DYNAMIC PROGRAMMING AND THE VARIATION OF GREEN'S FUNCTIONS

Abstract

The functional equation technique of dynamic programming is applied to the study of quadratic functionals whose Euler variational equations are linear self-adjoint partial differential equations of the second order. A first consequence is the classical Hadamard variational formula for the Green's function of a region. Some extensions are indicated.

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Document Details

Document Type
Technical Report
Publication Date
Aug 06, 1957
Accession Number
AD0606464

Entities

People

  • Howard Osborn
  • Richard E. Bellman

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Computer Programming
  • Difference Equations
  • Differential Equations
  • Dynamic Programming
  • Equations
  • Integrals
  • Partial Differential Equations
  • Variational Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis