Some new techniques in the dynamic programming solution of variational problems

Open Access

1 October 1958

journal article
Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics

Vol. 16 (3) , 295-305
https://doi.org/10.1090/qam/102032

Abstract

In previous papers, it has been shown that the functional equation technique of dynamic programming may be applied to yield the numerical solution of a wide class of variational problems of the type occurring in mathematical physics, engineering, and economics.

Keywords

This publication has 8 references indexed in Scilit:

On a Dynamic Programming Approach to the Caterer Problem—I
Management Science, 1957
Notes on control processes. I. On the minimum of maximum deviation
Quarterly of Applied Mathematics, 1957
Variational problems with constraints
Annali di Matematica Pura ed Applicata (1923 -), 1956
Dynamic Programming and the Smoothing Problem
Management Science, 1956
DYNAMIC PROGRAMMING AND LAGRANGE MULTIPLIERS
Proceedings of the National Academy of Sciences, 1956
A Survey of the Mathematical Theory of Time-Lag, Retarded Control and Hereditary Processes
Econometrica, 1955
On some variational problems occurring in the theory of dynamic programming
Rendiconti del Circolo Matematico di Palermo Series 2, 1954
Stability Theory of Differential Equations.
The American Mathematical Monthly, 1954