ON THE ASYMPTOTIC SOLUTION OF MULTI-POINT BOUNDARY VALUE PROBLEMS.

Abstract

The paper analyzes certain multi-point boundary value problems for linear ordinary differential equations which depend on a small, positive parameter epsilon. The differential order of both the equation and the boundary conditions are allowed to drop when epsilon = 0. Conditions are obtained to guarantee convergence to a limiting solution as epsilon approaches zero, and complete asymptotic expansions are then given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1968
Accession Number
AD0679496

Entities

People

  • R. E. O'malley Jr.

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundaries
  • Boundary Value Problems
  • Convergence
  • Differential Equations
  • Equations
  • Guarantees
  • Mathematical Analysis

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Statistical inference.