A BIFURCATION PROBLEM FOR A FUNCTIONAL DIFFERENTIAL EQUATION OF FINITELY RETARDED TYPE,

Abstract

The qualitative behavior of solutions near an equilibrium point of an autonomous functional differential equation of finitely retarded type is examined. In particular, under certain appropriate hypotheses, it is shown that, as a certain parameter varies in a prescribed way, a family of one or more periodic orbits of the given equation bifurcates from the given equilibrium point. Suitable stability properties of these closed orbits are determined.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1969
Accession Number
AD0705210

Entities

People

  • Nathaniel Chafee

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Differential Equations
  • Equations
  • Hypotheses
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering

Technology Areas

  • Space