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

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)

Document Details

Document Type
Technical Report
Publication Date
Jul 26, 1971
Accession Number
AD0728997

Entities

People

  • Po-fang Hsieh

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Complex Variables
  • Contour Integrals
  • Differential Equations
  • Equations
  • Integrals
  • Linear Differential Equations
  • Mathematical Analysis
  • Nonlinear Differential Equations
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis