SOME NUMERICAL ASPECTS OF UNSTABLE FOUNDARY-VALUE PROBLEMS,

Abstract

In various fields of application, including radiative transfer and automatic control, there is a need to integrate unstable linear systems of ordinary differential equations subject to two-point or multipoint boundary conditions. Special precautions must be taken to prevent the deleterious effects of the instability from manifesting themselves. The use of imbedding techniques, Laplace transforms, and concepts from control theory itself can prove efficacious, as some examples in this memorandum show. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1966
Accession Number
AD0630266

Entities

People

  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Automatic
  • Boundaries
  • Control Theory
  • Differential Equations
  • Equations
  • Instability
  • Linear Systems
  • Radiative Transfer

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Systems Analysis and Design
  • Theoretical Analysis.