RT Journal Article T1 A Liouville’s Formula for Systems with Reflection A1 Codesido, Santiago A1 Fernández Tojo, Fernando Adrián K1 ODEs (ordinary differential equations) K1 Reflection K1 Linear systems K1 Liouville’s formula AB In this work, we derived an Abel–Jacobi–Liouville identity for the case of two-dimensional linear systems of ODEs (ordinary differential equations) with reflection. We also present a conjecture for the general case and an application to coupled harmonic oscillators PB MDPI YR 2021 FD 2021 LK http://hdl.handle.net/10347/26806 UL http://hdl.handle.net/10347/26806 LA eng NO Mathematics 2021, 9(8), 866; https://doi.org/10.3390/math9080866 NO F. Adrián F. Tojo was partially supported by Xunta de Galicia, project ED431C 2019/02, and by the Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDER DS Minerva RD 7 jun 2026