A Survey of the Theory of the Boundedness, Stability, and Asymptotic Behavior of Solutions of Linear and Non-Linear Differential and Difference Equations

Abstract

The nature of solutions of differential and difference equations is of great interest to the applied mathematician, the physicist, and the engineer. In particular, numerous problems of vital concern to the Navy in connection with the self-excitation of oscillations in electronic and mechanical systems, the stability of moving bodies, the steering and turning of ships, etc. lead to non-linear differential equations. Thus far, results in the theory of these equations have been comparatively disorganized, and this survey should be useful in the unification and further development of the field. The Office of Naval Research is therefore pleased to make this report available in accordance with its statutory function of disseminating scientific information.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1949
Accession Number
ADA950244

Entities

People

  • Richard E. Bellman

Organizations

  • Princeton University

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Analytic Functions
  • Asymptotic Series
  • Boundary Value Problems
  • Difference Equations
  • Differential Equations
  • Equations
  • Inequalities
  • Integral Equations
  • Integrals
  • Linear Differential Equations
  • Linear Systems
  • Mathematics
  • Partial Differential Equations
  • Periodic Functions
  • Power Series
  • Real Variables
  • Sequences

Readers

  • Calculus or Mathematical Analysis
  • Technical Research and Report Writing.

Technology Areas

  • Microelectronics