REGULAR PERTURBATION FOR A TURNING POINT PROBLEM.

Abstract

A block-diagonalization theorem for rho dy/dx = (x to the pth power A(x, epsilon) + rho B(x, epsilon))y at a turning point x = 0 is proved. Specially, this process is shown to be analytic with respect to a factor beta = rho to the power (1/(p+1)). (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1968
Accession Number
AD0681407

Entities

People

  • Po-fang Hsieh

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis
  • Linear Algebra