Difference integrability conditions for parameterized linear difference and differential equations

作者：Ovchinnikov Alexey^*

来源：Advances in Applied Mathematics, 2014, 53: 61-71.

DOI：10.1016/j.aam.2013.09.007

• Difference algebra
• Differential algebra
• Integrability conditions
• Difference Galois theory
• Differential Galois theory

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.

• 出版日期2014-2