Accession Number : AD0604916

Title :   FUNCTIONAL EQUATIONS IN THE THEORY OF DYNAMIC PROGRAMMING; V: POSITIVITY AND QUASI-LINEARITY,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Bellman,Richard

Report Date : 11 JUL 1955

Pagination or Media Count : 8

Abstract : We determine conditions under which the solution of u(p) = Max sub q L(u,p,q)+a(p,q) may be written u(p) = Max sub q v(p,q), where v(p,q) is the solution of v(p) = L(v,p,q) +a(p,q) for arbitrary q = q(p). (Author)

Descriptors :   (*DYNAMIC PROGRAMMING, EQUATIONS), (*EQUATIONS, DYNAMIC PROGRAMMING), DIFFERENTIAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, CALCULUS OF VARIATIONS, FUNCTIONAL ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE