Accession Number : AD0728997

Title :   Successive-Approximations Method for Solutions of Nonlinear Differential Equations at an Irregular-Type Singular Point.

Descriptive Note : Final rept.,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON D C MATHEMATICS RESEARCH CENTER

Personal Author(s) : Hsieh,Po-Fang

Report Date : 26 JUL 1971

Pagination or Media Count : 31

Abstract : Two fundamental existence theorems for the study of analytic solutions of nonlinear ordinary differential equations with an irregular-type are proved. A method of successive approximations involving improper contour integrals and analyticity with respect to several complex variables is employed. (Author)

Descriptors :   (*NONLINEAR DIFFERENTIAL EQUATIONS, COMPLEX VARIABLES), APPROXIMATION(MATHEMATICS), ANALYTIC FUNCTIONS, INTEGRAL EQUATIONS, INTEGRATION, INEQUALITIES, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE