Time Delay Systems with Distribution Dependent Dynamics

Abstract

General delay dynamical systems in which uncertainty is present in the form of probability measures 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.

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Document Details

Document Type
Technical Report
Publication Date
May 10, 2006
Accession Number
ADA447038

Entities

People

  • H. Thomas Banks
  • Hoan K. Nguyen
  • Sava Dediu

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Banach Space
  • Computational Science
  • Differential Equations
  • Dynamics
  • Equations
  • Hiv Infections
  • Infection
  • Inverse Problems
  • Mathematical Models
  • Partial Differential Equations
  • Probability
  • Probability Distributions
  • Production Models
  • Virion
  • Viruses

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Systems Analysis and Design