2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157951We consider positive travelling fronts of the time-delayed reaction-diffusion equation with the monostable birth function. Our main result says that for every fixed and sufficiently large velocity c, the positive travelling front is unique (modulo translations). To prove the uniqueness, we introduce a small parameter 1/c and realize the Lyapunov-Schmidt reduction in a scale of Banach spaces.15 pagesAnalysis of PDEsClassical Analysis and ODEs35K57; 92D25text