FUNCTIONAL EQUATIONS IN THE THEORY OF DYNAMIC PROGRAMMING: II: NONLINEAR DIFFERENTIAL EQUATIONS

Abstract

The study of dynamic programming processes of continuous type gives rise to functional equations of the form dx/dt = Max/q f (x,t;q). In this paper we present a summary of some basic results concerning the existence and uniqueness of solutions of this equation. Detailed results will appear subsequently.

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Document Details

Document Type
Technical Report
Publication Date
May 05, 1955
Accession Number
AD0604705

Entities

People

  • Richard E. Bellman

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Computer Programming
  • Convergence
  • Difference Equations
  • Differential Equations
  • Dynamic Programming
  • Equations
  • Linear Differential Equations
  • Linear Systems
  • Nonlinear Differential Equations
  • Nonlinear Systems
  • Partial Differential Equations
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Linear Algebra
  • Operations Research