Accession Number:

AD0604924

Title:

ON A CLASS OF VARIATIONAL PROBLEMS

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CA

Personal Author(s):

Report Date:

1955-08-03

Pagination or Media Count:

14.0

Abstract:

The problem of determining the minimum of a functional is treated using the functional equation technique of the theory of dynamic programming. The problem is reduced to the solution of a system of ordinary differential equations satisfying one-point boundary conditions. The discrete case, corresponding to the minimization of a class of quadratic forms, is also treated by the same general method. A particular problem of this type arises in the treatment of the optimal inventory problem by Holt, Simon, and Modigliani.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE