Indeterminate solutions of the p-ultradiscrete equation and leading term analysis
Indeterminate solutions of the p-ultradiscrete equation and leading term analysis
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p-超离散方程的不定解和首项分析
DOI：
10.1007/s13160-023-00587-6
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发表时间：
2023
影响因子：
0.9
通讯作者：
Isojima Shin
中科院分区：
文献类型：
--
作者：
Isojima Shin;Suzuki Seiichiro;Isojima Shin
奇偶变量的超离散化，甚至有利于差分方程的减法超离散化。然而，在特定条件下，解的唯一性可能会丢失，并且可能会获得“不定解”。本文从差分方程解的首项逼近的角度，研究了不定解的来源。
Ultradiscretization with parity variables facilitates the ultradiscretization of even a difference equation with subtraction. However, the uniqueness of the solution may be lost under specific conditions, and an “indeterminate solution” may be obtained. In this study, the origin of the indeterminate solution is investigated from the perspective of the approximation of solutions for the difference equation by its leading term.