2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222227A nonlinear inequality is formulated in the paper. An estimate of the rate of decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations. It can be applied to the study of global existence of solutions to nonlinear PDE.12 pagesClassical Analysis and ODEs65J15, 65J20, 65N12, 65R30, 47J25, 47J35A nonlinear inequality and applicationstext