Accession Number:

AD0609649

Title:

A DYNAMIC PROGRAMMING APPROACH TO THE NONPARAMETRIC PROBLEM IN THE CALCULUS OF VARIATIONS,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Report Date:

1964-12-01

Pagination or Media Count:

41.0

Abstract:

This memorandum presents an approach to the nonparametric simple problem of the calculus of variations that is in the spirit of dynamic programming. Under the assumptions that the functions that define minimizing curves exhibit a certain regularity in their behavior, differentiability properties of the optimal value function W are determined. Then the fundamental partial differential equation of dynamic programming is obtained, and the necessary conditions of the calculus of variations, with the exception of Jacobis condition, are deduced as immediate corollaries. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE