Applications of the Maximum Principle to Singular Perturbation Problems.

Abstract

The maximum principle and the general theory of differential inequalities are used to obtain elementary estimates for solutions of second order ordinary differential equations. These estimates are applied to obtain results on the limiting behavior of solutions of singular perturbation problems. Some of the results presented here are new and others shed light on known results. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1970
Accession Number
AD0726418

Entities

People

  • F. W. Dorr
  • L. F. Shampine
  • S. V. Parter

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis