Cover: A Note on Dynamic Programming and Perturbation Theory.

A Note on Dynamic Programming and Perturbation Theory.

Published 1962

by Richard Ernest Bellman

Purchase Print Copy

 Format Price
Add to Cart Paperback12 pages $20.00

The solution of nonlinear differential equations by the use of dynamic-programming theory. Instead of applying the usual perturbation approach to solve nonlinear differential equations of a particular form, the author uses the technique of dynamic programming to derive a new type of perturbation expansion. The method can be applied to systems of differential equations that arise as the Euler equations of variational problems. 12 pp

This report is part of the RAND research memorandum series. The Research Memorandum was a product of RAND from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

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

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.