Accession Number:

AD0606859

Title:

FUNCTIONAL EQUATIONS IN THE THEORY OF DYNAMIC PROGRAMMING. IX. VARIATIONAL ANALYSIS, ANALYTIC CONTINUATION, AND IMBEDDING OF OPERATORS

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CA

Personal Author(s):

Report Date:

1958-04-07

Pagination or Media Count:

6.0

Abstract:

In this paper it is shown how variational techniques can be applied to deduce properties for complex operators and for operators which are non- symmetric. For complex operators use is made of a min-max variation and analytic continuation, if necessary, while for non-symmetric operators an imbedding technique was used, along with analytic continuation when required. A non-symmetric operator is imbedded within a family of symmetric operators associated with a variational problem. Once the variational problem has been formulated one can apply the functional equation techniques of the theory of dynamic programming.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE