In this paper, We prove that the orthogonal condition to solve the uniform asymptotic solution of second order linear P. D. E in periodic region is the necessary and sufficient condition.
本文证明了求解周期区域上的二阶线性偏微分方程的一致有效渐近解的正交条件是充分和必要的。
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Then, the latter necessary and sufficient condition is generalized to the case for the two different point ranges of degenerate second order curve.