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:

1971-07-26

Pagination or Media Count:

31.0

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