Global set contraction method for non-causal FDE
by
Efim A. Galperin
Departement de mathematiques, Universite du Quebec a Montreal, C.P. 8888, Succ. Centre Ville, Montreal, Que., H3C 3P8, Canada

Many natural phenomena can be modelled by noncausal functional differential equations. Though a process represented by such equations cannot be interpreted as a simple propagation of a dynamical system, a noncausal system can be viewed as a legitimate physical model of a physical process. Largely bypassed in the conventional mathematical physics, noncausal equations represent implicit fields, i.e., fields for which the generating explicit external forces are not immediately observable. In this talk, examples of different noncausal equations are discussed, and a standard global set contraction method is developed for the solution of noncausal systems (existence; measure of inconsistency, if any; numerical approximations), including advance functional differential equations.

Date received: March 17, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cakk-26.