FUNCTIONAL EQUATIONS IN THE THEORY OF DYNAMIC PROGRAMMING; V: POSITIVITY AND QUASI-LINEARITY,

Abstract

We determine conditions under which the solution of u(p) = Max sub q L(u,p,q)+a(p,q) may be written u(p) = Max sub q v(p,q), where v(p,q) is the solution of v(p) = L(v,p,q) +a(p,q) for arbitrary q = q(p). (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 11, 1955
Accession Number
AD0604916

Entities

People

  • Richard E. Bellman

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Computer Programming
  • Computing-Related Activities
  • Dynamic Programming
  • Equations
  • Interdisciplinary Science
  • Linearity
  • Mathematical Programming
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis
  • Operations Research