In this paper, the boundary layer function method, an effective method for the solution of singular perturbation, was presented and used to deal with the heat transfer in thin rectangular plates.
本文介绍了求解奇异摄动问题的一种有效方法——边界层函数法，并用此方法研究了在薄矩形板中的热传导问题。
This paper proves the existence, uniqueness and periodic problem of the solution about second order singular perturbation system by using the differential inequality.
本文用微分不等式证明了二阶奇摄动系统解的存在性、唯一性和周期性。
This paper also gives the differential equation of the nonlinear vibration model, and obtains its asymptotic solution by means of singular perturbation methods.
文中给出了这一非线性振动模型的微分方程，并用奇异摄动法求得了渐近解。
In the end, we prove the validity of the singular perturbation expansions and get some useful deductions about the existence of the classical solution to the flood wave equations.
最后文章证明了对带松弛项的流波方程初值问题所作的奇异摄动展开的有效性，得出了有关解的存在性的一些有用的推论。
In this paper, a singular nonlinear elliptic boundary value problem which is very important in applied science and pure theory was discussed by the method of perturbation, sub-and super-solution.
本文利用摄动方法和上下解方法，讨论了一类奇异非线性椭圆边值问题，它具有很好的应用背景和理论意义。
By means of the asymptotic solution of singular perturbation problem we proved the uniform convergence of this scheme with respect to the small parameter.
我们利用问题的渐近解证明了差分格式关于小参数的一致收敛性。
By means of the asymptotic solution of singular perturbation problem we proved the uniform convergence of this scheme with respect to the small parameter.
我们利用问题的渐近解证明了差分格式关于小参数的一致收敛性。
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