Email this article On testing the existence of universal denominators for partial differential and difference equations
- Authors: Paramonov S.V.1,2
-
Affiliations:
- Department of Computational Mathematics and Cybernetics
- Dorodnicyn Computing Center
- Issue: Vol 43, No 2 (2017)
- Pages: 126-129
- Section: Article
- URL: https://journal-vniispk.ru/0361-7688/article/view/176499
- DOI: https://doi.org/10.1134/S0361768817020104
- ID: 176499
Cite item
Open Access
Access granted
Subscription Access
Abstract
We consider the problem of testing the existence of a universal denominator for partial differential or difference equations with polynomial coefficients and prove its algorithmic undecidability. This problem is closely related to finding rational function solutions in that the construction of a universal denominator is a part of the algorithms for finding solutions of such form for ordinary differential and difference equations.
About the authors
S. V. Paramonov
Department of Computational Mathematics and Cybernetics; Dorodnicyn Computing Center
Author for correspondence.
Email: s.v.paramonov@yandex.ru
Russian Federation, Moscow, 119991; ul. Vavilova 40, Moscow, 119333
Supplementary files
