Accession Number : AD0616577

Title :   PERTURBATION AND RENORMALIZATION. I,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Bellman,Richard ; Richardson,John M.

Report Date : 08 MAR 1960

Pagination or Media Count : 11

Abstract : The aim of the work is to present a new formalism for obtaining the perturbation solution of a nonlinear equation. The particular equations written will be used to illustrate the technique which is quite general. Although the method employed appears to be known in the literature of mathematical physics in particular cases, its scope does not appear to have been appreciated, nor does it seem to have been exploited in the mathematical domain. Attention was restricted to obtaining the first term of the perturbation expansion, reserving for a later date the questions of higher order terms, of application to more complex functional equations, of application to specific physical problems, to the derivation of asymptotic expansions, and finally, the problem of validating the technique. (Author)

Descriptors :   (*PERTURBATION THEORY, NONLINEAR DIFFERENTIAL EQUATIONS), (*NONLINEAR DIFFERENTIAL EQUATIONS, PERTURBATION THEORY), INTEGRAL EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE