2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/105089In this thesis we introduce the concept of a guided dynamical system, and exploit this idea to solve various problems in functional equations and PDE's. Our main results are 1) a necessary and sufficient condition for unique-solvability of an initial value functional equation, 2) a proof of the overdeterminedness of a large class of functional equations and 3) a necessary and sufficient condition for unique-solvability of a boundary value problem for a third order, hyperbolic PDE.M.Sc. Thesis (Technion, IIT), 60 Pages, under the supervision of Prof. Boris Paneah; acknowledgements correctedDynamical SystemsClassical Analysis and ODEs37B99 (Primary) 39B22, 39B52, 35L35 (Secondary)text