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arXiv · 1305.0452

Difference integrability conditions for parameterized linear difference and differential equations

Alexey Ovchinnikov
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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.

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Alexey Ovchinnikov. 2013-05-02. Difference integrability conditions for parameterized linear difference and differential equations. https://doi.org/10.1016/j.aam.2013.09.007

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