TIME DELAY SYSTEMS WITH DISTRIBUTION DEPENDENT DYNAMICS.
General delay dynamical systems in which uncertainty is present in the form of probability measure dependent dynamics are considered. Several motivating examples arising in biology are discussed. A functional analytic framework for investigating well-posedness (existence, uniqueness and continuous dependence of solutions), inverse problems, sensitivity analysis and approximations of the measures for computational purposes is surveyed.
Banks
H T
HT
Center for Research in Scientific Computation, Box 8205, North Carolina State University, Raleigh, N.C. 27695-8205 USA.
Dediu
Sava
S
Nguyen
Hoan K
HK