2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116322We consider Knizhnik-Zamolodchikov system of linear differential equations. The coefficients of this system are rational functions. We prove that under some conditions the solution of KZ system is rational too. This assertion confirms partially the conjecture of Chervov-Talalaev.Mathematical PhysicsClassical Analysis and ODEs34M05; 34M55; 47B38text