2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/16049We prove global existence and uniqueness of solutions of some important nonlinear lattices which include the Fermi-Pasta-Ulam (FPU) lattice. Our result shows (on a particular example) that the FPU lattice with high nonlinearity and its continuum limit display drastically different behaviour with respect to blow up phenomenon.LATEX 16 pages (no figures). To appear in Applicable AnalysisDisordered Systems and Neural NetworksPattern Formation and Solitonstext