Abstract
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.
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Acknowledgements
This research was supported by JSPS KAKENHI (grant number JP22K03407). The author is grateful to Mr. Kenta Yamada, who performed fundamental calculations for this research as a master’s student. He is also fruitful to anonymous reviewers for their precise and helpful comments.
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Isojima, S. Indeterminate solutions of the p-ultradiscrete equation and leading term analysis. Japan J. Indust. Appl. Math. 40, 1341–1353 (2023). https://doi.org/10.1007/s13160-023-00587-6
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DOI: https://doi.org/10.1007/s13160-023-00587-6