Difference integrability conditions for parameterized linear difference and differential equations

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.

11 pages

References in corpus (2)

• Low Complexity Algorithms for Linear Recurrences
• Parameterized generic Galois groups for q-difference equations, followed by the appendix "The Galois D-groupoid of a q-difference system" by Anne Granier

Cited by in corpus (1)

• Tannakian categories with semigroup actions