By using the method of multiple scales and the comparison theorem, the asymptotic behavior of solution for the initial boundary value problem is studied.

利用多重尺度法和比较定理，研究了初始边值问题解的渐近性态。

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In this paper, the author discusses the existence of solutions to initial boundary value problem of nonlinear parabolic equations and obtains the existence theorem.

讨论了一类非线性抛物型方程的初边值问题解的存在性，并得出了解的存在性定理。

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Using the contraction mapping principle, we proved a theorem about the existence of solution for initial value problem of a class of implicit ordinary differential equations of the first order.

本文应用压缩映象原理证明了一阶隐式微分方程解的存在唯一性定理。

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