DOI: 10.36347/sjpms

Pages: 139-143

According to the infinite-dimensional Liouville theorem, we give the infinite-dimensional conservation law and the Liouville integrability of a forth order free vibration equation of a beam by two cases including discrete spectrum and continuous spectrum. This equation can be considered as the infinite-dimensional Neumann models without any constraints. Keywords: Hamilton-Jacobi theory, Liouville integrability, beam vibration equation, infinite-dimensional Neumann model