comparison principle

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。

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。

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。

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。

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。

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

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

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。

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。

The Comparison Principle of the Rational Multidelays Neutral Type Discrete Systems;

多有理数滞后中立型离散系统的比较原理

The Research on Stability and Stabilization of Large-scale Systems Based on Comparison Principle Theory;

基于比较原理的大系统的稳定性与镇定研究

A Comparative Archetypal Analysis of the Hobbit and Journey to the West;

原型理论分析比较《霍比特人》和《西游记》

Reconsideration on the Theory of Comparative Advantage--Comment on Utopia Character about This Theory;

对比较优势原理的再思考——评比较优势原理的“乌托邦”性质

A Comparison Between Optimality-Theoretic Syntax and the Principles-and-Parameters Theory;

优选句法理论与原则——参数理论的比较

Brief Analysis of Principles and Methods on Comparative Therapeutics

“比较治疗学”的原理与方法浅析

The Principle of Comparative Advantage and the Optimization of Labor Force Deployment

从比较优势原理看人力资源优化配置

Higher-speed connectivity is fundamental here.

比较高-速度连接性是基本原理这里。

Computational Comparison of Revelation Principle Based on Mechanism Truth;

基于机制诚实性的显示原理算法比较

Comparison of Euthanasia Legislation and Preliminary Study on Euthanasia s Principles of Legislation;

安乐死立法比较兼立法原则理论初探

Comparative Education Research and Originality of Education Theory in China;

比较教育研究与教育理论的中国原创

The Principles and Progress of Analog-to-Digital Converter and Digital-to-Analog Converter;

ADC和DAC工作原理比较和发展现状

A Comparison of Sufficient and Necessary Conditions and Prototypic Theory in Semantic Analysis;

充要条件与原型理论释义功能之比较

The Comparison of the Educational views in Xueji and The Principles of Oratory;

《学记》与《雄辩术原理》中的教学观比较

Comparison Analysis of Land Readjustment in Plain Region and Mound Region

平原区与丘陵区土地整理的比较分析

The Principle and Comparison of Vessel Testing Method on Test Concrete Aggregating;

容量法测量混凝土拌和物配合比的原理及比较

A Comparative Study of the Rule of Reasonableness and the Principle of Proportionality;

合理性原则与比例原则的比较研究——一个以判例为基础的思考

Comparison Research on Allergen of Children Asthma and Relative Nursing

儿童哮喘过敏原比较研究及其相关护理