Systems of second-order linear ODE’s with constant coefficients and their symmetries II. The case of non-diagonal coefficient matrices

Systems of second-order linear ODE’s wit

Systems of second-order linear ODE’s with constant coefficients and their symmetries

✍ R. Campoamor-Stursberg 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 245 KB

Starting from the study of the symmetries of systems of 4 second-order linear ODEs with constant real coefficients, we determine the dimension and generators of the symmetry algebra for systems of \(n\) equations described by a diagonal Jordan canonical form. We further prove that some dimensions be