Codice  QDD 71 
Titolo  Approximating infinite delay with finite delay 
Data  20101022 
Autore/i  Conti, M.; Marchini, E.M.; Pata, V. 
Link  Download full text 
Abstract  Equations with infinite delay commonly face the philosophical objection of being unphysical ,
since a memory of infinite duration conflicts with
reality. Indeed, besides common sense, experimental observations on concrete physical
models tell that effects from the far past cannot possibly influence the current dynamics of a given system. On the other hand, infinite delay arises quite naturally in the mathematical description of several relevant phenomena. In this note, we propose a possible conceptual solution, showing that infinite delay can be recovered as a limiting case of finite delay on a large timescale, along with a quantitative control of the discrepancy. 
