Difference integrability conditions for parameterized linear difference and differential equations
Commutative Algebra
2014-04-15 v2 Dynamical Systems
Abstract
This paper is devoted to integrability conditions for systems of linear difference and differential equations with difference parameters. It is shown that such a system is difference isomonodromic if and only if it is difference isomonodromic with respect to each parameter separately. Due to this result, it is no longer necessary to solve non-linear difference equations to verify isomonodromicity, which will improve efficiency of computation with these systems.
Cite
@article{arxiv.1305.0452,
title = {Difference integrability conditions for parameterized linear difference and differential equations},
author = {Alexey Ovchinnikov},
journal= {arXiv preprint arXiv:1305.0452},
year = {2014}
}
Comments
11 pages