2) color contrast principle
比色原理
3) comparison principle
比较原理
1.
A comparison principle is given so that the existence of periodic solutions to the system =φ(y),=-h(x,y)φ(y)-g(x) can be obtained by means of the existence of periodic solutions to the system =φ(y),=-f(x)φ(y)-g(x).
证明了一个比较原理，使得方程ｘ＝φ（ｙ），ｙ＝－ｆ（ｘ）φ（ｙ）－ｇ（ｘ）的周期解存在性定理可以用来判断系统ｘ＝φ（ｙ），ｙ＝－ｈ（ｘ，ｙ）φ（ｙ）－ｇ（ｘ）的周期解的存在性。
2.
This is done using the comparison principle and establishing iteration schemes involving positive solutions supremum and infimum.
应用比较原理和建立与正解的上下确界相关的迭代格式,得到了一些改进的结果,即惟一的正常数平衡态是全局渐近稳定的。
3.
Adopting the comparison principle and the theory of existence, the initial and boundary conditions of reaction-diffusion systems with time delays are dealt with to obtain the sufficient conditions for the existence of solutions and global asymptotic stability of a positive steady-state solution.
研究了具有时滞反应扩散方程组的初边值问题,采用比较原理、解的存在性定理,得到了解的存在性和平衡态方程正解的全局渐近稳定性的充分条件。
4) the comparison principle
比较原理
1.
Using a frequence equivalence method and the comparison principle of neutral type linear discrete system with non-integral delays, it is presented that the stabilization of large-scale neutral type linear time-varing discrete control systems with non-integral delays can be implied by the stabilization of linear time-invarite discrete control systems which have not delays.
应用频率等价法和非整数滞后中立型线性离散系统的比较原理，提出了非整数滞后中立型线性时离散控制大系统的镇定性，可以由无滞后的线性定常离散系统的镇定性所蕴含
2.
In order to investigate the instability of a class of linear time-varying systems with multidelays,the comparison principle with the vector Lyapunov function is employed.
利用比较原理结合向量Lyapunov函数研究一类多滞后线性时变系统的不稳定性,并在此基础上进一步研究一类多滞后非线性系统及多滞后区间系数系统的不稳定性,给出相关定理,丰富已有文献的相应结果。
3.
By the comparison principle and the property of solution to the Bernouli′s equation,the papershows that for arbitrary p>1,q>0 and the certain assumption u_0 ,there exists a λ>0 such that λ∈(0,λ],the solutions of(1) do not blow up in ime.
文中应用比较原理和贝努里方程解的性质，对任意的ｐ＞１，ｑ≥０以及适当的初ｕ＿０，得到：存在，使得当时，问题的解不会产生有限时间内的爆破。
5) comparison theorem
比较原理
1.
By using the comparison theorem of differential equation,sufficient conditions which guarantee the permanence of the three-species food chain system with Beddington-DeAngelis functional response are obtained.
研究具有Beddington-DeAngelis功能性反应的三种群食物链系统,利用微分方程比较原理得到保证该系统永久持续生存的充分性条件,同时也得到保证捕食者最终绝灭的充分性条件。
2.
By comparing differential inequalities with comparison theorem, the conditions which guarantee the system to be persist are obtained; further, based on these conditions, effects of diffusion on the population dynamical behavior are analyzed.
通过利用比较原理进行微分不等式的比较,得到了该系统持续生存的条件;分析了扩散运动对该系统种群动力学行为的影响。
3.
The present paper presents some comparison theorems on a class of quasilinear degenerate parabolic equations and by means of the results obtained in this paper a theorem on the strict monotonicity of generalized solutions is proved.
建立一类拟线性退缩抛物方程的比较原理 ,用其证明了广义解的某种严格单调
6) principle of contrast
对比原理
补充资料：比昂斯滕·比昂松
比昂斯滕·比昂松
比昂斯滕·比昂松（1832～1910）挪威戏剧家、诗人、小说家。主要作品有剧作《皇帝》、《挑战的手套》，诗集《诗与歌》等。1903年作品《挑战的手套》获诺贝尔文学奖 。获奖理由： “他以诗人鲜活的灵感和难得的赤子之心，把作品写得雍容、华丽而又缤纷”。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。