ON SINGULAR PERTURBATION PROBLEMS WITH INTERIOR NONUNIFORMITIES.

Abstract

Certain boundary value problems of the form epsilon y double prime = f(x,y,y', epsilon), 0 = or < x = or < 1; y(0) = alpha(epsilon), y(1) = beta(epsilon) have solutions whose derivatives exhibit nonuniform convergence within (0,1) as epsilon approaches 0+. A method for constructing asymptotic solutions to such problems is presented. The work is related to previous investigations by Haber and Levinson and Vasil'eva. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1968
Accession Number
AD0678974

Entities

People

  • R. E. O'malley Jr.

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Convergence
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Nonuniform
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Linear Algebra