Dynamic programming and the variation of Green's functions.

Richard Ernest Bellman, Howard A. Osborn

ResearchPublished 1957

An application of the functional equation technique of dynamic programming 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.

Order a Print Copy

Format
Paperback
Page count
8 pages
List Price
$15.00
Buy link
Add to Cart

Document Details

  • Availability: Available
  • Year: 1957
  • Print Format: Paperback
  • Paperback Pages: 8
  • Paperback Price: $15.00
  • Document Number: P-1150

Citation

RAND Style Manual
Bellman, Richard Ernest and Howard A. Osborn, Dynamic programming and the variation of Green's functions. RAND Corporation, P-1150, 1957. As of September 13, 2024: https://www.rand.org/pubs/papers/P1150.html
Chicago Manual of Style
Bellman, Richard Ernest and Howard A. Osborn, Dynamic programming and the variation of Green's functions. Santa Monica, CA: RAND Corporation, 1957. https://www.rand.org/pubs/papers/P1150.html. Also available in print form.
BibTeX RIS

This publication is part of the RAND paper series. The paper series was a product of RAND from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.

RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.