2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131045In the paper we completely describe the set of all solutions of a recursive equation, arising from the Bethe lattice models over $p$-adic numbers.6 pages. Appear in Appl. Math. LettDynamical SystemsNumber Theory46S10, 12J12On a recursive equation over $p$-adic fieldtext