2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/190827The result from developing and applying the notions of functional self-similarity and the Bogoliubov renormalization group to boundary-value problems in mathematical physics during the last decade are reviewed. The main achievement is the regular algorithm for finding renormalization group-type symmetries using the contemporary theory of Lie groups of transformations.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol.121, No.1, pp.66-88, October, 1999Mathematical PhysicsHigh Energy Physics - TheoryExactly Solvable and Integrable Systemstext