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Basing on this, the formal asymptotic expansion of solution for the original problem is obtained. Finally, under suitable conditions, existence and its uniform validity of asymptotic expansion of solution for the initial boundary value problem are proved,by using theory of differential inequalities.

在这基础上得到了原问题解的形式渐近展开式;最后,在适当的条件假设下,利用微分不等式理论,证明了原初边值问题解的存在性及其渐近展开式的一致有效性。

By introducing proper stretchy variable and constructing boundary layer function, it concludes N-order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved.

通过引进适当的伸长变量,构造边界层函数,得到了解的N阶近似值,并利用微分不等式理论证明了解的渐近展开式的一致有效性。

The criterion of the globally asymptotic stability of equilibrium point is given via the method of constructing a suitable Lyapunov functional and sector condition.

通过构造适当的Lyapunov泛函及扇区条件,给出了平衡点渐近稳定的判定准则。

The application of an appropriate apodization film to an ordinary lens makes the point amplitude response asymptotic to a Dirac-delta function, or causes an arbitrarily narrow depth of focus. This implicates that we may achieve lateral or axial superresolution through implementing an apodization film.

运用适当形式的光瞳滤波器可以改变成像系统点振幅响应的分布,使其具有类似于冲击函数(Dirac-delta函数)的形式,这样就有可能实现光学超分辨,但变迹术的运用往往会因其强烈的旁瓣效应而导致成像系统对比度的急剧下降。

Under appropriate conditions the asymptotic solution and its existence conditions are obtained.

适当的条件下,得出了这一类非线性系统解的存在性条件及其渐近解。

Under suitable conditions,and by using the theory of differential inequalities, the existence and asymptotic behavior of solution for the boundary value problems are studied.

适当的条件下,利用微分不等式理论,讨论了该边值问题解的存在性和渐近性态,给出了渐近估计式:u0-Ui0-u0(0)+O≤u≤u0+O,0≤x≤1。

In this paper,by using the comparison theorems and constructing suitable Lyapunov function, the sufficient conditions are obtained for the permanence and existence of globally asymptotically stable positive periodic solution of the system.

研究了具有反馈控制的n种群非自治周期竞争系统的持续性,利用微分不等式并构造适当的Lyapunov函数得到系统存在惟一、全局吸引的正周期解的充分条

This paper consists of three parts:We first consider the non-autonomous predator-prey system with both Beddirigton-DeAngelis functional response and dispersion. By using comparison theorem of differential equation, we study the permanance of the system. After that, by constructing suitable Lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system.

本文研究三方面的内容:第一部分考虑具有扩散和Beddington—DeAngelis功能反应的捕食-食饵系统,利用微分方程比较原理得到该系统一致持续生存的条件;通过构造适当的Lyapunov函数得到了该系统存在全局渐近稳定概周期解的充分条件。

Under some additional assumptions, the whole system is semi-global asymptotically stable.

适当的假设下,得到了系统的半全局渐近稳定。

If you begin to bounce in the saddle, increase the resistance. Riding at a consistent pace with good resistance develops power, strength and endurance.

假如你开始习惯在骑车时从坐垫上快速跳起,增加阻力,并在适当阻力下保持连续节奏,这些都有助于提高自身的力量、强度和耐力。

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And discuss some key point of integrated management system design, include hazard identification and risk assessment and risk control in the occupational health and safety management, the measure of satisfaction target of customer, the flawlessness of law system, the integration of the integrated management system and enterprise standardization system, unify lead institution and work orgnization, integreted internal audit and integrated management review.

同时,论述了一体化管理体系构建中的几个主要问题,包括职业健康安全管理中的危险源辨识、风险评价和风险控制、顾客满意度的科学监测、法律、法规体系的完善、一体化管理体系与企业标准化体系的有机结合、统一的领导机构和工作机构、一体化的内部审核和管理评审。

Deepwater Taranaki is investigated for its petroleum potential, using all available seismic data tied to shallow-water wells.

运用与浅水井相关的现有全部震波探测数据考察了深海区塔拉纳基盆地的油藏前景。

If you're huffing and puffing at any point during the run, slow down and make sure you can take deep breathes.

如果你任何时候在跑步过程中气喘如牛,降低速度并且确保你能够深呼吸。