On the Multiplicity of Solutions of a Differential Equation Arising in Chemical Reactor Theory.

Abstract

Consider the boundary value problem y double prime + 1/x y' + beta exp (- 1//y/) = 0, y'(0) = y(1) = tau where beta > or = 0, tau > or = 0. The authors are concerned with a mathematically rigorous numerical study of the number of solutions in any bounded portion of the positive quadrant (tau > or = 0, beta > or = 0) of the tau, beta plane. These correct computational results may then be matched with asymptotic (beta nears infinity, tau > or = 0) results developed earlier. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1973
Accession Number
AD0776274

Entities

People

  • Myron L. Stein
  • Paul R. Stein
  • Seymour V. Parter

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Boundary Value Problems
  • Chemical Reactors
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Quadrants
  • Reactor Theory

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Fluid Dynamics.