NUMERICAL INTEGRATION OF A DIFFERENTIALDIFFERENCE EQUATION WITH A DECREASING TIMELAG,

Abstract

Systems in which variable time-lags are present are of common occurrence in biology. Variable flow rates are a common cause of these variable lags. At present no extensive body of knowledge exists concerning the effects which these variable lags can cause. In this first memorandum it is shown how to reduce some differentialdifference equations to ordinary differential equations which can then be studied numerically with ease. Subsequent memoranda will deal with situations in which multiple-lags and lags dependent on the solution itself are present. New types of phenomena which are important for the qualitative understanding of such systems are to be discussed later. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1964
Accession Number
AD0609835

Entities

People

  • J. D. Buell
  • Richard E. Bellman
  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Flow Rate
  • Mathematics
  • Numerical Integration

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Calculus or Mathematical Analysis
  • Control Systems Engineering.