Accession Number : AD0709401

Title :   A NEW METHOD FOR ESTABLISHING THE EXISTENCE OF ANALYTIC FUNCTIONS. I. THE SIEGEL NORMAL FORM THEOREM.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV BERKELEY SPACE SCIENCES LAB

Personal Author(s) : Diliberto,Stephen P.

Report Date : JUL 1970

Pagination or Media Count : 26

Abstract : The paper contains the first of a series of applications of a new method, developed by the author, for establishing the existence of an analytic function by making successive changes of variables. One establishes Siegel's theorem that for 'good' or generic small divisors, nonlinear ordinary differential equations may be linearized. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, *ANALYTIC FUNCTIONS), NONLINEAR DIFFERENTIAL EQUATIONS, TRANSFORMATIONS(MATHEMATICS), ITERATIONS, CONVERGENCE, THEOREMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE