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Another problem that mathematicians tackled from about 1880 on is essentially the converse of finding asymptotic series .

大概从1880年开始,数学家们研究的另一个问题本质上是求渐近级数的反问题。

Secondly, the asymptotic series are used to evaluate the density function of heavy-tailed Rayleigh distribution, and an efficient three-step method is proposed using the interpolating polynomial fit.

其次, 本文使用渐近级数计算拖尾Rayleigh分布的概率密度函数,基于插值多项式拟合,提出了高效计算密度函数的三步方法。

The nature of asymptotic solution is analyzed and the variations of solutions are discussed according to different parameter.

分析了渐近解的性质,并讨论了解随各参数的变化规律。

The nature of each asymptotic solution is analyzed and the variations of solutions are discussed according to each parameter.

分析了不同问题中渐近解的性质,并讨论了解随各参数的变化规律。

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

在适当的条件下,得出了这一类非线性系统解的存在性条件及其渐近解。

The new method has advantage of asymptotic solution, numerical solution and BVT method. It is useful and efficient in practical application.

混合算法结合了渐近解、数值解和BVT法的优势,是一个实用、有效的算法。

It is shown that the leading term of interior asymptotic solutions is exactly the solution of Kirchhoff plate theory.

结果表明,内域解渐近级数的首项正是熟知的Kirchhoff板理论解。

Moreover, the criterion of asymptotic stability of the zero solution are established for the SDDE with a general form.

同时,还建立了一般形式下的随机延迟微分方程零解渐近稳定的判别条件。

Finally, using the theory of differential inequality, the uniformly valid asymptotic expansions of solution for the original problem are obtained.

最后,利用微分不等式理论,得到了原问题解的一致有效的渐近展开式。

Using the fixed point principle and the theory of differential inequality, we prove the existence of the solution and an uniformly valid asymptotic expansions of the solution is given as well.

利用不动点原理及微分不等式理论,我们证明了边值问题解的存在性,并给出了解的一致有效渐近展开式。

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