comparison results about practical stability and boundedness in terms of two measures using comparison principle about impulsive hybrid differential systems 本文结合脉冲混合系统的比较原理给出了该系统关于两个测度的实际稳定性、积分稳定性和有界性的比较结果
In the same time , comparison principle establishs the relation between complicated vector systems and simple scalar systems , which makes it possible to get stronger results with fewer conditions 同时,比较原理可以建立复杂的向量系统与简单纯量系统之间的关系,这使得在较少条件下得到较强结果成为可能
Firstly , we investigate the dirichlet problem ' s comparison principle on a bounded subset for this fully nonlinear intergro - differential equation , at the same time we must assume the measure in the intergro - differential item is absolute continuous 首先研究这类完全非线性积分微分方程在有界区域上dirichlet问题的比较原理,此时须假设积分项所涉及的测度是绝对连续的。
Using variational lyapunov method and comparison principle , some results of ultimate stability of perturbed differential systems through the corresponding ultimate stability properties of the unperturbed differential systems and the comparative system are gotten 摘要变分李雅普诺夫函数方法和比较原则相结合,利用无摄动脉冲微分系统和比较系统的最终稳定性性质得到了脉冲摄动微分系统最终稳定的若干结果。
In this paper , we investigate comparison principle for semicontinuous viscosity solutions of fully nonlinear elliptic equation with nonlocal intergro - differential item . this kind of equation is from diffusion process with jumps and has important application in stochastic control and finance mathematics 本文研究一类带有非局部积分项的完全非线性椭圆型方程粘性解的比较原理,这类方程源自带跳跃的扩散过程,在随机控制,金融数学中有广泛而重要的应用。